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Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries. (English) Zbl 1388.81227
Summary: 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.

##### MSC:
 81R12 Groups and algebras in quantum theory and relations with integrable systems
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