Duality in deformed coset fermionic models

Abstract

We study the $SU(2{)}_k/U(1)$-parafermion model perturbed by its first thermal operator. By formulating the theory in terms of a (perturbed) fermionic coset model we show that the model is equivalent to interacting WZW fields modulo free fields. In this scheme, the order and disorder operators of the $Z_k$ parafermion theory are constructed as gauge invariant composites. We find that the theory presents a duality symmetry that interchanges the roles of the spin and dual spin operators. For two particular values of the coupling constant we find that the theory recovers conformal invariance and the gauge symmetry is enlarged. We also find a novel self-dual point.

13 pages, LaTex. Minor corrections. One reference added. Version to appear in Nuc. Phys. B

References in corpus (3)

• Conservation Laws and Geometry of Perturbed Coset Models
• Deformed Coset Models From Gauged WZW Actions
• Duality in Complex sine-Gordon Theory

Cited by in corpus (6)

• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Non-Abelian fractional quantum Hall states and chiral coset conformal field theories
• Non-perturbative effective field theory for two-leg antiferromagnetic spin ladders
• Twisting perturbed parafermions
• Quasiparticle operators with non-Abelian braiding statistics
• Spinons and parafermions in fermion cosets