On the Equivalence of Affine sl(2) and N=2 Superconformal Representation Theories

Details On the Equivalence of Affine sl(2) and N=2 Superconformal Representation Theories On the Equivalence of Affine sl(2) and N=2 Superconformal Representation Theories

1997-02-09

arxiv.org/abs/hep-th/9702074v1

Nucl.Phys.Proc.Suppl. 56B (1997) 215-228

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX209, needs bezier.sty. Contribution to the proceedings of the 30th Int. Symposium Ahrenshoop on the theory of e

Scientific paper

10.1016/S0920-5632(97)00329-0

There exist two different languages, the ^sl(2) and N=2 ones, to describe similar structures; a dictionary is given translating the key representation-theoretic terms related to the two algebras. The main tool to describe the structure of ^sl(2) and N=2 modules is provided by diagrams of extremal vectors. The ^sl(2) and N=2 representation theories of certain highest-weight types turn out to be equivalent modulo the respective spectral flows.

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