Fusion Rules for ŝl ( 2 | 1 ; C ) at Fractional Level

Abstract

We calculate fusion rules for the admissible representations of the superalgebra ŝl(2|1;C)k at fractional level k = −1/2 in the Ramond sector. By representing 3point 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.

Cite this paper

@inproceedings{Johnstone2001FusionRF, title={Fusion Rules for ŝl ( 2 | 1 ; C ) at Fractional Level}, author={Gavin Johnstone}, year={2001} }