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Areas of Research and Interest |
My fields of research are String Theory and two dimensional conformal field theory. I am mainly interested in the study of non compact conformal field theory and its relation with the description of the dynamic of string theory on curved manifolds. Indeed, my research activities in the recent years have been focused on the study of the Wess-Zumino-Novikov-Witten model formulated on SL(2,R) group manifold and the construction of a consistent and unitary spectrum in the context of string theory in three dimensional Anti-de Sitter space-time.
Intention and personal motivation
The study of string theory beyond the supergravity approximation. The world-sheet formultation from exact two-dimensional conformal field theories.
Specific research
Specifically, I have studied the free field realization of the SL(2,R) conformal theory and the range of scope of such a representation; e.g. within this context we stressed that free field realization describes features of the string theory on AdS_3 beyond the near boundary limit.
Also in relation with the Wakimoto's free field description, we studied the feasibility of the analytic continuation of the functional form of primary fields correlation function in terms of non-rational values of SL(2)-isospin; we studied the relation existing between two different screening charges in the Coulomb-gas like prescription. We also analyzed the factorization properties of the N-point functions, the role played by flowed representations and the inclusion of winding sectors within the context of the study of the relation existing between the CFT on SL(2,R) and the model formulated on the product SL(2)xU(1)/U(1). We extended our study to the case of two-dimensional black hole SL(2,R)/U(1) as well as the euclidean version of AdS_3, described by the model in the homogeneous space SL(2,C)/SU(2).
We investigated a proposal for a generalization of the Dotsenko's integral representation of conformal blocks for the non compact SL(2)_k case, including the flowed representations, which represent winding sectors.
Recent investigations
Currently, I am interested in the study of the classification of the non perturbative effects in AdS_3, those which have been interpreted by Maldacena and Ooguri as instantons in the world-sheet CFT. Several motivations could be found as reasons to analyse the 4-point functions on SL(2,R); this is one of the topics of my recent interest. I am also interested in the sine-Liouville model and the features related with the Fateev-Zamolodchikov-Zamolodchikov conjecture, relating strong and weak regime.
I have been working in the study of logarithmic solutions of SL(2)_k Knizhnik-Zamolodchikov equation, its relation with the unitarity of string spectrum in non-compact group manifolds and, in particular, its connection with the monodromy properties of Maldacena-Ooguri-Teschner factorization ansatz of the euclidean SL(2,C)/SU(2) CFT theory.
Other subjects of my interest are matters related with the geometry of the euclidean version of the two dimensional Witten's black hole (i.e. the cigar manifold SL(2,R)/U(1)) and the particular features of this subject and related topics, e.g.: the Fateev-Zamolodchikov-Zamolodchikov conjecture, sine-Liouville CFT model, 2D quantum gravity, c=1 matter conformal model, mirror and other algebraic automorphism in the two-dimensional superconformal N=2 models (mirror symmetry staff, spectral flows, etc.), the string spectrum in the background of BTZ black hole and other orbifold constructions in AdS_3, and the formulation of the open string theory and the dynamic of AdS_2 branes in AdS_3.
Other topics of general interest
The mathematical
aspects of black hole physics and related things are also topics
of my area. Indeed, I am motivated by the study of several subjects of
mathematical physics: e.g. the application of (co)homology in the
context of string theory and other topics in algebraic topology related
with two dimensional conformal models and representation of vertex
algebra.
PostScriptum: More on String Theory on AdS3
The interest of string theory
on three dimensional Anti-de Sitter spacetime (AdS3) has been recently
renewed by the fact that this model raises the hope to explicitly work
out the details of the Maldacena's conjecture beyond supergravity aproximation.
In the past, the string theory on AdS3 has been extensively studied as
a toy model to investigate the consistency of string propagation on curved
spacetimes. Since this theory is described by the Wess-Zumino-Witten
model formulated on SL(2,R), the model is also a very interesting subject
within the context of non-compact conformal field theory.
Recently, there have been
several discussions about the spectrum of the WZW model on SL(2,R). The
unitarity of the theory was extensively discussed taking into account the
application to represent the spectrum of string theory; in the last years
the relevance of the flowed sectors in order to describe winding states
was pointed out by Maldacena and Ooguri. On the other hand, recent works
propose this model as an example of a logarithmic conformal field theory.
Research in String theory in Argentina? ...visit http://www.fisica.unlp.edu.ar/strings/
Exempli
gratia, Abstract of one of my last works
We study the solutions to the sl(2,R)_k Knizhnik-Zamolodchikov equation.
