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Representations of infinite-dimensional algebras and conformal field theory: FromN = 2 to\(\widehat{sl}\)(2|1)(2|1)

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Abstract

We review several constructions that are realized in bosonic and N = 2 strings and which relate the affine Lie algebra\(\widehat{sl}\)(2), affine superalgebra\(\widehat{sl}\)(2|1), and the superconformal N = 2 algebra.

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Authors and Affiliations

  1. Tamm Theory Department, Lebedev Physics Institute, Russian Academy of Sciences, Moscow, Russia

    A. M. Semikhatov

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  1. A. M. Semikhatov
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This paper was written at the request of the Editorial Board.

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 112, No. 2, pp. 195–240, August, 1997.

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Semikhatov, A.M. Representations of infinite-dimensional algebras and conformal field theory: FromN = 2 to\(\widehat{sl}\)(2|1)(2|1). Theor Math Phys 112, 949–987 (1997). https://doi.org/10.1007/BF02634156

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  • DOI: https://doi.org/10.1007/BF02634156

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