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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 24 pages, clarification of invariants found, to appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(99)00823-8

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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