Modular differential equations and null vectors

Christoph A. Keller; Matthias R. Gaberdiel

Modular differential equations and null vectors

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arxiv 0804.0489 v3 pith:TUBA4XHL submitted 2008-04-03 hep-th

Matthias R. Gaberdiel , Christoph A. Keller This is my paper · ORCID

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keywords conformaldifferentialfieldmodularnullcomescommentconsistency

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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.

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Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations
hep-th 2026-03 accept novelty 7.0 of 10

Modular S-transforms of chirally deformed CFT partition functions are determined iteratively by second-order OPE poles of the deforming currents, with explicit multiplicities.

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