Prepotentials from Symmetric Products

Abstract

We investigate the prepotential that describes certain F^4 couplings in eight dimensional string compactifications, and show how they can be computed from the solutions of inhomogenous differential equations. These appear to have the form of the Picard-Fuchs equations of a fibration of Sym^2(K3) over P^1. Our findings give support to the conjecture that the relevant geometry which underlies these couplings is given by a five-fold.

19p, harvmac; One sign in eq. (A.2) changed

References in corpus (2)

• Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
• Quartic Gauge Couplings from K3 Geometry

Cited by in corpus (1)

• Heterotic/Type II Triality and Instantons on $K_3$