Elliptic Genera and 3d Gravity View Full Text


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Article Info

DATE

2016-10

AUTHORS

Nathan Benjamin, Miranda C. N. Cheng, Shamit Kachru, Gregory W. Moore, Natalie M. Paquette

ABSTRACT

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 K3, 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. More... »

PAGES

2623-2662

References to SciGraph publications

  • 2007-01-04. Partition functions and elliptic genera from supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 1987-12. Elliptic genera and quantum field theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-04-22. Chiral gravity in three dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-04-19. The D1/D5 system and singular CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 1985. The Theory of Jacobi Forms in NONE
  • 2009-09-08. Topologically massive gravity and the AdS/CFT correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 1997-04. Elliptic Genera of Symmetric Products and Second Quantized Strings in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-02. Quantum gravity partition functions in three dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-09. Universal spectrum of 2d conformal field theory in the large c limit in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-02. Supersymmetric states in large N Chern-Simons-matter theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1983-12. Thermodynamics of black holes in anti-de Sitter space in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00023-016-0469-6

    DOI

    http://dx.doi.org/10.1007/s00023-016-0469-6

    DIMENSIONS

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