Super Virasoro Algebras From Chiral Supergravity

TL;DR

This paper constructs super Virasoro algebras with central extensions from chiral supergravity incorporating Lorentz Chern-Simons terms, using Wald's formalism and analyzing the AdS3/CFT2 correspondence.

Contribution

It introduces a method to derive super Virasoro algebras from chiral supergravity with Lorentz Chern-Simons terms, considering local Lorentz transformations.

Findings

Super Virasoro algebras with central extensions are constructed.

The asymptotic symmetry group is analyzed with local Lorentz transformations.

The approach links chiral supergravity to the AdS3/CFT2 correspondence.

Abstract

In this note, we construct Noether charges for the chiral supergravity, which contains the Lorentz Chern-Simons term, by applying Wald's prescription to the vielbein formalism. We investigate the AdS3/CFT2 correspondence by using the vielbein formalism. The asymptotic symmetry group is carefully examined by taking into account the local Lorentz transformation, and we construct super Virasoro algebras with central extensions from the chiral supergravity.