Higher-Rank Supersymmetric Models and Topological Field Theory

Details Higher-Rank Supersymmetric Models and Topological Field Theory Higher-Rank Supersymmetric Models and Topological Field Theory

1992-06-30

arxiv.org/abs/hep-th/9206110v1

Nucl.Phys. B393 (1993) 225-260

Physics

High Energy Physics

High Energy Physics - Theory

39 pages (harvmac unreduced, figures included), KEK-TH-336, KEK preprint 92-42, (unix shell archive files)

Scientific paper

10.1016/0550-3213(93)90244-J

In the first part of this paper we investigate the operator aspect of higher-rank supersymmetric model which is introduced as a Lie theoretic extension of the $N=2$ minimal model with the simplest case $su(2)$ corresponding to the $N=2$ minimal model. In particular we identify the analogs of chirality conditions and chiral ring. In the second part we construct a class of topological conformal field theories starting with this higher-rank supersymmetric model. We show the BRST-exactness of the twisted stress-energy tensor, find out physical observables and discuss how to make their correlation functions. It is emphasized that in the case of $su(2)$ the topological field theory constructed in this paper is distinct from the one obtained by twisting the $N=2$ minimal model through the usual procedure.

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