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

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.
Authors:
 [1] ;  [2] ;  [1] ;  [1] ;  [1]
  1. SLAC, Stanford Univ., Stanford, CA (United States)
  2. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Report Number(s):
SLAC-PUB-16862
Journal ID: ISSN 1424-0637; PII: 454
Grant/Contract Number:
AC02-76SF00515; PHY-0756174
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; National Science Foundation (NSF); John Templeton Foundation
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1331207

Benjamin, Nathan, Harrison, Sarah M., Kachru, Shamit, Paquette, Natalie M., and Whalen, Daniel. On the elliptic genera of manifolds of Spin(7) holonomy. United States: N. p., Web. doi:10.1007/s00023-015-0454-5.
Benjamin, Nathan, Harrison, Sarah M., Kachru, Shamit, Paquette, Natalie M., & Whalen, Daniel. On the elliptic genera of manifolds of Spin(7) holonomy. United States. doi:10.1007/s00023-015-0454-5.
Benjamin, Nathan, Harrison, Sarah M., Kachru, Shamit, Paquette, Natalie M., and Whalen, Daniel. 2015. "On the elliptic genera of manifolds of Spin(7) holonomy". United States. doi:10.1007/s00023-015-0454-5. https://www.osti.gov/servlets/purl/1331207.
@article{osti_1331207,
title = {On the elliptic genera of manifolds of Spin(7) holonomy},
author = {Benjamin, Nathan and Harrison, Sarah M. and Kachru, Shamit and Paquette, Natalie M. and Whalen, Daniel},
abstractNote = {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.},
doi = {10.1007/s00023-015-0454-5},
journal = {Annales Henri Poincare},
number = 10,
volume = 17,
place = {United States},
year = {2015},
month = {12}
}