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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 1, Pages 73–91
DOI: https://doi.org/10.4213/tmf2024 (Mi tmf2024) 		 
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
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DOI: https://doi.org/10.4213/tmf2024
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
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 1, Pages 509–523
DOI: https://doi.org/10.1007/s11232-006-0058-9
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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