A theory of reparameterizations for AdS3 gravity
Abstract We rewrite the Chern-Simons description of pure gravity on global AdS3 and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of) the path integral quantization of a certain coadjoint orbit of the Virasoro group, and it should be...
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Online Access: | http://link.springer.com/article/10.1007/JHEP02(2019)079 |
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doaj-b2b9d868cb3c462b99af1581f6e27b782020-11-25T00:29:27ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019217310.1007/JHEP02(2019)079A theory of reparameterizations for AdS3 gravityJordan Cotler0Kristan Jensen1Stanford Institute for Theoretical Physics, Stanford UniversityDepartment of Physics and Astronomy, San Francisco State UniversityAbstract We rewrite the Chern-Simons description of pure gravity on global AdS3 and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of) the path integral quantization of a certain coadjoint orbit of the Virasoro group, and it should be regarded as the quantum field theory of the boundary gravitons. This theory respects all of the conformal field theory axioms except one: it is not modular invariant. The coupling constant is 1/c with c the central charge, and perturbation theory in 1/c encodes loop contributions in the gravity dual. The QFT is a theory of reparametrizations analogous to the Schwarzian description of nearly AdS2 gravity, and has several features including: (i) it is ultraviolet-complete; (ii) the torus partition function is the vacuum Virasoro character, which is one-loop exact by a localization argument; (iii) it reduces to the Schwarzian theory upon compactification; (iv) it provides a powerful new tool for computing Virasoro blocks at large c via a diagrammatic expansion. We use the theory to compute several observables to one-loop order in the bulk, including the “heavy-light” limit of the identity block. We also work out some generalizations of this theory, including the boundary theory which describes fluctuations around two-sided eternal black holes.http://link.springer.com/article/10.1007/JHEP02(2019)079AdS-CFT CorrespondenceConformal and W SymmetryConformal Field Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jordan Cotler Kristan Jensen |
spellingShingle |
Jordan Cotler Kristan Jensen A theory of reparameterizations for AdS3 gravity Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
author_facet |
Jordan Cotler Kristan Jensen |
author_sort |
Jordan Cotler |
title |
A theory of reparameterizations for AdS3 gravity |
title_short |
A theory of reparameterizations for AdS3 gravity |
title_full |
A theory of reparameterizations for AdS3 gravity |
title_fullStr |
A theory of reparameterizations for AdS3 gravity |
title_full_unstemmed |
A theory of reparameterizations for AdS3 gravity |
title_sort |
theory of reparameterizations for ads3 gravity |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-02-01 |
description |
Abstract We rewrite the Chern-Simons description of pure gravity on global AdS3 and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of) the path integral quantization of a certain coadjoint orbit of the Virasoro group, and it should be regarded as the quantum field theory of the boundary gravitons. This theory respects all of the conformal field theory axioms except one: it is not modular invariant. The coupling constant is 1/c with c the central charge, and perturbation theory in 1/c encodes loop contributions in the gravity dual. The QFT is a theory of reparametrizations analogous to the Schwarzian description of nearly AdS2 gravity, and has several features including: (i) it is ultraviolet-complete; (ii) the torus partition function is the vacuum Virasoro character, which is one-loop exact by a localization argument; (iii) it reduces to the Schwarzian theory upon compactification; (iv) it provides a powerful new tool for computing Virasoro blocks at large c via a diagrammatic expansion. We use the theory to compute several observables to one-loop order in the bulk, including the “heavy-light” limit of the identity block. We also work out some generalizations of this theory, including the boundary theory which describes fluctuations around two-sided eternal black holes. |
topic |
AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
url |
http://link.springer.com/article/10.1007/JHEP02(2019)079 |
work_keys_str_mv |
AT jordancotler atheoryofreparameterizationsforads3gravity AT kristanjensen atheoryofreparameterizationsforads3gravity AT jordancotler theoryofreparameterizationsforads3gravity AT kristanjensen theoryofreparameterizationsforads3gravity |
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