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Boundary Bethe ansatz in massless AdS3

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abstract

We construct the boundary algebraic Bethe Ansatz for the AdS3 X S3 X T4 integrable reflection problem restricted to the massless sector. We derive the double-row monodromy and find the appropriate formulation of the dual equation of Sklyanin's. We perform the algebraic Bethe ansatz and obtain the RTT (more properly the RTRT) relations, from which the spectrum is obtained by repeated action of the B operator on the pseudovacuum. We obtain the Bethe equations by cancelling the unwanted terms, and prove the exact formulae for any number of quantum particles and magnonic excitations.

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Boundary Bethe ansatz in massive $AdS_3$

hep-th · 2025-06-25 · conditional · novelty 6.0

The authors derive universal auxiliary Bethe equations and transfer-matrix eigenvalues for massive representations of the AdS3xS3xT4 integrable string with singlet and vector boundaries.

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  • Boundary Bethe ansatz in massive $AdS_3$ hep-th · 2025-06-25 · conditional · none · ref 26 · internal anchor

    The authors derive universal auxiliary Bethe equations and transfer-matrix eigenvalues for massive representations of the AdS3xS3xT4 integrable string with singlet and vector boundaries.