Young supertableaux and the large N = 4 superconformal algebra

Fearn, S

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: Oct 15, 2020
• 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
• Public URL: https://durham-repository.worktribe.com/output/1292804
• Related Public URLs: https://arxiv.org/abs/1804.09987