TY - JOUR

T1 - Affine Vertex Operator Algebras and Modular Linear Differential Equations

AU - Arike, Yusuke

AU - Kaneko, Masanobu

AU - Nagatomo, Kiyokazu

AU - Sakai, Yuichi

N1 - Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - In this paper, we list all affine vertex operator algebras of positive integral levels whose dimensions of spaces of characters are at most 5 and show that a basis of the space of characters of each affine vertex operator algebra in the list gives a fundamental system of solutions of a modular linear differential equation. Further, we determine the dimensions of the spaces of characters of affine vertex operator algebras whose numbers of inequivalent simple modules are not exceeding 20.

AB - In this paper, we list all affine vertex operator algebras of positive integral levels whose dimensions of spaces of characters are at most 5 and show that a basis of the space of characters of each affine vertex operator algebra in the list gives a fundamental system of solutions of a modular linear differential equation. Further, we determine the dimensions of the spaces of characters of affine vertex operator algebras whose numbers of inequivalent simple modules are not exceeding 20.

UR - http://www.scopus.com/inward/record.url?scp=84963646089&partnerID=8YFLogxK

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U2 - 10.1007/s11005-016-0837-7

DO - 10.1007/s11005-016-0837-7

M3 - Article

AN - SCOPUS:84963646089

VL - 106

SP - 693

EP - 718

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 5

ER -