Modular differential equations and null vectors

Matthias R. Gaberdiel; Christoph A. Keller

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

Modular differential equations and null vectors

Matthias R. Gaberdiel, Christoph A. Keller

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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 = 24k.

Original language	English (US)
Article number	079
Journal	Journal of High Energy Physics
Volume	2008
Issue number	9
DOIs	https://doi.org/10.1088/1126-6708/2008/09/079
State	Published - Sep 1 2008
Externally published	Yes

Keywords

AdS-CFT correspondence
Conformal field models in string theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1088/1126-6708/2008/09/079

Cite this

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title = "Modular differential equations and null vectors",

abstract = "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 = 24k.",

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AB - 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 = 24k.

KW - AdS-CFT correspondence

KW - Conformal field models in string theory

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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Modular differential equations and null vectors

Abstract

Keywords

ASJC Scopus subject areas

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