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Young supertableaux and the large N = 4 superconformal algebra.

Fearn, S. (2019) 'Young supertableaux and the large N = 4 superconformal algebra.', Physica scripta., 94 (12). p. 125222.

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

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1088/1402-4896/ab3b29
Publisher statement:The deposited manuscript is available under a CC BY-NC-ND 3.0 licence.
Date accepted:14 August 2019
Date deposited:14 August 2019
Date of first online publication:15 October 2019
Date first made open access:15 October 2020

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