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