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Title: Elliptic genera and 3d gravity

Here, 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.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [1]
  1. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Univ. of Amsterdam, Amsterdam (The Netherlands)
  3. Rutgers Univ., Piscataway, NJ (United States)
Publication Date:
Report Number(s):
SLAC-PUB-16861
Journal ID: ISSN 1424-0637; PII: 469
Grant/Contract Number:
AC02-76SF00515
Type:
Accepted Manuscript
Journal Name:
Annales Henri Poincare
Additional Journal Information:
Journal Volume: 17; Journal Issue: 10; Journal ID: ISSN 1424-0637
Publisher:
Springer
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1331206