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arXiv · 0805.4216

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
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Abstract

We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N=(2,2) 2D CFT's. 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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Matthias R. Gaberdiel, Sergei Gukov, Christoph A. Keller, Gregory W. Moore, Hirosi Ooguri. 2008-11-08. Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity. https://arxiv.org/abs/0805.4216

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