This article is cited in 2 papers

The theory of non-Abelian tensor fields: Gauge transformations and curvature

E. T. Akhmedov<sup>ab

a</sup> Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
^b Kawai Theoretical Physics Laboratory, RIKEN

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.

Received: 06.06.2005

DOI: 10.4213/tmf2024

 English version: Theoretical and Mathematical Physics, 2006, 147:1, 509–523

Bibliographic databases:

• 
• 
• 
• 
• 
•