Journal article
Superspace conformal field theory
T Quella, V Schomerus
Journal of Physics A Mathematical and Theoretical | Published : 2013
Abstract
Conformal sigma models and Wess-Zumino-Witten (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. © 2013 IOP Publishing Ltd.
Grants
Awarded by European Commission
Funding Acknowledgements
Much of the material presented in this review is based on joint work with a number of different collaborators. We would like to thank Constantin Candu, Thomas Creutzig, Gerhard Gotz, Vladimir Mitev, Peter Ronne and Hubert Saleur for many discussions and pleasant collaboration. Besides, we are indebted to the anonymous referees for providing extremely detailed feedback which helped improve our presentation. TQ is funded by the German Research Council (DFG) through M Zirnbauer's Leibniz Prize, DFG grant no ZI 513/2-1. Additional support is received from the DFG through the SFB vertical bar TR 12 'Symmetries and Universality in Mesoscopic Systems' and the Center of Excellence 'Quantum Matter and Materials'. The research of VS is supported in part by the SFB 676 'Particles, Strings, and the Early Universe' and the Marie Curie network GATIS (gatis.desy.eu) of the European Union's Seventh Framework Programme FP7/2007-2013/ under REA grant agreement no 317089.