Anomalous dimensions in deformed WZW models on supergroups

  • Constantin Candu
  • Vladimir MitevEmail author
  • Volker Schomerus
Open Access


We investigate a class of current-current, Gross-Neveu like, perturbations of WZW models in which the full left-right affine symmetry is broken to the diagonal global algebra only. Our analysis focuses on those supergroups for which such a perturbation preserves conformal invariance. A detailed calculation of the 2-point functions of affine primary operators to 3-loops is presented. Furthermore, we derive an exact formula for the anomalous dimensions of a large subset of fields to all orders in perturbation theory. Possible applications of our results, including the study of non-perturbative dualities, are outlined.


Sigma Models Conformal and W Symmetry 


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Copyright information

© SISSA 2013

Authors and Affiliations

  • Constantin Candu
    • 1
  • Vladimir Mitev
    • 2
    Email author
  • Volker Schomerus
    • 3
  1. 1.Institut für Theoretische PhysikZürichSwitzerland
  2. 2.Institut für Mathematik und Institut für Physik, Humboldt-Universität zu BerlinBerlinGermany
  3. 3.DESY Hamburg, Theory GroupHamburgGermany

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