First, logarithmic solutions which represent four-point correlation functions describing string scattering processes on three-dimensional Anti-de Sitter space are discussed. We classify different types of logarithmic singularities arising and propose an interpretation of these. The logarithms found here fit into the usual pattern of four-point function structure of other examples of AdS/CFT correspondence and, thus, these can be interpreted as resonances in AdS_3. In addition, logarithmic solutions which are related to non perturbative (finite k) effects are found. The non perturbative effects and the operator mixing of two-particles states can be identified as the responsible phenomena of the appearence of such singularities in the four-point correlation functions.
By means of the relation existing between four-point functions in Wess-Zumino-Novikov-Witten model formulated on SL(2,R) and certain five-point functions in Liouville quantum conformal field theory, we show how the reflection symmetry of Liouville theory induces particular automorphisms of the spactral flow symmetry of sl(2,R)_k Kac-Moody algebra. This Liouville description enables us to present a natural explanation for the arising of logarithmic singularities.
Gaston E. Giribet
Breve Resumen (in spanish)
En marzo de 1994 comencé los estudios de la Licenciatura en Ciencias Físicas en la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires (UBA). Comencé luego mi trabajo de tesis de licenciatura en el área de la teoría de cuerdas en el espacio-tiempo curvo bajo la dirección de Carmen A. Núñez. Dicho trabajo de tesis se desarrolló en el Instituto de Astronomía y Física del Espacio (IAFE) en el contexto del Grupo de Teorías Cuánticas Relativistas y Gravitación.
En marzo de 1998 ingresé como docente del Departamento de Física de la Facultad y terminé mis estudios de grado en mayo de 1999, cuando recibí el título de Licenciado en Ciencias Físicas. El título de mi tesis de licenciatura fue Principio holográfico y teorias de cuerdas en AdS3.
En abril de 1999 obtuve una beca del Consejo Nacional de Investigaciones Científicas y Técnicas (Conicet) para comenzar mis estudios de postgrado. En noviembre de 1999 ingresé a la carrera de Doctorado en Física en la Universidad de Buenos Aires. Mi tesis doctoral, también realizada bajo la dirección de Carmen A. Núñez en el IAFE, se trató del estudio del espectro y las interacciones de las cuerdas bosónicas en el espacio-tiempo AdS3.
A lo largo de los cuatro años de duración de mi carrera de postgrado tuve el apoyo del Abdus Salam International Center for Theoretical Physics (ICTP) al permitirme asistir y financiar mi participación en los Spring Workshops on Superstrings and Relatted Topics entre 1999 y 2003. Menciono especialmente estas reuniones porque, según considero, fueron de crucial importancia para el desarrollo de mi trabajo de tesis y mi formación en el área.
En julio de 2003 presenté mi tesis doctoral con el titulo Teoría de cuerdas en AdS3 y recibí de esta manera el Doctorado de la Universidad de Buenos Aires. Paralelamente seguí mis estudios de cursos de postgrado en el Departamento de Matemática de la FCEN con la intención de complementar, así, mi formación en los aspectos formales de la física matemática tales como la topología algebráica, la teoría de representaciones de álgebras de Lie y tópicos de geometría algebráica. Desde 1999, publiqué diversos artículos en revistas internacionales tales como Journal of High Energy Physics, Nuclear Physics, Classical and Quantum Gravity, Physics Letter, etc. actuando también como referee de algunas de ellas y de otras.
En 2003, obtuve una beca de la Fundación Antorchas que me permitió, junto a la financiación de la School of Natural Sciences del Institute for Advanced Study (IAS), iniciar mi trabajo de investigación postdoctoral en Princeton bajo la supervisión de Juan Martín Maldacena.
G.G.
Gaston E. Giribet
Brief version (on line) of my curriculum vitae
(rtf-file)
PERSONAL DATA
Name: Gaston E. Giribet
Nacionality: Argentine
Date of birth: September 8, 1973
Photography: Click
here
Current institute: Institute for Advanced Study (IAS)
Current address: Einstein Drive NJ08540 Princeton,
USA
PUBLICATIONS
Recent publications in theoretical and mathematical
physics
(period 1999-2004)
1. M. Aiello, R. Ferraro and G. Giribet, Exact black hole solutions of the Lovelock-Born-Infeld black hole, submmited, (2004). arXiv:gr-qc/0408078
2. G. Bertoldi, S. Bolognesi, G. Giribet, M. Matone and Yu Nakayama, Zamolodchikov coefficients and Liouville hierarchy in SL(2,R)_k WZNW model, submmited (2004). arXiv:hep-th/0409227
3. G. Giribet, Sobre el principio de incerteza de Heisenberg entre tiempo y energia: una nota didactica, submitted to Revista Mexicana de Fisica, (2004). Preliminary version available here.
