Work

Free field realization of the Ding-Iohara algebra at general levels

Year: 2026

Type: article

Abstract: A bstract We present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of the structure function in the defining relations of the algebra. Based on this construction, we then develop intertwining operators for the Ding-Iohara algebra.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep03(2026)132

Authors: Zitao Chen, Xiang-Mao Ding

Institutions: Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, Chinese Academy of Sciences

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G6642462314