Eta Products, BPS States and K3 Surfaces

He, Y. & McKay, J.M. (2014). Eta Products, BPS States and K3 Surfaces. Journal of High Energy Physics, 2014(1), p. 113. doi: 10.1007/JHEP01(2014)113

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Inspired by the multiplicative nature of the Ramanujan modular discriminant, Δ, we consider physical realizations of certain multiplicative products over the Dedekind eta-function in two parallel directions: the generating function of BPS states in certain heterotic orbifolds and elliptic K3 surfaces associated to congruence subgroups of the modular group. We show that they are, after string duality to type II, the same K3 surfaces admitting Nikulin automorphisms. In due course, we will present identities arising from q-expansions as well as relations to the sporadic Mathieu group M 24.

Item Type: Article
Uncontrolled Keywords: Differential and Algebraic Geometry, Discrete and Finite Symmetries, String Duality, Supersymmetry and Duality
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science

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