Notes on Supersymmetric Gauge Theories in Five and Six Dimensions

Ulf H. Danielsson, Gabriele Ferretti, Jussi Kalkkinen, Pär Stjernberg

Published 1997-03-13, updated 1997-04-01Version 3

We investigate consistency conditions for supersymmetric gauge theories in higher dimensions. First, we give a survey of Seiberg's necessary conditions for the existence of such theories with simple groups in five and six dimensions. We then make some comments on how theories in different dimensions are related. In particular, we discuss how the Landau pole can be avoided in theories that are not asymptotically free in four dimensions, and the mixing of tensor and vector multiplets in dimensional reduction from six dimensions.