TY - JOUR
T1 - Extremal N = (2, 2) 2D conformal field theories and constraints of modularity
AU - Gaberdiel, Matthias R.
AU - Gukov, Sergei
AU - Keller, Christoph A.
AU - Moore, Gregory W.
AU - Ooguri, Hirosi
PY - 2008/12
Y1 - 2008/12
N2 - 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 AdS3 supergravity and flux compactifications are addressed.
AB - 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 AdS3 supergravity and flux compactifications are addressed.
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U2 - 10.4310/CNTP.2008.v2.n4.a3
DO - 10.4310/CNTP.2008.v2.n4.a3
M3 - Article
AN - SCOPUS:84865968909
SN - 1931-4523
VL - 2
SP - 743
EP - 801
JO - Communications in Number Theory and Physics
JF - Communications in Number Theory and Physics
IS - 4
ER -