Type IIB Flux Vacua from M-theory via F-theory

TL;DR

This paper explores the duality between type IIB string theory and M-theory through F-theory, explicitly mapping fields and moduli, and demonstrating that flux-induced potentials are consistent across both frameworks.

Contribution

It provides an explicit field and moduli map between type IIB and M-theory in the F-theory limit, confirming the equivalence of flux-induced potentials.

Findings

The field and moduli maps between type IIB and M-theory are explicitly constructed.

Flux-induced potentials in both theories are shown to match.

The analysis confirms the duality consistency in the presence of fluxes.

Abstract

We study in detail some aspects of duality between type IIB and M-theory. We focus on the duality between type IIB string theory on K3 x T^2/Z_2 orientifold and M-theory on K3 x K3, in the F-theory limit. We give the explicit map between the fields and in particular between the moduli of compactification, studying their behavior under the F-theory limit. Turning on fluxes generates a potential for the moduli both in type IIB and in M-theory. We verify that the type IIB analysis gives the same results of the F-theory analysis. In particular, we check that the two potentials match.