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. Download PDF (599Kb) |
| 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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