Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We revisit the description of the space of asymptotically AdS3 solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of metrics related by diffeomorphisms which do not approach the identity fast enough at the boundary. Orbits contain more than a single element and this fact manifests the global degrees of freedom of AdS3 gravity, being each element of an orbit what we call boundary graviton. We show how this setup allows to learn features about the classical phase space that otherwise would be quite difficult. Most important are the proof of energy bounds and the characterization of boundary gravitons unrelated to BTZs and AdS3. In addition, it makes manifest the underlying mathematical structure of the space of solutions close to infinity. Notably, because of the existence of a symplectic form in each orbit, being this related with the usual Dirac bracket of the asymptotic charges, this approach is a natural starting point for the quantization of different sectors of AdS3 gravity. We finally discuss previous attempts to quantize coadjoint orbits of the Virasoro group and how this is relevant for the formulation of AdS3 quantum gravity. © 2014 The Authors.

Registro:

Documento: Artículo
Título:Classification of boundary gravitons in AdS3 gravity
Autor:Garbarz, A.; Leston, M.
Filiación:Instituto de Física de La Plata (IFLP), CONICET & Departamento de Física, Universidad Nacional de la Plata, C.C. 67, La Plata, 1900, Argentina
Instituto de Astronomía y Física del Espacio, Pabellón IAFE-CONICET, Ciudad Universitaria, C.C. 67 Suc. 28, Buenos Aires, Argentina
Palabras clave:Black Holes; Global Symmetries; Models of Quantum Gravity; Space-Time Symmetries
Año:2014
Volumen:2014
Número:5
DOI: http://dx.doi.org/10.1007/JHEP05(2014)141
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n5_p_Garbarz

Referencias:

  • Maloney, A., Witten, E., Quantum Gravity Partition Functions in Three Dimensions (2010) JHEP, 2, 29p. , [arXiv:0712.0155] [INSPIRE]
  • Brown, J.D., Henneaux, M., Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity (1986) Commun.Math. Phys, 104, 207p. , [INSPIRE]
  • Witten, E., Coadjoint Orbits of the Virasoro Group (1988) Commun. Math. Phys, 114, 1p. , [INSPIRE]
  • Kirillov, A.A., Lectures on the orbit method. Graduate studies in mathematics (2004) American Mathematical Society, 64
  • Castro, A., Hartman, T., Maloney, A., The Gravitational Exclusion Principle and Null States in Anti-de Sitter Space (2011) Class. Quant. Grav, 28. , [arXiv:1107.5098] [INSPIRE]
  • Bañados, M., Teitelboim, C., Zanelli, J., The Black hole in three-dimensional space-time (1992) Phys. Rev. Lett, 69, 1849p. , [hep-th/9204099] [INSPIRE]
  • Bañados, M., Henneaux, M., Teitelboim, C., Zanelli, J., Geometry of the (2+1) black hole (1993) Phys. Rev. D, 48, 1506p. , [gr-qc/9302012] [INSPIRE]
  • Nakatsu, T., Umetsu, H., Yokoi, N., Three-dimensional black holes and Liouville field theory (1999) Prog. Theor. Phys, 102, 867p. , [hep-th/9903259] [INSPIRE]
  • Navarro-Salas, J., Navarro, P., Virasoro orbits, AdS3 quantum gravity and entropy (1999) JHEP, 5, 9p. , [hep-th/9903248] [INSPIRE]
  • Woodhouse, N., (1992) Geometric Quantization, , Second edition, Oxford Mathematical Monographs, Oxford Science Publications, The Clarendon Press, Oxford University Press
  • Guieu, L., Roger, C., L’algèbre et le groupe de Virasoro, aspects géométriques et algébriques, généralisations (2006) Les Publications CRM Montréal
  • Balog, J., Feher, L., Palla, L., Coadjoint orbits of the Virasoro algebra and the global Liouville equation (1998) Int. J. Mod. Phys. A, 13, 315p. , [hep-th/9703045] [INSPIRE]
  • Li, C., Lucietti, J., Three-Dimensional Black Holes and Descendants, , arXiv:1312.2626 [INSPIRE]
  • Skenderis, K., Lecture notes on holographic renormalization (2002) Class. Quant. Grav, 19, 5849p. , [hep-th/0209067] [INSPIRE]
  • Navarro-Salas, J., Navarro, P., A Note on Einstein gravity on AdS3 and boundary conformal field theory (1998) Phys. Lett. B, 439, 262p. , [hep-th/9807019] [INSPIRE]
  • Bañados, M., Three-Dimensional Quantum Geometry and Black Holes, , hep-th/9901148 [INSPIRE]
  • Maldacena, J.M., The Large-N limit of superconformal field theories and supergravity (1998) Adv. Theor. Math. Phys, 2, 231p. , [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE]
  • Balasubramanian, V., Kraus, P., A Stress tensor for Anti-de Sitter gravity (1999) Commun. Math. Phys, 208, 413p. , [hep-th/9902121] [INSPIRE]
  • Schottenloher, M., A mathematical introduction to conformal field theory, Second edition (2008) Lect. Notes Phys, 759. , Springer, Heidelberg Berlin, Germany
  • Scarinci, C., Krasnov, K., The universal phase space of AdS3 gravity (2013) Commun. Math. Phys, 322, 167p. , [arXiv:1111.6507] [INSPIRE]
  • Barnich, G., Oblak, B., Holographic Positive Energy Theorems in Three-Dimensional Gravity, , arXiv:1403.3835 [INSPIRE]
  • Mišković, O., Zanelli, J., On the negative spectrum of the 2+1 black hole (2009) Phys.Rev. D, 79. , [arXiv:0904.0475] [INSPIRE]
  • Kunduri, H.K., Lucietti, J., Classification of near-horizon geometries of extremal black holes (2013) Living Rev. Rel, 16, 8p. , [arXiv:1306.2517] [INSPIRE]
  • Echeverria-Enriquez, A., Muñoz-Lecanda, M.C., Roman-Roy, N., Victoria-Monge, C., Mathematical foundations of geometric quantization (1998) Extracta Math, 13, 135p. , [math-ph/9904008] [INSPIRE]
  • Kirillov, A.A., Yur’Ev, D.V., Kähler geometry of the infinite-dimensional homogeneous space M =Diff+(S1)/Rot(S1) (1987) Func. Anal. Appl, 21, 284p
  • Goodman, R., Wallach, N.R., Projective unitary positive-energy representations of Diff(S1) (1985) J. Funct. Anal, 63, 299p
  • Salmasian, H., Neeb, K.-H., Classification of Positive Energy Representations of the Virasoro Group, , arXiv:1402.6572 [INSPIRE]

Citas:

---------- APA ----------
Garbarz, A. & Leston, M. (2014) . Classification of boundary gravitons in AdS3 gravity. Journal of High Energy Physics, 2014(5).
http://dx.doi.org/10.1007/JHEP05(2014)141
---------- CHICAGO ----------
Garbarz, A., Leston, M. "Classification of boundary gravitons in AdS3 gravity" . Journal of High Energy Physics 2014, no. 5 (2014).
http://dx.doi.org/10.1007/JHEP05(2014)141
---------- MLA ----------
Garbarz, A., Leston, M. "Classification of boundary gravitons in AdS3 gravity" . Journal of High Energy Physics, vol. 2014, no. 5, 2014.
http://dx.doi.org/10.1007/JHEP05(2014)141
---------- VANCOUVER ----------
Garbarz, A., Leston, M. Classification of boundary gravitons in AdS3 gravity. J. High Energy Phys. 2014;2014(5).
http://dx.doi.org/10.1007/JHEP05(2014)141