Elliptic genera and 3d gravity

Journal Article · Wed Mar 30 00:00:00 EDT 2016 · Annales Henri Poincare

DOI:https://doi.org/10.1007/s00023-016-0469-6· OSTI ID:1331206

Benjamin, Nathan ^[1]; Cheng, Miranda C. N. ^[2]; Kachru, Shamit ^[1]; Moore, Gregory W. ^[3]; Paquette, Natalie M. ^[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)

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 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.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1331206
• Report Number(s): SLAC-PUB-16861; PII: 469
• Journal Information: Annales Henri Poincare, Vol. 17, Issue 10; ISSN 1424-0637
• Publisher: Springer
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS