Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
High Energy Physics - Theory
2023-02-22 v2
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.
Keywords
Cite
@article{arxiv.2106.08116,
title = {Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT},
author = {Charlotte Kristjansen and Dennis Müller and Konstantin Zarembo},
journal= {arXiv preprint arXiv:2106.08116},
year = {2023}
}
Comments
28 pages, 3 figures; v2: minor changes