On the elliptic genera of manifolds of Spin(7) holonomy
Abstract
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:
-
- SLAC, Stanford Univ., Stanford, CA (United States)
- Harvard Univ., Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE; National Science Foundation (NSF); John Templeton Foundation
- OSTI Identifier:
- 1331207
- Report Number(s):
- SLAC-PUB-16862
Journal ID: ISSN 1424-0637; PII: 454
- Grant/Contract Number:
- AC02-76SF00515; PHY-0756174
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Annales Henri Poincare
- Additional Journal Information:
- Journal Volume: 17; Journal Issue: 10; Journal ID: ISSN 1424-0637
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
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., 2015.
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. https://doi.org/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. https://doi.org/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},
url = {https://www.osti.gov/biblio/1331207},
journal = {Annales Henri Poincare},
issn = {1424-0637},
number = 10,
volume = 17,
place = {United States},
year = {Wed Dec 16 00:00:00 EST 2015},
month = {Wed Dec 16 00:00:00 EST 2015}
}
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Works referencing / citing this record:
K3 string theory, lattices and moonshine
journal, July 2018
- Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto
- Research in the Mathematical Sciences, Vol. 5, Issue 3
Moonshine
journal, July 2015
- Duncan, John FR; Griffin, Michael J.; Ono, Ken
- Research in the Mathematical Sciences, Vol. 2, Issue 1
Derived equivalences of K3 surfaces and twined elliptic genera
journal, February 2016
- Duncan, John F. R.; Mack-Crane, Sander
- Research in the Mathematical Sciences, Vol. 3, Issue 1
Derived Equivalences of K3 Surfaces and Twined Elliptic Genera
preprint, January 2015
- Duncan, John F. R.; Mack-Crane, Sander
- arXiv
Landau-Ginzburg Orbifolds and Symmetries of K3 CFTs
preprint, January 2015
- Cheng, Miranda C. N.; Ferrari, Francesca; Harrison, Sarah M.
- arXiv
K3 String Theory, Lattices and Moonshine
preprint, January 2016
- Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto
- arXiv
Constraints on Higher Spin CFT$_2$
text, January 2017
- Afkhami-Jeddi, Nima; Colville, Kale; Hartman, Thomas
- arXiv