English

Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality

High Energy Physics - Theory 2014-11-18 v3 Condensed Matter

Abstract

Construction of integrable field theories in space with a boundary is extended to fermionic models. We obtain general forms of boundary interactions consistent with integrability of the massive Thirring model and study the duality equivalence of the MT model and the sine-Gordon model with boundary terms. We find a variety of integrable boundary interactions in the O(3)O(3) Gross-Neveu model from the boundary supersymmetric sine-Gordon theory by using boson-fermion duality.

Keywords

Cite

@article{arxiv.hep-th/9512085,
  title  = {Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality},
  author = {Takeo Inami and Hitoshi Konno and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:hep-th/9512085},
  year   = {2014}
}

Comments

Latex 10 pages, some comments and 5 references added. To appear in Phys. Lett. B