New "Gauge" theories in six dimensions

Abstract

More general constructions are given of six-dimensional theories that look at low energy like six-dimensional super Yang-Mills theory. The constructions start with either parallel fivebranes in Type IIB, or M-theory on (C2 × S1)/Γ for Γ a suitable finite group. Via these constructions, one can obtain six-dimensional theories with any simple gauge group, and SU(r) theories with any rational theta angle. A matrix construction of these theories is also possible.