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- W4300709929 abstract "The modular properties of characters of representations of a family of W-superalgebras extending the affine Lie superalgebra of gl(1|1) are considered. Modules fall into two classes, the generic type and the non-generic one. Characters of non-generic modules are expressed in terms of higher-level Appell-Lerch sums. We compute the modular transformations of characters and interpret the Mordell integral as an integral over characters of generic representations. The C-span of a finite number of non-generic characters together with an uncountable set of characters of the generic type combine into a representation of SL(2;Z). The modular transformations are then used to define a product on the space of characters. The fusion rules of the extended algebras are partially inherited from the known fusion rules for modules of the affine Lie superalgebra of gl(1|1). Moreover, the product obtained from the modular transformations coincides with the product of the Grothendieck ring of characters if and only if the fusion multiplicities are at most one." @default.
- W4300709929 created "2022-10-04" @default.
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- W4300709929 creator A5089933457 @default.
- W4300709929 date "2012-05-07" @default.
- W4300709929 modified "2023-10-16" @default.
- W4300709929 title "The Mock Modular Data of a Family of Superalgebras" @default.
- W4300709929 doi "https://doi.org/10.48550/arxiv.1205.1518" @default.
- W4300709929 hasPublicationYear "2012" @default.
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