Super Weyl Anomalies in the AdS/CFT Correspondence

TL;DR

This paper computes super Weyl anomalies in 2D superconformal field theories using AdS/CFT, confirming expected central charges and identifying which symmetries are anomalous.

Contribution

It provides the first detailed calculation of super Weyl anomalies in N=(4,4) superconformal theories via AdS/CFT, clarifying anomaly structure.

Findings

Weyl, axial gauge, and super Weyl transformations are anomalous.

General coordinate, local Lorentz, vector gauge, and local super transformations are anomaly-free.

Anomaly coefficients match the expected central charge from AdS/CFT.

Abstract

Anomalies of N = (4,4) superconformal field theories coupled to a conformal supergravity background in two dimensions are computed by using the AdS/CFT correspondence. We find that Weyl, axial gauge and super Weyl transformations are anomalous, while general coordinate, local Lorentz, vector gauge and local super transformations are not. The coefficients of the anomalies show that the superconformal field theories have the central charge expected in the AdS/CFT correspondence.