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Title: On the elliptic genera of manifolds of Spin(7) holonomy

Journal Article · · Annales Henri Poincare
 [1];  [2];  [1];  [1];  [1]
  1. SLAC, Stanford Univ., Stanford, CA (United States)
  2. Harvard Univ., Cambridge, MA (United States)
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Superstring compactification on a manifold of Spin(7) holonomy gives rise to a 2d worldsheet conformal field theory with an extended supersymmetry algebra. The N=1 superconformal algebra is extended by additional generators of spins 2 and 5/2, and instead of just superconformal symmetry one has a c = 12 realization of the symmetry group SW(3/2,2). In this paper, we compute the characters of this supergroup and decompose the elliptic genus of a general Spin(7) compactification in terms of these characters. Here, we find suggestive relations to various sporadic groups, which are made more precise in a companion paper.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE; National Science Foundation (NSF); John Templeton Foundation
Grant/Contract Number:
AC02-76SF00515; PHY-0756174
OSTI ID:
1331207
Report Number(s):
SLAC-PUB-16862; PII: 454
Journal Information:
Annales Henri Poincare, Vol. 17, Issue 10; ISSN 1424-0637
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (14)

Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes journal January 1951
Compact 8-manifolds with holonomy Spin(7) journal September 1996
Finite groups of automorphisms of K3 surfaces and the Mathieur group journal February 1988
Manifolds and Modular Forms book January 1992
The index of the dirac operator in loop space book January 1988
Quaternionic K�hler manifolds journal February 1982
The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras journal January 1999
Elliptic genera and N = 2 superconformal field theory journal February 1994
Product representation of dyon partition function in CHL models journal June 2006
Modular invariance and discrete torsion on orbifolds journal September 1986
Generalised discrete torsion and mirror symmetry for G 2 manifolds journal August 2004
Character Formulae and the Structure of the Representations of the n=1, n=2 Superconformal Algebras journal August 1988
Non-linear finite W-symmetries and applications in elementary systems journal July 1996
Unitary representations of SW(3/2,2) superconformal algebra text January 2001

Cited By (7)

K3 string theory, lattices and moonshine journal July 2018
Moonshine journal July 2015
Derived equivalences of K3 surfaces and twined elliptic genera journal February 2016
Derived Equivalences of K3 Surfaces and Twined Elliptic Genera preprint January 2015
Landau-Ginzburg Orbifolds and Symmetries of K3 CFTs preprint January 2015
K3 String Theory, Lattices and Moonshine preprint January 2016
Constraints on Higher Spin CFT$_2$ text January 2017

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS