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Transfer matrices for AdS3/CFT2

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abstract

We work out the algebraic Bethe ansatz for the worldsheet theory of the $AdS_3\times S^3\times T^4$ superstring, and use it to derive the transfer matrices for fundamental particles and bound states of the string and mirror model. We also show how the Bethe equations and transfer matrices are modified in the presence of an Abelian twist. These will be an important ingredient in the exploration of the mirror thermodynamic Bethe ansatz equations recently proposed by Frolov and Sfondrini, and their generalisation to twisted and deformed models.

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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 19 · 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.