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:

Abstract: We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov’s c-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by cR = 24k and cL = 0, respectively, being k the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS3 boundary conditions. © 2015, The Author(s).

Registro:

Documento: Artículo
Título:From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
Autor:del Pino, S.; Giribet, G.; Toloza, A.; Zanelli, J.
Filiación:Instituto de Fısica, Facultad de Ciencias, Pontificia Universidad Católica de Valparaıso, Av. Universidad 330, Curauma, Valpara´ıso, Chile
Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, Bruxelles, B-1050, Belgium
Departamento de F´ısica, Universidad de Buenos Aires and IFIBA-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Centro de Estudios Cient´ıficos CECs, Arturo Prat 514, Valdivia, Chile
Palabras clave:AdS-CFT Correspondence; ChernSimons Theories; Field Theories in Lower Dimensions
Año:2015
Volumen:2015
Número:6
DOI: http://dx.doi.org/10.1007/JHEP06(2015)113
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_v2015_n6_p_delPino

Referencias:

  • E. Witten, Three-Dimensional Gravity Revisited, []; Gaberdiel, M.R., Constraints on extremal self-dual CFTs (2007) JHEP, 11, p. 087. , [arXiv:0707.4073] [INSPIRE
  • D. Gaiotto, Monster symmetry and Extremal CFTs, []; Maloney, A., Witten, E., Quantum Gravity Partition Functions in Three Dimensions (2010) JHEP, 2, p. 029. , [arXiv:0712.0155] [INSPIRE
  • Li, W., Song, W., Strominger, A., Chiral Gravity in Three Dimensions (2008) JHEP, 4, p. 082. , [arXiv:0801.4566] [INSPIRE
  • Deser, S.S., Jackiw, R., Templeton, S., Three-Dimensional Massive Gauge Theories (1982) Phys. Rev. Lett., 48, p. 975. , [INSPIRE
  • S.S. Deser, R. Jackiw and S. Templeton, Topologically Massive Gauge Theories, Annals Phys.140 (1982) 372 [AnnalsPhys.281 (2000) 409] [Annals Phys.185 (1988) 406] []; A. Strominger, A Simple Proof of the Chiral Gravity Conjecture, []; Carlip, S., Deser, S.S., Waldron, A., Wise, D.K., Topologically Massive AdS Gravity (2008) Phys. Lett., B 666, p. 272. , [arXiv:0807.0486] [INSPIRE
  • Grumiller, D., Johansson, N., Instability in cosmological topologically massive gravity at the chiral point (2008) JHEP, 7, p. 134. , [arXiv:0805.2610] [INSPIRE
  • Grumiller, D., Johansson, N., Consistent boundary conditions for cosmological topologically massive gravity at the chiral point (2009) Int. J. Mod. Phys., D 17, p. 2367. , [arXiv:0808.2575] [INSPIRE
  • Giribet, G.E., Kleban, M., Porrati, M., Topologically Massive Gravity at the Chiral Point is Not Chiral (2008) JHEP, 10, p. 045. , [arXiv:0807.4703] [INSPIRE
  • Henneaux, M., Mart´ınez, C., Troncoso, R., Asymptotically anti-de Sitter spacetimes in topologically massive gravity (2009) Phys. Rev., D 79, p. 081502. , [arXiv:0901.2874] [INSPIRE
  • Henneaux, M., Mart´ınez, C., Troncoso, R., More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity (2010) Phys. Rev., D 82, p. 064038. , [arXiv:1006.0273] [INSPIRE
  • Garbarz, A., Giribet, G.E., Vásquez, Y., Asymptotically AdS<inf>3</inf> Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants (2009) Phys. Rev., D 79, p. 044036. , [arXiv:0811.4464] [INSPIRE
