SciPost logo

SciPost Submission Page

Field Theory of Interacting Boundary Gravitons

by Stephen Ebert, Eliot Hijano, Per Kraus, Ruben Monten, Richard M. Myers

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Stephen Ebert · Per Kraus · Ruben Monten
Submission information
Preprint Link:  (pdf)
Date accepted: 2022-08-08
Date submitted: 2022-07-27 06:32
Submitted by: Monten, Ruben
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


Pure three-dimensional gravity is a renormalizable theory with two free parameters labelled by $G$ and $\Lambda$. As a consequence, correlation functions of the boundary stress tensor in AdS$_3$ are uniquely fixed in terms of one dimensionless parameter, which is the central charge of the Virasoro algebra. The same argument implies that AdS$_3$ gravity at a finite radial cutoff is a renormalizable theory, but now with one additional parameter corresponding to the cutoff location. This theory is conjecturally dual to a $T\overline{T}$-deformed CFT, assuming that such theories actually exist. To elucidate this, we study the quantum theory of boundary gravitons living on a cutoff planar boundary and the associated correlation functions of the boundary stress tensor. We compute stress tensor correlation functions to two-loop order ($G$ being the loop counting parameter), extending existing tree level results. This is made feasible by the fact that the boundary graviton action simplifies greatly upon making a judicious field redefinition, turning into the Nambu-Goto action. After imposing Lorentz invariance, the correlators at this order are found to be unambiguous up to a single undetermined renormalization parameter.

List of changes

- We added comments and clarifications to address the referees' remarks,
- added references,
- and fixed typos.

Published as SciPost Phys. 13, 038 (2022)

Login to report or comment