Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2
High Energy Physics - Theory
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0105321,
title = {Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2},
author = {Gavin Johnstone},
journal= {arXiv preprint arXiv:hep-th/0105321},
year = {2007}
}
Comments
LaTeX, 18 pages; references added