Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity
High Energy Physics - Theory
2008-11-10 v2
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.
Keywords
Cite
@article{arxiv.0805.4216,
title = {Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity},
author = {Matthias R. Gaberdiel and Sergei Gukov and Christoph A. Keller and Gregory W. Moore and Hirosi Ooguri},
journal= {arXiv preprint arXiv:0805.4216},
year = {2008}
}
Comments
42pp., latex, 4 figures; v2: Several improvements in exposition have been added