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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 240–248
DOI: https://doi.org/10.4213/tmf6165 (Mi tmf6165) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Toward a vertex operator construction of quantum affine algebras

S. E. Klevtsovab

a M. V. Lomonosov Moscow State University
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
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DOI: https://doi.org/10.4213/tmf6165
Abstract: We describe a construction of the quantum-deformed affine algebras using vertex operators in the free field theory. We prove the Serre relations for the Borel subalgebras of quantum affine algebras; in particular, we consider the $\widehat{sl}_2$ case in detail. We also construct the generators corresponding to the positive roots of $\widehat{sl}_2$.
Keywords: quantum group, quantum affine algebra, free field theory, minimal model, Serre relations.
Received: 16.01.2006
Revised: 08.08.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 201–208
DOI: https://doi.org/10.1007/s11232-008-0019-6
Bibliographic databases:
Language: Russian
Citation: S. E. Klevtsov, “Toward a vertex operator construction of quantum affine algebras”, TMF, 154:2 (2008), 240–248; Theoret. and Math. Phys., 154:2 (2008), 201–208
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
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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