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

Benjamin, Nathan; Harrison, Sarah M.; Kachru, Shamit; Paquette, Natalie M.; Whalen, Daniel

doi:10.1007/s00023-015-0454-5

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

Journal Article · Wed Dec 16 00:00:00 EST 2015 · Annales Henri Poincare

DOI:https://doi.org/10.1007/s00023-015-0454-5· OSTI ID:1331207

Benjamin, Nathan ^[1]; Harrison, Sarah M. ^[2]; Kachru, Shamit ^[1]; Paquette, Natalie M. ^[1]; Whalen, Daniel ^[1]

SLAC, Stanford Univ., Stanford, CA (United States)
Harvard Univ., Cambridge, MA (United States)

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:: John Templeton Foundation; NSF; USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1331207

Report Number(s):: SLAC-PUB--16862; PII: 454

Journal Information:: Annales Henri Poincare, Journal Name: Annales Henri Poincare Journal Issue: 10 Vol. 17; ISSN 1424-0637

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (9)

Landau-Ginzburg orbifolds and symmetries of K3 CFTs Cheng, Miranda C. N.; Ferrari, Francesca; Harrison, Sarah M. Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/jhep01(2017)046	journal	January 2017
Constraints on higher spin CFT2 Afkhami-Jeddi, Nima; Colville, Kale; Hartman, Thomas Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/jhep05(2018)092	journal	May 2018
K3 string theory, lattices and moonshine Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto Research in the Mathematical Sciences, Vol. 5, Issue 3 https://doi.org/10.1007/s40687-018-0150-4	journal	July 2018
Moonshine Duncan, John FR; Griffin, Michael J.; Ono, Ken Research in the Mathematical Sciences, Vol. 2, Issue 1 https://doi.org/10.1186/s40687-015-0029-6	journal	July 2015
Derived equivalences of K3 surfaces and twined elliptic genera Duncan, John F. R.; Mack-Crane, Sander Research in the Mathematical Sciences, Vol. 3, Issue 1 https://doi.org/10.1186/s40687-015-0050-9	journal	February 2016
Derived Equivalences of K3 Surfaces and Twined Elliptic Genera Duncan, John F. R.; Mack-Crane, Sander arXiv https://doi.org/10.48550/arxiv.1506.06198	preprint	January 2015
Landau-Ginzburg Orbifolds and Symmetries of K3 CFTs Cheng, Miranda C. N.; Ferrari, Francesca; Harrison, Sarah M. arXiv https://doi.org/10.48550/arxiv.1512.04942	preprint	January 2015
K3 String Theory, Lattices and Moonshine Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto arXiv https://doi.org/10.48550/arxiv.1612.04404	preprint	January 2016
Constraints on Higher Spin CFT$_2$ Afkhami-Jeddi, Nima; Colville, Kale; Hartman, Thomas arXiv https://doi.org/10.48550/arxiv.1707.07717	text	January 2017

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