{ "id": "2109.06164", "version": "v1", "published": "2021-09-13T17:58:44.000Z", "updated": "2021-09-13T17:58:44.000Z", "title": "Mondromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2", "authors": [ "Simon Ekhammar", "Dmytro Volin" ], "comment": "32 pages", "categories": [ "math-ph", "hep-th", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2021-09-13T17:58:44.000Z" } ], "analyses": { "keywords": [ "hubbard model", "mondromy bootstrap", "unique nontrivial option", "branch point results", "derive quantum spectral curves" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }