Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2

Authors: Simon Ekhammar, Dmytro Volin

Preprint number: UUITP-44/21

Abstract: We propose a procedure to derive quantum spectral curves of AdS/CFT type by requiring that a specially designed analytic continuation around the branch point results in an automorphism of the underlying algebraic structure. In this way we derive four new systems. Two are based on SU(2|2) symmetry, and we show that one of them describes Hubbard model. Two more are based on SU(2|2)xSU(2|2). In the special subcase of PSU(1,1|2)xPSU(1,1|2) we get the unique nontrivial option and hence it is a natural candidate for the quantum spectral curve for AdS3/CFT2 integrability for AdS3xS3xS3xT4 background supported by RR-flux.