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:

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 SLAC, Stanford Univ., Stanford, CA (United States)
 Harvard Univ., Cambridge, MA (United States)
 Publication Date:
 Report Number(s):
 SLACPUB16862
Journal ID: ISSN 14240637; PII: 454
 Grant/Contract Number:
 AC0276SF00515; PHY0756174
 Type:
 Accepted Manuscript
 Journal Name:
 Annales Henri Poincare
 Additional Journal Information:
 Journal Volume: 17; Journal Issue: 10; Journal ID: ISSN 14240637
 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/s0002301504545.
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/s0002301504545.
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/s0002301504545. 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/s0002301504545},
journal = {Annales Henri Poincare},
number = 10,
volume = 17,
place = {United States},
year = {2015},
month = {12}
}