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

Snadden, John, Ridout, David and Wood, Simon ORCID: https://orcid.org/0000-0002-8257-0378 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

Full text not available from this repository.

Abstract

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
URI:	https://orca.cardiff.ac.uk/id/eprint/111614

Citation Data

Cited 15 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item