2015/03/31 by Nathan Benjamin, Miranda C. N. Cheng, Shamit Kachru +2 · 34 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal gravity #Conformal map #Conformal symmetry #Dual polyhedron #Genus #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Product (mathematics) #Simple (philosophy) #Supergravity #hep-th
paper · pdf · doi:10.1007/s00023-016-0469-6
published in Annales Henri Poincaré 17(10), 2623-2662 (Birkhäuser) · 50 pages, 9 figures, v2: minor corrections to section 6
arxiv created 2015/04/24 · openalex publication_date 2016/03/30 · openalex created_date 2016/06/24 · arxiv updated 2016/11/03 · openalex updated_date 2026/08/06
We describe general constraints on the elliptic genus of a 2d supersymmetric conformal field theory which has a gravity dual with large radius in Planck units. We give examples of theories which do and do not satisfy the bounds we derive, by describing the elliptic genera of symmetric product orbifolds of K 3, product manifolds, certain simple families of Calabi–Yau hypersurfaces, and symmetric products of the “Monster CFT”. We discuss the distinction between theories with supergravity duals and those whose duals have strings at the scale set by the AdS curvature. Under natural assumptions, we attempt to quantify the fraction of (2,2) supersymmetric conformal theories which admit a weakly curved gravity description, at large central charge.