The effective action of the heterotic string compactified on manifolds with SU(3) structure

TL;DR

This paper derives the four-dimensional N=1 effective action for heterotic string theory compactified on SU(3) structure manifolds with fluxes, using fermionic reduction to determine key functions.

Contribution

It provides a complete derivation of the effective action, including the Kaehler potential, gauge kinetic function, and superpotential, from fermionic terms in flux compactifications.

Findings

Explicit formulas for moduli dependence of key functions

Demonstrates fermionic reduction as a method for deriving effective actions

Advances understanding of flux compactifications in heterotic string theory

Abstract

We derive the N=1 effective action of the heterotic string compactified on manifolds with SU(3) structure in the presence of background fluxes. We use a Kaluza-Klein reduction and compute the moduli dependence of the Kaehler potential, the gauge kinetic function and the superpotential entirely from fermionic terms of the reduced action.