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.

14 pages, LaTeX209, needs bezier.sty. Contribution to the proceedings of the 30th Int. Symposium Ahrenshoop on the theory of elementary particles, Buckow, Germany, August 27--31, 1996

References in corpus (6)

• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• d\leq1\bigcup d\geq25$andConstrainedKPHierarchyfromBRSTInvarianceinthe$c\neq3$ Topological Algebra
• The MFF Singular Vectors in Topological Conformal Theories
• Superstrings from Hamiltonian Reduction
• Singular Vectors of the Topological Conformal Algebra
• The Non-Critical N=2 String is an sl(2|1) Theory

Cited by in corpus (1)

• N=2 superconformal blocks and instanton partition functions