Abelian vectors and self-dual tensors in six-dimensional supergravity

Abstract

In this note we describe the most general coupling of abelian vector and tensor multiplets to six-dimensional (1,0) supergravity. As was recently pointed out, it is of interest to consider more general Chern-Simons couplings to abelian vectors of the type H r=dB r−1/2 c rabA adA b , with c r matrices that may not be simultaneously diagonalized. We show that these couplings can be related to Green-Schwarz terms of the form B r c r ab F a F b , and how the complete local Lagrangian, that embodies factorized gauge and supersymmetry anomalies (to be disposed of by fermion loops) is uniquely determined by Wess-Zumino consistency conditions, aside from an arbitrary quartic coupling for the gauginos.