TY - JOUR
T1 - Modular Forms and Second Order Ordinary Differential Equations
T2 - Applications to Vertex Operator Algebras
AU - Kaneko, Masanobu
AU - Nagatomo, Kiyokazu
AU - Sakai, Yuichi
PY - 2013/4
Y1 - 2013/4
N2 - We study the relation between the Kaneko-Zagier equation and the Mathur-Mukhi-Sen classification, and extend it to the case of solutions with logarithmic terms, which correspond to pseudo-characters of non-rational vertex operator algebras. As an application, we prove a non-existence theorem of rational vertex operator algebras.
AB - We study the relation between the Kaneko-Zagier equation and the Mathur-Mukhi-Sen classification, and extend it to the case of solutions with logarithmic terms, which correspond to pseudo-characters of non-rational vertex operator algebras. As an application, we prove a non-existence theorem of rational vertex operator algebras.
UR - http://www.scopus.com/inward/record.url?scp=84874811167&partnerID=8YFLogxK
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U2 - 10.1007/s11005-012-0602-5
DO - 10.1007/s11005-012-0602-5
M3 - Article
AN - SCOPUS:84874811167
SN - 0377-9017
VL - 103
SP - 439
EP - 453
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 4
ER -