4. G. Bertoldi and G. Giribet, Zamolodchikov's operator-valued relations for SL(2,R)_k WZNW model, to be published in Nucl.Phys.B (2004). arXiv:hep-th/0405094
5. G. Giribet and C. Simeone, Liouville theory and logarithmic solutions to Knizhnik-Zamolodchikov equation, submitted (2004). arXiv:hep-th/0402206
6. G. Giribet and D. Lopez-Fogliani, Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model, JHEP 0406 (2004). arXiv:hep-th/0404231
7. G. Giribet, Brief comments on Jackiw-Teitelboim gravity coupled to Liouville theory, Class.Quant.Grav. 20 (2003). arXiv:gr-qc/0303068
8. G. Giribet and C. Simeone, Deparametrization and quantization of the Taub universe, Int.J.Mod.Phys. A17(2001). Included in Deparametrization and Path Integral Quantization of Cosmological Models, Lectures Notes in Physics, World Scientific 69 (2002), arXiv:gr-qc/0111079
9. G. Giribet and C. Simeone, Comments on quantum cosmology with extrinsic time, PhysLett. A287 (2001) (devired of the talk delivered at ReBReG2000 UNLP), arXiv:gr-qc/0106027
10. G. Giribet, Prelogarithmic operators and Jordan bloks in SL(2)_k algebra, Mod.Phys.Lett. A16 (2001) 821, arXiv:hep-th/0105248
11. G. Giribet and C. Núñez, Correlators in AdS_3 string theory, JHEP 0106 (2001), arXiv:hep-th/0105200
12. G. Giribet and C. Simeone, Global phase time and path integral for string cosmological models, Mod.Phys.Lett. A16 (2001), arXiv:gr-qc/0008024
13. G. Giribet and C. Núnez, Aspects of the free field description of string theory on AdS_3, JHEP 0006 (2000) 033, arXiv:hep-th/0006070
14. G. Giribet and C. Núnez, Interacting strings on AdS_3, JHEP 9911 (1999) 031, arXiv:hep-th/9909149
For a complete list of my papers in arXiv@org: Click here
Thesis work
1. G. Giribet, Holographic principle and string theory on AdS_3, Licenciature (MSc) thesis, Departamento de Fisica de la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires FCEN-UBA (1999), Advisor: Dra. C. Núnez. PS-file.
2. G. Giribet, A unitary string theory on AdS_3
spacetime , Doctoral (PhD) thesis, Departamento de Fisica de la Facultad
de Ciencias Exactas y Naturales de la Universidad Buenos Aires FCEN-UBA,
Advisor: Dra. C. Núnez. Bibliography reference: http://www.opac.bl.fcen.uba.ar/index.html
Thesis 3586. PS-file.
Other professional activities,
Referee of Classical and Quantum Gravity, IOP Institute of Physics.
Referee/Reviewer of Journal of Mathematical Physics, AIP American Institute of Physics.
Reviewer of Mathematical Review, AMS American
Mathematical Society.
RESEARCH AND POSTDOCTORAL
1. Member of the Institute for Advanced Study (IAS) at Princeton. School of Natural Sciences. Period: first term 2003 - second term 2004. Scholar Research (Postdoc)
2. Full-time position, Physics Department, Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires (UBA). Since May 2003. Teaching and Research position. On leave from Buenos Aires University between 2003 and 2004.
3. Member of the Instituto de Astronomia y Fisica
del Espacio (IAFE), CONICET. As undergraduated
student during 1998-1999, as graduated student during: March 1999 - March
2003; advisor by C. Nunez. Period: July 1998 - March 1999.
