Modular linear differential equations of fourth order and minimal W-algebras

JOURNAL OF ALGEBRA

卷:506

Article

Kawasetsu, Kazuya^1,2  Sakai, Yuichi^1,2 

[1] Univ Melbourne, Sch Math & Stat, Melbourne, Vic 3010, Australia

[2] Kyushu Univ, Multiple Zeta Res Ctr, Nishi Ku, 744 Motooka, Fukuoka, Fukuoka 8190395, Japan

关键词: Modular linear differential equations;    Modular forms;    Vertex operator algebras;    Minimal W-algebras;    Deligne exceptional series;    Modular invariance of characters;   

DOI  :  10.1016/j.jalgebra.2018.02.041

来源: Elsevier

【 摘 要 】

A characterization of the minimal W-algebras associated with the Deligne exceptional series at level -h(v)/6 is obtained by using one-parameter family of modular linear differential equations of order 4. In particular, the characters of the Ramond-twisted modules of minimal W-algebras related to the Deligne exceptional series satisfy one of these differential equations. In order to obtain the characterization, the differential equations in the one parameter family which have solutions of CFT type are classified, whose solutions are explicitly described. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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