Extended Baxter relations and QQ-systems for quantum affine algebras

Autor:	Frenkel, Edward, Hernandez, David
Rok vydání:	2023
Předmět:	Mathematics - Quantum Algebra Condensed Matter - Statistical Mechanics High Energy Physics - Theory Mathematics - Representation Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	Generalized Baxter's TQ-relations and the QQ-system are systems of algebraic relations in the category O of representations of the Borel subalgebra of the quantum affine algebra U_q(g^), which we established in our earlier works arXiv:1308.3444 and arXiv:1606.05301. In the present paper, we conjecture a family of analogous relations labeled by elements of the Weyl group W of g, so that the original relations correspond to the identity element. These relations are closely connected to the W-symmetry of q-characters established in arXiv:2211.09779. We prove these relations for all w in W if g has rank two, and we prove the extended TQ-relations if w is a simple reflection. We also generalize our results and conjectures to the shifted quantum affine algebras. Comment: 42 pages, v3: more details added, accepted for publication in Communications in Math. Phys
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.13256 Zobrazit plný text záznamu View this record from Arxiv