Integrable sigma models and perturbed coset models

2001/01/05 by Paul Fendley · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/05/050

published as JHEP 0105:050,2001 · 39 pages, 6 figures

arxiv created 2001/01/05 · openalex publication_date 2001/05/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

Sigma models arise frequently in particle physics and condensed-matter physics as low-energy effective theories. In this paper I compute the exact free energy at any temperature in two hierarchies of integrable sigma models in two dimensions. These theories, the SU(N)/SO(N) and O(2P)/O(P) x O(P) models, are asymptotically free and exhibit charge fractionalization. When the instanton coupling theta=pi, they flow to the SU(N)₁ and O(2P)₁ conformal field theories, respectively. I also generalize the free energy computation to massive and massless perturbations of the coset conformal field theories SU(N)_k/SO(N)_2k and O(2P)_k/O(P)_k x O(P)_k.

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