Exact solution of the supersymmetric sinh-Gordon model with boundary

Changrim Ahn, Rafael I. Nepomechie

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16 Scopus citations

Abstract

The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In particular, we derive an exact inversion identity and the corresponding thermodynamic Bethe ansatz equations. We also compute the boundary entropy, and find a rich pattern of boundary roaming trajectories corresponding to c<3/2 superconformal models.

Original languageEnglish
Pages (from-to)611-640
Number of pages30
JournalNuclear Physics, Section B
Volume586
Issue number3
DOIs
StatePublished - 23 Oct 2000

Bibliographical note

Funding Information:
We thank O. Alvarez, D. Bernard, E. Corrigan, G. Delius, P. Dorey, P. Fendley, M. Martins and H. Saleur for helpful comments and/or correspondence. One of us (R.N.) is grateful for the hospitality at the APCTP in Seoul (where this work was initiated) and at the CRM in Montreal (where the results were first reported). This work was supported in part by KOSEF 1999-2-112-001-5 (C.A.) and by the National Science Foundation under Grant PHY-9870101 (R.N.).

Keywords

  • 05.50.+q
  • 11.10.Kk
  • 11.25.Hf
  • 11.30.Pb
  • 11.55.Ds
  • Bethe ansatz
  • Boundary S -matrix
  • Duality
  • Integrable spin chain
  • Sinh-Gordon model
  • Supersymmetry

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