Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries
Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen-Li Yang,, Kangjie Shi, Yupeng Wang
TL;DR
This paper derives the exact eigenvalues of an integrable open-chain transfer matrix in an AdS/CFT context with non-diagonal boundary conditions, using Bethe ansatz techniques.
Contribution
It provides the Bethe ansatz solution for an open spin chain with non-diagonal boundary conditions in AdS/CFT, extending previous models with diagonal boundaries.
Findings
Exact eigenvalues expressed via Bethe equations
Handles non-diagonal boundary conditions in integrable models
Advances understanding of boundary effects in AdS/CFT integrability
Abstract
We consider the integrable open-chain transfer matrix corresponding to a Y=0 brane at one boundary, and a Y_theta=0 brane (rotated with the respect to the former by an angle theta) at the other boundary. We determine the exact eigenvalues of this transfer matrix in terms of solutions of a corresponding set of Bethe equations.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons