Holographic Currents and Chern-Simons Terms

TL;DR

This paper derives holographic currents and Ward identities within gravity/gauge duality, incorporating string loop corrections, and applies the framework to N=2 supergravity dual to a superconformal field theory.

Contribution

It presents a consistent derivation of holographic currents, including string loop effects, and applies the method to a specific supergravity and superconformal field theory pair.

Findings

Holographic energy-momentum tensor and R-current are improved to satisfy Ward identities.

String loop corrections affect trace and R-symmetry anomalies.

Application to N=2 supergravity and SU(N)xSU(N) superconformal field theory.

Abstract

Holographic currents and their associated Ward identities are derived in the framework of gravity/gauge duality. Holographic improvements of the energy-momentum tensor and R-symmetry current which are consistent with the Ward identities are displayed. The effects of specific string loop corrections to the bulk action are included as four derivative effective lagrangian terms and their contributions to the trace and R-symmetry anomalies of the boundary theory are determined. As an example, the construction is applied to the N=2 conformal supergravity which is taken to be dual to a boundary SU(N)xSU(N), N=1 superconformal field theory.