ANOMALY-FREE TENSOR-YANG-MILLS SYSTEM AND ITS DUAL FORMULATION

We consider the (1,0) supersymmetric Yang-Mills multiplet coupled to a self-dual tensor multiplet in six dimensions. It is shown that the co unterterm required to cancel the one-loop gauge anomaly modifies the c lassical equations of motion previously obtained by Bergshoeff, Sezgin and Sokatchev (BSS). We discuss the supermultiplet structure of the a nomalies exhibited in the resulting equations of motion. The anomaly c orrected field equations agree with the global limit, recently obtaine d by Duff, Liu, Lu and Pope, of a matter coupled supergravity theory i n six dimensions. We also obtain the dual formulation of the BSS model in which the tensor multiplet is free while the field equations of th e Yang-Mills multiplet contain the fields of the tensor multiplet at t he classical level. (C) 1998 Elsevier Science B.V. All rights reserved .