On Formulating the Non-Geometric Scalar Potentials

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.

Comments: 26 pages; Contribution to Proceedings for the "Workshop on the Standard Model and Beyond", Corfu Summer Institute, 2023 (CORFU2023-SM). arXiv admin note: substantial text overlap with arXiv:2308.15529