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An admissible level osp (1|2)-model: modular transformations and the Verlinde formula

Snadden, John, Ridout, David and Wood, Simon ORCID: 2018. An admissible level osp (1|2)-model: modular transformations and the Verlinde formula. Letters in Mathematical Physics 108 (11) , pp. 2363-2423. 10.1007/s11005-018-1097-5

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The modular properties of the simple vertex operator superalgebra associated with the affine Kac–Moody superalgebraosp(1|2) at level −5 4 are investigated. After classifying the relaxed highest-weight modules over this vertex operator superalgebra, the characters and supercharacters of the simple weight modules are computed and their modular transforms are determined. This leads to a complete list of the Grothendieck fusion rules by way of a continuous superalgebraic analog of the Verlinde formula. All Grothendieck fusion coefficients are observed to be non-negative integers. These results indicate that the extension to general admissible levels will follow using the same methodology once the classification of relaxed highest-weight modules is completed.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Springer Verlag (Germany)
ISSN: 0377-9017
Date of First Compliant Deposit: 21 May 2018
Date of Acceptance: 1 May 2018
Last Modified: 23 Oct 2022 13:45

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