A theory of reparameterizations for AdS3 gravity

Cotler, Jordan; Jensen, Kristan

doi:10.1007/jhep02(2019)079

Title: A theory of reparameterizations for AdS₃ gravity

Journal Article · Wed Feb 13 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2019)079· OSTI ID:1612016

Cotler, Jordan ^[1]; Jensen, Kristan ^[2]

Stanford Univ., CA (United States)
San Francisco State Univ., CA (United States)

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.

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Research Organization:: San Francisco State Univ., CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013682

OSTI ID:: 1612016

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 105 works

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Title: A theory of reparameterizations for AdS₃ gravity