| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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Boundary Conditions for NHEK through Effective Action Approach |
| CHEN Bin,NING Bo**,ZHANG Jia-Ju |
| Department of Physics, and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 |
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| Cite this article: |
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CHEN Bin, NING Bo, ZHANG Jia-Ju 2012 Chin. Phys. Lett. 29 041101 |
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Abstract We study the asymptotic symmetry group (ASG) of the near horizon geometry of extreme Kerr black hole through the effective action approach developed by Porfyriadis and Wilczek (arXiv:1007.1031v1[gr-qc]). By requiring a finite boundary effective action, we derive a new set of asymptotic Killing vectors and boundary conditions, which are much more relaxed than the ones proposed by Matsuo Y et al. [Nucl. Phys. B 825 (2010) 231], and still allow a copy of a conformal group as its ASG. In the covariant formalism, the asymptotic charges are finite, with the corresponding central charge vanishing. By using the quasi-local charge and introducing a plausible cut-off, we find that the higher order terms of the asymptotic Killing vectors, which could not be determined through the effective action approach, contribute to the central charge as well. We also show that the boundary conditions suggested by Guica et al. [Phys. Rev. D 80 (2009) 124008] lead to a divergent first-order boundary effective action.
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Received: 22 October 2011
Published: 04 April 2012
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| PACS: |
11.25.Tq
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(Gauge/string duality)
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04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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| [1] Guica M, Hartman T, Song W and Strominger A 2009 Phys. Rev. D 80 124008[2] Brown J D and Henneaux M 1986 Commun. Math. Phys. 104 207[3] Matsuo Y, Tsukioka T and Yoo C M 2010 Nucl. Phys. B 825 231[4] Castro A and Larsen F 2009 J. High Engergy Phys. 0912 037[5] Matsuo Y, Tsukioka T and Yoo C M 2010 Europhys. Lett. 89 60001[6] Matsuo Y and Nishioka T 2010 J. High Energy Phys. 1012 073[7] Porfyriadis A P and Wilczek F 2010 arXiv:1007.1031v1[gr-qc][8] Barnich G and Brandt F 2002 Nucl. Phys. B 633 3[9] Barnich G and Compere G 2008 J. Math. Phys. 49 042901[10] Brown J D and York J W 1993 Phys. Rev. D 47 1407 |
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