Integrable highest weight modules over affine superalgebras and Appell's function

Victor G. Kac; Minoru Wakimoto

doi:10.1007/s002200000315

Integrable highest weight modules over affine superalgebras and Appell's function

数学物理 2014-01-17 v1 math.MP

作者: Victor G. Kac , Minoru Wakimoto

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摘要

We classify integrable irreducible highest weight representations of non-twisted affine Lie superalgebras. We give a free field construction in the level~1 case. The analysis of this construction shows, in particular, that in the simplest case of the $s\ell (2|1)$ level~1 affine superalgebra the characters are expressed in terms of the Appell elliptic function. Our results demonstrate that the representation theory of affine Lie superalgebras is quite different from that of affine Lie algebras.

关键词

lie algebras and representations

引用

@article{arxiv.math-ph/0006007,
  title  = {Integrable highest weight modules over affine superalgebras and Appell's function},
  author = {Victor G. Kac and Minoru Wakimoto},
  journal= {arXiv preprint arXiv:math-ph/0006007},
  year   = {2014}
}

备注

54 pages

Integrable highest weight modules over affine superalgebras and Appell's function

摘要

关键词

引用

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