Abstract:
We take one more step in formulating the theory of non-Abelian two-tensor fields: we find gauge transformation rules and the curvature tensor for them. To define the theory, we use the surface exponential. We derive a differential equation for the exponential and attempt to formulate its definition as a matrix model. We discuss applications of our construction to the Yang–Baxter equation for integrable models and to string field theory.
Keywords:
quantum field theory, non-Abelian tensor fields.
Citation:
E. T. Akhmedov, “The theory of non-Abelian tensor fields: Gauge transformations and curvature”, TMF, 147:1 (2006), 73–91; Theoret. and Math. Phys., 147:1 (2006), 509–523