FELLOWSHIPS AWARDED
Doctoral and Postdoctoral fellowships
1. Fellowship for Postdoctoral Studies, by Fundacion Antorchas. Beca Postdoctoral externa cofinanciada con el IAS. Partial funancial support. Period: first term of 2003 - second term of 2004
2. Fellowships for Postdraduate Studies, by the National Research Council for Science and Technology, Argentina. Beca de formacion de Postgrado del Consejo Nacional de Investigaciones Cientificas y Tecnicas, CONICET, Argentina. Period: march 1999 - march 2003
Financing for professional activities
Financial Support of the Abdus Salam International Centre for Theoretical Physics ICTP for attendance to the Spring Workshop on Superstrings and Relatted Matters in 1999, 2000, 2001, 2002 and 2003. Financial Support of the same institution for the participation in the Latin-American String School in 1998 and 2000.
TEACHING
Teaching and academic activities
1. Physics Department FCEN-UBA Buenos Aires University, (Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires). Full-time dedication as teaching Assistant (Ayudante de prmera, Regular con dedicacion exclusiva). Since 2003. F.C.E.N.
2. Physics Department FCEN-UBA Buenos Aires University, (Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires). Senior Teaching Assistant (Jefe de Trabajos Prácticos Regular con dedicacion simple). Since 2001. F.C.E.N.
3. Physics Department FCEN-UBA Buenos Aires University, (Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires). Teaching Assistant (Ayudante de primera Regular con dedicacion simple). Period: from 1999 to 2001. F.C.E.N.
4. Mathematics, Cathedra Nicolini, FADU-UBA (Facultad de Arquitectura diseño y Urbanismo de la Universidad de Buenos Aires). Student Assistant (Ayudante de segunda). Period: 1999.
5. Physics Department FCEN-UBA Buenos Aires University, (Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires). Student Assistant (Ayudante de segunda). Period: from 1998 to 1999. F.C.E.N.
Courses where classes were dictated: Classical Electrodynamics (Theoretical Physics 1, Quantum Mechanics (Theoretical Physics 2), Classical Mechanics, Quantum Field Theory, String Theory, Courses in General Physics (Physics 1,2,3,4), Statistical Physics (Theoretical Physics 3).
Lectures for general public
More than 30 public lectures on topics related
with my areas of research delivered in the last four years, v.g. Theory
of relativity, Black holes and compact objects, Particles and string physics,
etc. See for instance here.
ATTENDANCE AND PARTICIPATIONS IN MEETINGS
Colloquia and seminars
1. G. Giribet, Strings in AdS_3 and Liouville theory, Group meeting seminar at the Institute for Advanced Stusy IAS, Princeton (2004).
2. G. Giribet, Four-point functions in AdS_3 and Liouville theory, String theory seminar at Massachusetts Institute of Thechnology MIT, Cambridge, Massachusetts (2004).
3. G. Giribet, Composite states in string theory: an holographic view, Latin American Workshop on Fundamental Interactions, Buenos Aires, Argentina (2004).
4. G. Giribet, String theory on AdS_3: from two-dimensional black hole, Universidad Autonoma de Madrid, Madrid, Espana (2003).
5. G. Giribet, Winding strings on AdS_3, Instituto Balseiro, Simposio Argentino de Fisica Teorica de Particulas y Campos, Centro Atomico Bariloche, Argentina (2003).
6. G. Giribet, Thermodynamics and 2+1D black holes, Instituto de Astronomia y Fisica del Espacio (IAFE), Buenos Aires (2000).
7. G. Giribet, Correlation functions in the Wess-Zumino-Witten model on SL(2,R), Departamento de Fisica de la Universidad de la Plata, La Plata (2000).
8. G. Giribet, String theory on AdS_3: the near boundary limit, VI Reunion Chilena de Altas Energias. Universidad Austral de Chile, Valdivia, Chile (2001).
9. G. Giribet, Correlators in AdS_3 string theory, RTN-Workshop on Conformal Invariance and Strings, Karlstad University, Anttila, Sweden (2001).
Attendance to international meetings
1. Spring School on Superstrings and Related Matters.
International Center for Theoretical Physics, ICTP, Trieste, Italy (1999)
2. Spring School on Superstrings and Related
Matters. International Center for Theoretical Physics, ICTP, Trieste, Italy
(2000)
3. Spring School on Superstrings and Related
Matters. International Center for Theoretical Physics, ICTP, Trieste, Italy
(2001)
4. Spring School on Superstrings and Related
Matters. International Center for Theoretical Physics, ICTP, Trieste, Italy
(2002)
5. Spring School on Superstrings and Related
Topics. International Center for Theoretical Physics, ICTP, Trieste, Italy
(2003)
6. Quantum Gravity in the Southern Cone III.
Centro de Estudios Cientificos, Valdivia, Chile (2002)
7. RTN-Workshop on Conformal symmetry and Strings,
Karlstad University, Anttila, Sweden (2001)
8. First Caribean String School & Latin American
School on Strings LASS1. La Habana, Cuba (1998)
9. 5th J.J. Giambiagi School of Physics, Precission
Cosmology. Universidad de Buenos Aires, Argentina (2003)
10. Trends in Theoretical Physics II, Adacemia
de Ciencias Exactas y Naturales & Universidad de La Plata, Argentina
(1998)
11. 6th Reunion Chilena de Fisica de Altas Energias.
