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Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT

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arxiv 2106.08116 v2 pith:TYLMVCFX submitted 2021-06-15 hep-th

Charlotte Kristjansen , Dennis Müller , Konstantin Zarembo This is my paper · ORCID
classification hep-th
keywords overlapsbethechainspinboundarydcftintegrableqq-system
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The encoding of all possible sets of Bethe equations for a spin chain with SU(N|M) symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of Q-functions. We take a significant step towards deriving such a universal formula in the case of overlaps between Bethe eigenstates and integrable boundary states, of relevance for AdS/dCFT, by determining the transformation properties of the overlaps under fermionic as well as bosonic dualities which allows us to move between any two descriptions of the spin chain encoded in the QQ-system. An important part of our analysis involves introducing a suitable regularization for singular Bethe root configurations.

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Cited by 1 Pith paper

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  1. Monodromy defects in ABJM theory and integrability

    hep-th 2026-08 conditional novelty 6.0 of 10

    Monodromy defects in ABJM theory are integrable boundary states, and their leading one-point functions are given by a closed overlap formula.

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