SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects

2003/09/30 by Zoltán Bajnok, Z. Bajnok, Clare Dunning +6 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2003.11.036

published as Nucl.Phys. B679 (2004) 521-544 · 26 pages, 9 eps and 1 pstex figures. v2: References added

arxiv created 2003/10/13 · openalex publication_date 2003/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider SUSY sine-Gordon theory in the framework of perturbed conformal field theory. Using an argument from Zamolodchikov, we obtain the vacuum structure and the kink adjacency diagram of the theory, which is cross-checked against the exact S matrix prediction, first-order perturbed conformal field theory (PCFT), the NLIE method and truncated conformal space approach. We provide evidence for consistency between the usual Lagrangian description and PCFT on the one hand, and between PCFT, NLIE and a massgap formula conjectured by Baseilhac and Fateev, on the other. In addition, we extend the NLIE description to all the vacua of the theory.

Citations

• Dynkin TBA's
• The anomaly in the central charge of the supersymmetric kink from dimensional regularization and reduction

Cited by

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• Excited state nonlinear integral equations for an integrable anisotropic spin-1 chain
• Defects and degeneracies in supersymmetry protected phases