On Formulating the Non-Geometric Scalar Potentials

TL;DR

This paper reviews methods to derive scalar potentials in four-dimensional type II supergravities with geometric and non-geometric fluxes, aiming to simplify their complex structure for phenomenological model building.

Contribution

It introduces and compares various equivalent master formulae for formulating scalar potentials involving non-geometric fluxes in a concise manner.

Findings

Unified framework for scalar potential derivation

Simplification of complex flux-induced potentials

Potential for improved phenomenological models

Abstract

In the context of four-dimensional type II supergravities, the successive application of various S/T-dualities leads to a generalized notion of fluxes, which includes certain (non-)geometric fluxes along with the standard RR and NS-NS p-form fluxes. These fluxes induce a diverse set of superpotential couplings leading to scalar potentials with a very rich structure, which may possibly result in a vast landscape of physical vacua. However such scalar potentials typically consist of a huge number of terms and in order to make any attempt for phenomenological model building with some analytic understanding/control it is necessary to formulate them in some compact and concise form. Along these lines we review various equivalent methods of deriving the same scalar potential through a set of master formulae, which may open up a new avenue for model building using non-geometric fluxes.