Flux-induced isometry gauging in heterotic strings

TL;DR

This paper investigates how fluxes in heterotic string compactifications gauge certain symmetries, protected by a vanishing theorem, and explores implications for related IIB string theories.

Contribution

It demonstrates the protection of flux-induced isometry gauging in heterotic strings via Witten's vanishing theorem and discusses potential protections in hyper moduli space.

Findings

Flux-induced isometry gauging is protected by Witten's vanishing theorem.

Protection of ungauged isometries depends on gauge bundle structure.

Implications for related IIB string theory settings are discussed.

Abstract

We study the effect of flux-induced isometry gauging of the scalar manifold in N=2 heterotic string compactification with gauge fluxes. We show that a vanishing theorem by Witten provides the protection mechanism. The other ungauged isometries in hyper moduli space could also be protected, depending on the gauge bundle structure. We also discuss the related issue in IIB setting