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

2008/05/27 by Matthias R. Gaberdiel, Sergei Gukov, Gaberdiel, Matthias R. +7 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/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.

Cited by

• Universal Bounds in Even-Spin CFTs
• Differential operators for elliptic genera
• Spaces of Quantum Field Theories

Related

• Properties of extremal CFTs with small central charge
• Universal Bounds on Operator Dimensions in General 2D Conformal Field\n Theories
• Modular Bootstrap Revisited
• The Moduli Space of N = 2 Superconformal Field Theories
• Conformal Bootstrap with Duality-Inspired Fusion Rule