Journal article
Conformal superspace σ-models
V Mitev, T Quella, V Schomerus
Journal of Geometry and Physics | ELSEVIER | Published : 2011
Abstract
We review recent developments in the context of two-dimensional conformally invariant σ-models. These quantum field theories play a prominent role in the covariant superstring quantization in flux backgrounds and in the analysis of disordered systems.We present supergroup WZW models as primary examples of logarithmic conformal field theories, whose structure is almost entirely determined by the underlying supergeometry. In particular, we discuss the harmonic analysis on supergroups and supercosets and point out the subtleties of Lie superalgebra representation theory that are responsible for the emergence of logarithmic representations. Furthermore, special types of marginal deformations of ..
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Awarded by European Commission
Funding Acknowledgements
TO is very grateful for the opportunity to present this work at the Lorentz Workshop "The Interface of Integrability and Quantization" and for the stimulating discussions with the other participants. The research of TQ was partially funded by a Marie Curie Intra-European Fellowship, contract number MEIF-CT-2007-041765. We furthermore acknowledge partial support from the EU Research Training Network Superstring theory, MRTN-CT-2004-512194 and from ForcesUniverse, MRTN-CT-2004-005104.