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Boundary Bethe ansatz in massless AdS3

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arxiv 2408.15674 v2 pith:6WCK7CY4 submitted 2024-08-28 hep-th

Daniele Bielli (Chulalongkorn University) , Vasileios Moustakis (University of Surrey) , Alessandro Torrielli (University of Surrey) This is my paper
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keywords betheansatzads3algebraicboundarymasslessobtainaction
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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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  1. Boundary Bethe ansatz in massive $AdS_3$

    hep-th 2025-06 conditional novelty 6.0 of 10

    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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