Modular differential equations and null vectors

Matthias R. Gaberdiel

doi:10.1088/1126-6708/2008/09/079

Modular differential equations and null vectors

2008-09-17

44

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M

Matthias R. Gaberdiel *

C

Christoph A. Keller

DOI：10.1088/1126-6708/2008/09/079

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We show that every modular differential equation of a rational conformal field theory comes from a null vector in the vacuum Verma module. We also comment on the implications of this result for the consistency of the extremal self-dual conformal field theories at c = 24 k.

Keyword:

conformal field models in string theory

AdS-CFT correspondence

Modular differential equations and null vectors

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