关于frt型量子顶点代数的两族

IF 2.6 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-08-01 DOI:10.1007/s00220-025-05402-6

Lucia Bagnoli, Marijana Butorac, Slaven Kožić

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引用次数: 0

摘要

我们考虑了与八顶点模型的A型三角r矩阵和椭圆r矩阵相关联的两个新的量子顶点代数族。我们证明了他们的\(\phi \) -协调表示理论是由所谓的frt算子控制的，h-绝对限制算子满足frt关系，并证明了这一结果的一些应用。最后，在椭圆情况下，我们研究了与相应量子顶点代数相关的量子行列式的性质。

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On Two Families of Quantum Vertex Algebras of FRT-Type

We consider two new families of quantum vertex algebras which are associated with the type A trigonometric R-matrix and elliptic R-matrix of the eight-vertex model. We show that their \(\phi \)-coordinated representation theory is governed by the so-called FRT-operator, h-adically restricted operator satisfying the FRT-relation, and we demonstrate some applications of this result. Finally, in the elliptic case, we investigate the properties of the quantum determinant associated with the corresponding quantum vertex algebra.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.