Constraints on 2d CFT partition functions

Daniel Friedan; Christoph A. Keller

doi:10.1007/JHEP10(2013)180

Constraints on 2d CFT partition functions

Daniel Friedan, Christoph A. Keller

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

87 Scopus citations

Abstract

Modular invariance is known to constrain the spectrum of 2d conformal field theories. We investigate this constraint systematically, using the linear functional method to put new improved upper bounds on the lowest gap in the spectrum. We also consider generalized partition functions of N = (2, 2) superconformal theories and discuss the application of our results to Calabi-Yau compactifications. For Calabi-Yau threefolds with no enhanced symmetry we find that there must always be non-BPS primary states of weight 0.6 or less.

Original language	English (US)
Article number	180
Journal	Journal of High Energy Physics
Volume	2013
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2013)180
State	Published - Oct 2013
Externally published	Yes

Keywords

Conformal and W Symmetry
Field Theories in Lower Dimensions
Sigma Models

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP10(2013)180

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AU - Keller, Christoph A.

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AB - Modular invariance is known to constrain the spectrum of 2d conformal field theories. We investigate this constraint systematically, using the linear functional method to put new improved upper bounds on the lowest gap in the spectrum. We also consider generalized partition functions of N = (2, 2) superconformal theories and discuss the application of our results to Calabi-Yau compactifications. For Calabi-Yau threefolds with no enhanced symmetry we find that there must always be non-BPS primary states of weight 0.6 or less.

KW - Conformal and W Symmetry

KW - Field Theories in Lower Dimensions

KW - Sigma Models

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JF - Journal of High Energy Physics

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ER -

Constraints on 2d CFT partition functions

Abstract

Keywords

ASJC Scopus subject areas

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