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

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

1995-12-12

arxiv.org/abs/hep-th/9512085v3

Phys.Lett. B376 (1996) 90-96

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(96)00295-X

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 $O(3)$ Gross-Neveu model from the boundary supersymmetric sine-Gordon theory by using boson-fermion duality.

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