Q-power function over Q-commuting variables and deformed XXX, XXZ chains
S. Khoroshkin, A. Stolin, V. Tolstoy
Abstract
We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum affine algebra Uq (sl2) and of the Yangian Y(sl2). We determine the corresponding deformed trigonometric and rational quantum R-matrices, which then are used in the computation of deformed XXX and XXZ Hamiltonians.
Create a lesson
Related papers
An Explicit Construction of Commuting Quantum KdV Hamiltonians in the Universal Virasoro Vertex Algebra
Hongbo Zhao
Vertex Operator Algebras in Lean: a formal library and its companion book
Fedor K. Popov, Leonardo Rastelli
Uniform localization and boundary corrections for two-node quiver Coulomb branches
Xiaomin Tang
Property F and weak integrality of braided fusion categories
Enyu Li, Yuze Ruan
From the quantum group Uq1/2( sl2 ) to the Kronecker quantum cluster algebra
Junyuan Huang, Xueqing Chen, Ming Ding et al.
C2-Cofiniteness of Permutation Orbifolds I: Relative C1 Descent
Yuhan Gu, Jiancai Sun