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Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2

Gavin Johnstone
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Abstract

We calculate fusion rules for the admissible representations of the affine superalgebra sl(2|1;C) at fractional level k=-1/2 in the Ramond sector. By representing 3-point correlation functions involving a singular vector as the action of differential operators on the sl(2|1;C) invariant 3-point function, we obtain conditions on permitted quantum numbers involved. We find that in this case the primary fields close under fusion.

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Gavin Johnstone. 2001-06-05. Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2. https://arxiv.org/abs/hep-th/0105321

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