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Simple current extensions and permutation orbifolds in string theory

arXiv:1108.0551 · doi:10.1016/j.nuclphysbps.2011.05.004

Abstract

We review extensions by integer spin simple currents in two-dimensional conformal field theories and their applications in string theory. In particular, we study the problem of resolving the fixed points of a simple current and apply the formalism to the permutation orbifold. In terms of string compactifications, we construct permutations of N=2 minimal models and use them as building blocks in heterotic Gepner models.

5 pages, 4 figures, extended version of the Proceedings of the Cargese Summer School 2010 "Formal Developments and Applications"