  • Maloney, A., Song, W., Strominger, A., Chiral Gravity, Log Gravity and Extremal CFT (2010) Phys. Rev., D 81, p. 064007. , [arXiv:0903.4573] [INSPIRE
  • Compère, G., de Buyl, S., Detournay, S., Non-Einstein geometries in Chiral Gravity (2010) JHEP, 10, p. 042. , [arXiv:1006.3099] [INSPIRE
  • Alvarez, P.D., Pais, P., Rodr´ıguez, E., Salgado-ReboLledó, P., Zanelli, J., The BTZ black hole as a Lorentz-flat geometry (2014) Phys. Lett., B 738, p. 134. , [arXiv:1405.6657] [INSPIRE
  • Mielke, E.W., Baekler, P., Topological gauge model of gravity with torsion (1991) Phys. Lett., A 156, p. 399. , [INSPIRE
  • Santamaria, R.C., Edelstein, J.D., Garbarz, A., Giribet, G.E., On the addition of torsion to chiral gravity (2011) Phys. Rev., D 83, p. 124032. , [arXiv:1102.4649] [INSPIRE
  • Henneaux, M., Teitelboim, C., Quantization of Gauge Systems (1992) Princeton University Press, pp. 42-43
  • E. Ayón-Beato and M. Hassa¨ıne, Exploring AdS waves via nonminimal coupling, Phys. Rev.D 73 (2006) 104001 [] []; Bañados, M., Teitelboim, C., Zanelli, J., The Black hole in three-dimensional space-time (1992) Phys. Rev. Lett., 69, p. 1849. , [hep-th/9204099] [INSPIRE
  • Bañados, M., Henneaux, M., Teitelboim, C., Zanelli, J., Geometry of the (2 + 1) black hole (1993) Phys. Rev., D 48, p. 1506. , [gr-qc/9302012] [INSPIRE
  • M. Henneaux, C. Mart´ınez, R. Troncoso and J. Zanelli, Black holes and asymptotics of 2 + 1 gravity coupled to a scalar field, Phys. Rev.D 65 (2002) 104007 [] []; Mart´ınez, C., Troncoso, R., Zanelli, J., de Sitter black hole with a conformally coupled scalar field in four-dimensions (2003) Phys. Rev., D 67, p. 024008. , [hep-th/0205319] [INSPIRE
  • Mart´ınez, C., Troncoso, R., Zanelli, J., Exact black hole solution with a minimally coupled scalar field (2004) Phys. Rev., D 70, p. 084035. , [hep-th/0406111] [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, p. 207. , [INSPIRE
  • J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999)1113[Adv. Theor. Math. Phys.2 (1998) 231] [] []; A.B. Zamolodchikov, Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory, JETP Lett.43 (1986)730 [Pisma Zh. Eksp. Teor. Fiz.43 (1986) 565] []; H. González, P. Pais, P. Salgado and J. Zanelli, Asymptotic symmetries in Lorentz-Chern-Simons theory, in preparation; Strominger, A., Black hole entropy from near horizon microstates (1998) JHEP, 2, p. 009. , [hep-th/9712251] [INSPIRE

Citas:

---------- APA ----------
del Pino, S., Giribet, G., Toloza, A. & Zanelli, J. (2015) . From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions. Journal of High Energy Physics, 2015(6).
http://dx.doi.org/10.1007/JHEP06(2015)113
---------- CHICAGO ----------
del Pino, S., Giribet, G., Toloza, A., Zanelli, J. "From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions" . Journal of High Energy Physics 2015, no. 6 (2015).
http://dx.doi.org/10.1007/JHEP06(2015)113
---------- MLA ----------
del Pino, S., Giribet, G., Toloza, A., Zanelli, J. "From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions" . Journal of High Energy Physics, vol. 2015, no. 6, 2015.
http://dx.doi.org/10.1007/JHEP06(2015)113
---------- VANCOUVER ----------
del Pino, S., Giribet, G., Toloza, A., Zanelli, J. From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions. J. High Energy Phys. 2015;2015(6).
http://dx.doi.org/10.1007/JHEP06(2015)113