Boundary Yang-Baxter equation in the RSOS/SOS representation

C. Ahn; W. M. Koo

doi:10.1016/0550-3213(96)00160-5

Boundary Yang-Baxter equation in the RSOS/SOS representation

C. Ahn
, W. M. Koo

Department of Physics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1+1 )-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations.

Original language	English
Pages (from-to)	461-486
Number of pages	26
Journal	Nuclear Physics, Section B
Volume	468
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(96)00160-5
State	Published - 3 Jun 1996

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abstract = "We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1+1 )-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations.",

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N2 - We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1+1 )-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations.

AB - We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1+1 )-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations.

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U2 - 10.1016/0550-3213(96)00160-5

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SP - 461

EP - 486

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

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ER -

Boundary Yang-Baxter equation in the RSOS/SOS representation

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