N=2 Supersymmetry and Bailey Pairs

Details N=2 Supersymmetry and Bailey Pairs N=2 Supersymmetry and Bailey Pairs

1995-12-21

arxiv.org/abs/hep-th/9512182v1

Physica A228 (1996) 33

Physics

High Energy Physics

High Energy Physics - Theory

32 pages in harvmac, no figures

Scientific paper

We demonstrate that the Bailey pair formulation of Rogers-Ramanujan identities unifies the calculations of the characters of $N=1$ and $N=2$ supersymmetric conformal field theories with the counterpart theory with no supersymmetry. We illustrate this construction for the $M(3,4)$ (Ising) model where the Bailey pairs have been given by Slater. We then present the general unitary case. We demonstrate that the model $M(p,p+1)$ is derived from $M(p-1,p)$ by a Bailey renormalization flow and conclude by obtaining the $N=1$ model $SM(p,p+2)$ and the unitary $N=2$ model with central charge $c=3(1-2/p).$

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