Holography in 3D AdS gravity with torsion

TL;DR

This paper explores the AdS/CFT correspondence within 3D gravity models that include torsion, deriving holographic energy-momentum and spin currents, and establishing associated Ward identities.

Contribution

It introduces a new approach to formulating Noether--Ward identities in 3D gravity with torsion, applied to both topological and propagating torsion models.

Findings

Finite holographic energy-momentum and spin currents obtained

Derived anomalous Noether--Ward identities for boundary theory

Applied method to models with topological and propagating torsion

Abstract

Basic aspects of the AdS/CFT correspondence are studied in the framework of 3-dimensional gravity with torsion. After choosing a consistent holographic ansatz, we formulate an improved approach to the Noether--Ward identities for the boundary theory. The method is applied first to the topological Mielke--Baekler model, and then to the more interesting (parity-preserving) 3-dimensional gravity with propagating torsion. In both cases, we find the finite holographic energy-momentum and spin currents and obtain the associated (anomalous) Noether--Ward identities.