Modular differential equations and null vectors

Details Modular differential equations and null vectors Modular differential equations and null vectors

2008-04-03

arxiv.org/abs/0804.0489v3

JHEP 0809:079,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX, v2: added appendix containing details of proof; version published in JHEP, v3: corrected typos in appendix

Scientific paper

10.1088/1126-6708/2008/09/079

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.

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