Gravity Dual for Hofman-Strominger Theorem

TL;DR

This paper establishes a gravity-based framework demonstrating that in (1+1) dimensions, chiral scale invariance leads to chiral conformal invariance, with null energy conditions ensuring symmetry enhancement and exploring holographic c-functions.

Contribution

It provides a gravity dual to the Hofman-Strominger theorem, linking null energy conditions to symmetry enhancement in holographic models.

Findings

Null energy condition guarantees symmetry enhancement.

Holographic c-function can decrease along RG flow.

Gravity dual confirms chiral scale invariance implies chiral conformal invariance.

Abstract

We provide a gravity counterpart of the theorem by Hofman and Strominger that in (1+1) dimension, chiral scale invariance indicates chiral conformal invariance. We show that the strict null energy condition gives a sufficient condition to guarantee the symmetry enhancement. We also investigate a possibility to construct holographic c-function that decreases along the holographic renormalization group flow.