The Master Equation for the Prepotential-Pub

Abstract

The perturbative prepotential and the Kähler metric of the vector multiplets of the N=2 effective low-energy heterotic strings is calculated directly in N=1 six-dimensional toroidal compactifications of the heterotic string vacua. This method provides the solution for the one loop correction to the N=2 vector multiplet prepotential for compactifications of the heterotic string for any rank three and four models, as well for compactifications on $K_3\times T^2$. In addition, we complete previous calculations, derived from string amplitudes, by deriving the differential equation for the third derivative of the prepotential with respect of the usual complex structure U moduli of the $T^2$ torus. Moreover, we calculate the one loop prepotential, using its modular properties, for N=2 compactifications of the heterotic string exhibiting modular groups similar with those appearing in N=2 sectors of N=1 orbifolds based on non-decomposable torus lattices and on N=2 supersymmetric Yang-Mills.

Shorter version of hep-th/9802099 to appear in Nuclear Physics B

References in corpus (4)

• Lectures on Heterotic-Type I Duality
• String Amplitudes and N=2, d=4 Prepotential in Heterotic K3 x T^2 Compactifications
• String Loop Threshold Corrections for N=1 Generalized Coxeter Orbifolds
• The low-energy effective action for perturbative heterotic strings on $K_3\times T^2$ and the d=4 N=2 vector-tensor multiplet

Cited by in corpus (3)

• Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings
• Gauge and Gravitational Couplings from Modular Orbits in Orbifold Compactifications
• F-Theories on Double Sextics and Effective String Theories