Strings with extended non-Abelian gauge interaction

Abstract

Abstract:The new generalization of the gauge interaction for the bosonic strings is found. We consider some quasi-equivariant maps from the space of metrics on the worldsheet to the space of n-tuples of one-and two-dimensional loops. The two-dimensional case is based on the cylinders interacted with a path space connection. The special 2-gauge string model is formulated using two 1-connections, nonabelian background symmetric tensor field and nonabelian 2-form. The branched nonabelian space-time is the result of our construction.