City Research Online

Eta Products, BPS States and K3 Surfaces

He, Y. and 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

Abstract

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.

Publication Type: Article
Publisher Keywords: Differential and Algebraic Geometry, Discrete and Finite Symmetries, String Duality, Supersymmetry and Duality
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/12855
[img]
Preview
Text - Accepted Version
Available under License Creative Commons: Attribution International Public License 4.0.

Download (541kB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login