On the Elliptic Genera of Manifolds of Spin(7) Holonomy |
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| Authors: | Nathan Benjamin Sarah M. Harrison Shamit Kachru Natalie M. Paquette Daniel Whalen |
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| Affiliation: | 1.SITP, Department of Physics and Theory Group,SLAC, Stanford University,Stanford,USA;2.Center for the Fundamental Laws of Nature,Harvard University,Cambridge,USA |
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| 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 ({mathcal{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 ({mathcal{S}W(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. We find suggestive relations to various sporadic groups, which are made more precise in a companion paper. |
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