Universidad Austral de Chile, Valdivia, Chile (2001)
12. 7th Symposium on Theoretical Physics of Particles
and Fields. Instituto Balseiro, Bariloche, Argentina (2003)
13. Latin American Strings School LASS2. Mexico
DF, Mexico (2000)
14. Sixth J.J. Giambiagi Winter Schoolon Particle
Physics. Buenos Aires, ARgentina, July (2004)
Local communications (in Argentina)
1. G. Giribet, Liouville theory in string theory, Segundo Encuentro Nacional de Álgebra elENA II, Vaquería, Córdoba (2004).
2. G. Giribet and C. Nunez, Interacciones y espectro de la teoria de cuerdas sobre AdS_3, San Miguel de Tucuman, AFA99 (1999).
3. G. Giribet and C. Nunez, Teoria de cuerdas sobre AdS_3, Buenos Aires, AFA2k (2000).
4. G. Giribet and C. Simeone, Cuantizacion con integral de caminos para modelos cosmologicos, Buenos Aires, AFA2k (2000).
5. G. Giribet and C. Simeone, Deparametrizacion e integral de caminos para modelos cosmologicos, Observatorio de La Plata, UNLP, ReBReG2000 (2000).
6. Attendance to several meetings of the Asociacion de Fisica Argentina AFA1996, AFA 1999, AFA2000.
7. G. Giribet, String theory in AdS_3. Participation in string@ar meeting I on High Energy Physics, Buenos Aires (2003).
8. G. Giribet, Topics in Liouville theory.
Participation in string@ar
meeting IX on High Energy Physics, La Plata (2004).
Didactical notes
1. G. Giribet, Una nota sobre el principio de incerteza entre tiempo y energía, in spanish: Nota para el curso de mecanica cuantica, FCEN-UBA (2003). Pensado para los alumnos del curso de Física Teórica II, Mecánica Cuántica de la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires, (2003) Ref
2. G. Giribet, A brief introduction to string cosmology, english version: Note for graduated students in physics with the intention to present a very simple introduction to homogeneous cosmological solutions in stringy low energy effective theories. Ref
3. Ejercicios de teoría cuántica de campos, para estudiantes de la materia de doctorado FCEN-UBA. Guía preparada para el curso del Prof. Mario Castagnino en el segundo cuatrimestre de 2001. Ref
4. Ejercicios de teoria de cuerdas, para estudiantes de la materia de doctorado FCEN-UBA, Fragmentos de la guía preparada para el curso de la Prof. Carmen Núñez en el segundo cuatrimestre de 2002. Ref
Brief articles, as hobbies
1. G. Giribet, Tres aforismos criticos sobre el punto esencial del realismo del tiempo en la epistemologia, Especulo 20, ISSN: 1139-3637, Universidad Complutense de Madrid (2002). Ref1
2. G. Giribet, Borges y la duda como elemento de quicio, Especulo 21, ISSN: 1139-3637, Universidad Complutense de Madrid (2002). Ref2
3. G. Giribet, Dos sentencias para la conformacion de una verdadera filosofia natural, Especulo 22, ISSN: 1139-3637, Universidad Complutense de Madrid (2002). Ref3
4. G. Giribet, De simbolos y demonios Especulo
23,
ISSN: 1139-3637, Universidad Complutense de Madrid (2002). Ref4
Related links
Instituto de Astronomía y Física del Espacio (IAFE)
University of Buenos Aires (UBA)
Physics Department, Buenos Aires University (DF-FCEN-UBA)
Mathematics Department, Buenos Aires University (DM-FCEN-UBA)
Los Alamos National Laboratory arXive e-Print
SPIRES, Slac, Stanford University HEP-server
IAFE-Book service, List of books of the Group of Relativity and Gravitation
(IAFE)