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Young supertableaux and the large N = 4 superconformal algebra

Fearn, S

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Abstract

In this paper we consider representations of the ‘Large’ N = 4 superconformal algebra A in the Ramond sector as infinite-dimensional graded modules of its zero mode subalgebra, which we show to be the finite superalgebra su(2j2). We describe how representations of su(2j2) may be classified using Young supertableaux, and use the decomposition of A as an su(2j2) module to discuss the states which contribute to a supersymmetric index suitable for A previously proposed in the literature. 1

Citation

Fearn, S. (2019). Young supertableaux and the large N = 4 superconformal algebra. Physica Scripta, 94(12), Article 125222. https://doi.org/10.1088/1402-4896/ab3b29

Journal Article Type Article
Acceptance Date Aug 14, 2019
Online Publication Date Oct 15, 2019
Publication Date Dec 31, 2019
Deposit Date Jul 8, 2019
Publicly Available Date Mar 29, 2024
Journal Physica Scripta
Print ISSN 0031-8949
Electronic ISSN 1402-4896
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 94
Issue 12
Article Number 125222
DOI https://doi.org/10.1088/1402-4896/ab3b29
Related Public URLs https://arxiv.org/abs/1804.09987

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