Abstract
Superstring compactication on a manifold of Spin(7) holonomy gives rise to a 2d worldsheet conformal eld 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) compactication in terms of these characters. We nd suggestive relations to various sporadic
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