Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity
arXiv:0805.4216
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.
arXiv comment42pp., latex, 4 figures; v2: Several improvements in exposition have been added
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- Differential operators for elliptic genera