Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity

Details Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity

2008-05-27

arxiv.org/abs/0805.4216v2

Physics

High Energy Physics

High Energy Physics - Theory

42pp., latex, 4 figures; v2: Several improvements in exposition have been added

Scientific paper

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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