Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices

Details Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices

2009-11-29

arxiv.org/abs/0911.5494v3

Physics

High Energy Physics

High Energy Physics - Theory

27 pages; v2: minor change; v3: references added

Scientific paper

We consider an open spin chain model with GL(N) bulk symmetry that is broken to GL(M) x GL(N-M) by the boundary, which is a generalization of a model arising in string/gauge theory. We prove the integrability of this model by constructing the corresponding commuting transfer matrix. This construction uses operator-valued "projected" K-matrices. We solve this model for general values of N and M using the nested algebraic Bethe ansatz approach, despite the fact that the K-matrices are not diagonal. The key to obtaining this solution is an identity based on a certain factorization property of the reduced K-matrices into products of R-matrices. Numerical evidence suggests that the solution is complete.

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