Extremal $\CN=(2,2)$ 2D conformal field theories and constraints of modularity
Extremal $\CN=(2,2)$ 2D conformal field theories and constraints of modularity
We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N = (2, 2) 2D CFTs.We show that such constraints have nontrivial implications for the existence of "extremal" N = (2, 2) conformal field theories.Applications to AdS 3 supergravity and flux compactifications …