A theory of reparameterizations for AdS3 gravity

By Jordan S. Cotler, K. Jensen. Journal of High Energy Physics, 2018

146 citations recorded by the source corpus.

A bstractWe 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2f6a614d664c3a374bf2fef7c5ad3279b4904066

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Stanford
2. S. Shenker
3. Phil Saad
4. L. Susskind
5. J. Maldacena
6. D. Harlow
7. R. Myers
8. Eric Perlmutter

In Nuclear and High Energy Physics

1. D. Stanford
2. Phil Saad
3. S. Shenker
4. J. Maldacena
5. L. Susskind
6. Jordan S. Cotler
7. D. Harlow
8. K. Jensen

In Statistical and Nonlinear Physics

1. Phil Saad
2. D. Stanford
3. S. Shenker
4. Jordan S. Cotler
5. K. Jensen
6. G. Turiaci
7. J. Maldacena
8. E. Witten

Citations in the corpus

• JT gravity as a matrix integral (2019, methodology): “The problem can be fixed [23, 91, 92, 90] by following the steps [93] used to impose the asymptotic boundary conditions for AdS3 [94] in the Chern-Simons formulation [95, 96] (see also [97, 98] for recent 3d discussion).”