4.4 Article

Factorization identities and algebraic Bethe ansatz for D2(2) models

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP03(2021)089

Keywords

Bethe Ansatz; Lattice Integrable Models

Funding

  1. [404]
  2. [18/EPSRC/3590]

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This study solves D-2((2)) transfer matrices by factorization identities and algebraic Bethe ansatz, for both closed and open spin chains. It also formulates and solves a new integrable XXZ-like open spin chain with an even number of sites depending on a continuous parameter, interpreted as the rapidity of the boundary.
We express D-2((2)) transfer matrices as products of A(1)((1)) transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ansatz. We also formulate and solve a new integrable XXZ-like open spin chain with an even number of sites that depends on a continuous parameter, which we interpret as the rapidity of the boundary.

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