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Supertranslations and Holographic Stress Tensor

Virmani, A. (2012). Supertranslations and Holographic Stress Tensor. Journal of High Energy Physics, (2): 024. doi:10.1007/JHEP02(2012)024.

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1112.2146 (Preprint), 311KB
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Creators:
Virmani, Amitabh1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract: It is well known in the context of four dimensional asymptotically flat spacetimes that the leading order boundary metric must be conformal to unit de Sitter metric when hyperbolic cutoffs are used. This situation is very different from asymptotically AdS settings where one is allowed to choose an arbitrary boundary metric. The closest one can come to changing the boundary metric in the asymptotically flat context, while maintaining the group of asymptotic symmetries to be Poincare, is to change the so-called `supertranslation frame' \omega. The most studied choice corresponds to taking \omega = 0. In this paper we study consequences of making alternative choices. We perform this analysis in the covariant phase space approach as well as in the holographic renormalization approach. We show that all choices for \omega are allowed in the sense that the covariant phase space is well defined irrespective of how we choose to fix supertranslations. The on-shell action and the leading order boundary stress tensor are insensitive to the supertranslation frame. The next to leading order boundary stress tensor depends on the supertranslation frame but only in a way that the transformation of angular momentum under translations continues to hold as in special relativity.

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Dates: 2011-12-092012
Publication Status: Published in print
Pages: 32 pages, no figures, LaTeX file
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1112.2146
URI: http://arxiv.org/abs/1112.2146
DOI: 10.1007/JHEP02(2012)024
Degree: -

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### Source 1

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Title: Journal of High Energy Physics
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: (2) Sequence Number: 024 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002_1