Consistent boundary conditions for cosmological topologically massive gravity at the chiral point

TL;DR

The paper addresses cosmological topologically massive gravity at the chiral point, where the left central charge vanishes, and investigates whether boundary conditions beyond Brown-Henneaux can be consistently imposed. It introduces a set of relaxed boundary conditions that permit logarithmic behavior corresponding to the logarithmic primary and its descendants, and shows these conditions are preserved by a broader class of diffeomorphisms while retaining the same asymptotic symmetry structure. It also derives a finite, conserved boundary stress tensor and charges, demonstrating the consistency and physical relevance of the generalized boundary conditions. The findings broaden the AdS3 holographic landscape for CTMG at the chiral point and connect to logarithmic CFT behavior.

Abstract

We show that cosmological topologically massive gravity at the chiral point allows not only Brown-Henneaux boundary conditions as consistent boundary conditions, but slightly more general ones which encompass the logarithmic primary found in 0805.2610 as well as all its descendants.