String Amplitudes and N=2, d=4 Prepotential in Heterotic K3 x T^2 Compactifications

Abstract

For the gauge couplings, which arise after toroidal compactification of six-dimensional heterotic N=1 string theories from the T^2 torus, we calculate their one-loop corrections. This is performed by considering string amplitudes involving two gauge fields and moduli fields. We compare our results with the equations following from N=2 special geometry and the underlying prepotential of the theory. Moreover we find relations between derivatives of the N=2, d=4 prepotential and world-sheet tau-integrals which appear in various string amplitudes of any T^2-compactification.

28 TeX pages, uses harvmac, Final Version to appear in NP B

References in corpus (1)

• String-Unification, Universal One-Loop Corrections and Strongly Coupled Heterotic String Theory

Cited by in corpus (13)

• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
• String Threshold corrections in models with spontaneously broken supersymmetry
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
• Physics of Infinite Complex Structure Limits in eight Dimensions
• Threshold corrections, generalised prepotentials and Eichler integrals
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• The Master Equation for the Prepotential-Pub
• Shift-Symmetries at Higher Order
• Open & Closed vs. Pure Open String One-Loop Amplitudes
• On Heterotic/Type I Duality in d=8
• Moduli spaces of non-geometric type II/heterotic dual pairs