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

Abstract

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.

arXiv comment28 pages, 3 figures; v2: minor changes

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Cited by in corpus (4)

• Crosscap States in Integrable Field Theories and Spin Chains
• On exact overlaps for $\mathfrak{gl}(N)$ symmetric spin chains
• String integrability of the ABJM defect
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains