On the supermultiplet of anomalous currents in d=6

TL;DR

This paper derives the supermultiplet of anomalous currents in six-dimensional (1,0) superconformal theories, exploring its structure, extension to (2,0) cases, and implications for AdS7/CFT6 correspondence.

Contribution

It provides the explicit form of the supermultiplet of anomalies in 6D (1,0) theories and discusses extensions and applications related to (2,0) theories and holography.

Findings

Derived the supermultiplet of anomalous currents in 6D (1,0) theories.

Extended analysis to (2,0) theories and their anomalies.

Discussed implications for AdS7/CFT6 correspondence.

Abstract

The multiplet of superconformal anomalous currents in the case $(1,0)$, $d=6$ is derived. The supersymmetric multiplet of anomalies contains the trace of the energy momentum tensor, the gamma trace of the supercurrent and some topological vector current with divergence equal to the $R$-current anomaly. The extension of this consideration to the $(2,0)$ case and some application and motivation coming from $AdS_{7}/CFT_{6}$ correspondence is discussed.