Superspace Parafermions

Abstract

We describe several families of non-unitary coset conformal field theories that possess truly marginal couplings. These generalize the known examples of Wess-Zumino-Witten models on supergroups such as PSU(n|n) or OSP(2n+2|2n). Our extension includes coset space sigma models, affine Toda theories or Gross-Neveu models which are believed to arise in certain limits.

4 pages

References in corpus (5)

• The Sigma Model on Complex Projective Superspaces
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• Principal Chiral Model on Superspheres
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum

Cited by in corpus (6)

• Superspace conformal field theory
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• On the Spectrum of Superspheres
• Anomalous Dimensions in Deformed WZW Models on Supergroups
• Spectra of Coset Sigma Models
• High-Gradient Operators in the psl(2|2) Gross-Neveu Model