Extremal N = (2, 2) 2D conformal field theories and constraints of modularity

Matthias R. Gaberdiel; Sergei Gukov; Christoph A. Keller; Gregory W. Moore; Hirosi Ooguri

doi:10.4310/CNTP.2008.v2.n4.a3

Extremal N = (2, 2) 2D conformal field theories and constraints of modularity

Matthias R. Gaberdiel
, Sergei Gukov
, Christoph A. Keller
, Gregory W. Moore
, Hirosi Ooguri

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

28 Scopus citations

Abstract

We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N = (2, 2) 2D CFTs. We show that such constraints have nontrivial implications for the existence of "extremal" N = (2, 2) conformal field theories. Applications to AdS3 supergravity and flux compactifications are addressed.

Original language	English (US)
Pages (from-to)	743-801
Number of pages	59
Journal	Communications in Number Theory and Physics
Volume	2
Issue number	4
DOIs	https://doi.org/10.4310/CNTP.2008.v2.n4.a3
State	Published - Dec 2008
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Mathematical Physics
General Physics and Astronomy

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10.4310/CNTP.2008.v2.n4.a3

Cite this

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AU - Ooguri, Hirosi

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AB - We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N = (2, 2) 2D CFTs. We show that such constraints have nontrivial implications for the existence of "extremal" N = (2, 2) conformal field theories. Applications to AdS3 supergravity and flux compactifications are addressed.

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Extremal N = (2, 2) 2D conformal field theories and constraints of modularity

Abstract

ASJC Scopus subject areas

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