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This article is cited in 1 scientific paper (total in 1 paper)
The theory of non-Abelian tensor fields: Gauge transformations and curvature
E. T. Akhmedovab a 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
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
Linking options:
https://www.mathnet.ru/eng/tmf2024https://doi.org/10.4213/tmf2024 https://www.mathnet.ru/eng/tmf/v147/i1/p73
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Abstract page: | 629 | Full-text PDF : | 358 | References: | 72 | First page: | 2 |
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