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MathPhys Odyssey 2001 pp 391–413Cite as

Birkhäuser

Integrable Boundaries and Universal TBA Functional Equations

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Part of the book series: Progress in Mathematical Physics ((PMP,volume 23))

Abstract

We derive the fusion hierarchy of functional equations for critical A-D-E lattice models related to the sℓ (2) unitary minimal models, the parafermionic models and the supersymmetric models of conformal field theory and deduce the related TBA functional equations. The derivation uses fusion projectors and applies in the presence of all known integrable boundary conditions on the torus and cylinder. The resulting TBA functional equations are universal in the sense that they depend only on the Coxeter number of the A-D-E graph and are independent of the particular integrable boundary conditions. We conjecture generally that TBA functional equations are universal for all integrable lattice models associated with rational CFTs and their integrable perturbations.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria, 3010, Australia

    C. H. Otto Chui, Christian Mercat & Paul A. Pearce

Authors
  1. C. H. Otto Chui
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  2. Christian Mercat
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  3. Paul A. Pearce
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Editor information

Editors and Affiliations

  1. RIMS, Kyoto University, Kyoto, 606-8502, Japan

    Masaki Kashiwara

  2. Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan

    Tetsuji Miwa

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Otto Chui, C.H., Mercat, C., Pearce, P.A. (2002). Integrable Boundaries and Universal TBA Functional Equations. In: Kashiwara, M., Miwa, T. (eds) MathPhys Odyssey 2001. Progress in Mathematical Physics, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0087-1_14

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  • DOI: https://doi.org/10.1007/978-1-4612-0087-1_14

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6605-1

  • Online ISBN: 978-1-4612-0087-1

  • eBook Packages: Springer Book Archive

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