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.
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.
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U2 - 10.1007/s11005-016-0837-7
DO - 10.1007/s11005-016-0837-7
M3 - Article
AN - SCOPUS:84963646089
SN - 0377-9017
VL - 106
SP - 693
EP - 718
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 5
ER -