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Superspace conformal field theory

arXiv:1307.7724 · doi:10.1088/1751-8113/46/49/494010

Abstract

Conformal sigma models and WZW models on coset superspaces provide important examples of logarithmic conformal field theories. They possess many applications to problems in string and condensed matter theory. We review recent results and developments, including the general construction of WZW models on type I supergroups, the classification of conformal sigma models and their embedding into string theory.

50 pages; one table; several figures; Invited Review for a Special Edition of Journal of Physics A on Logarithmic Conformal Field Theory; v2: Included more explicit reference to superconformal Lie algebras