A note on R-currents and trace anomalies in the (2,0) tensor multiplet in d=6 and AdS/CFT correspondence

TL;DR

This paper examines R-current correlation functions in the six-dimensional (2,0) tensor multiplet using AdS/CFT and free field methods, revealing consistent results and connections to trace anomalies.

Contribution

It demonstrates the agreement between AdS/CFT and free field calculations for R-current correlators in d=6 (2,0) theory, highlighting the 4N^3 factor and linking to trace anomalies.

Findings

AdS/CFT and free field results match up to a 4N^3 factor.

Correlation functions are consistent with previous energy-momentum tensor studies.

Results have implications for understanding trace anomalies in six-dimensional theories.

Abstract

We discuss the two- and three-point functions of the SO(5) R-current of the (2,0) tensor multiplet in d=6, using AdS/CFT correspondence as well as a free field realization. The results obtained via AdS/CFT correspondence coincide with the ones from a free field calculation up to an overall 4N^3 factor. This is the same factor found recently in studies of the two- and three-point functions of the energy momentum tensor in the (2,0) theory. We also connect our results to the trace anomaly in d=6 in the presence of external vector fields and briefly discuss their implications.