Modular Transformations and Invariants in the Context of Fractional Level Affine sl(2|1;C)

The modular transformation properties of admissible characters of the affine superalgebra sl(2|1;C) at fractional level k=1/u-1, u=2,3,... are presented. All modular invariants for u=2 and u=3 are calculated explicitly and an A-series and D-series of modular invariants emerge.

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Veröffentlicht in:arXiv.org 2000-01
1. Verfasser: Johnstone, Gavin
Format: Artikel
Sprache:eng
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Zusammenfassung:The modular transformation properties of admissible characters of the affine superalgebra sl(2|1;C) at fractional level k=1/u-1, u=2,3,... are presented. All modular invariants for u=2 and u=3 are calculated explicitly and an A-series and D-series of modular invariants emerge.
ISSN:2331-8422
DOI:10.48550/arxiv.9909067