Work

Representations of untwisted loop N = 2 superconformal algebras

Year: 2025

Type: article

Abstract: In this paper, we construct a class of non-weight modules of untwisted loop N = 2 superconformal algebras R , which are the loop version of the modules defined in [30] and [4] . Denote h ± = C L 0 , 0 ⊕ C G 0 , 0 ± . We give a classification of R -modules such that when considered as modules of U ( h ± ) they are free of rank 1. A sufficient and necessary condition for such modules to be simple is provided. Moreover, we determine the isomorphism classes of these modules. At last, by using the weighting functor, we derive the intermediate series modules from these non-weight R -modules.

Source: Journal of Geometry and Physics

DOI: 10.1016/j.geomphys.2025.105498

Authors: Yongliang Wang, Haibo Chen, Yucai Su

Institution: Jimei University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: National Natural Science Foundation of China, Natural Science Foundation of Fujian Province