de Sitter Conjectures in N=1 Supergravity

TL;DR

This paper formulates de Sitter conjectures within N=1 supergravity, explores models that satisfy or violate these conjectures, and introduces a new construction of exponential potentials affecting supergravity's compliance with the conjectures.

Contribution

It provides a novel formulation of de Sitter conjectures using the Kähler invariant function and introduces a new class of exponential potentials in supergravity.

Findings

Models obeying and violating the conjectures identified

New exponential potentials constructed within supergravity

Modifications shown to enable compliance with de Sitter conjectures

Abstract

Supergravity theories at D=4 allow to formulate the Swampland de Sitter conjectures in the complex field space of scalar components of chiral multiplets. We formulate the de Sitter and refined de Sitter conjecture by using the K\"ahler invariant ${\cal G}$-function and explore a class of models in the Landscape/Swampland scenario which obey and/or violate such conjectures. Furthermore we give a new construction of single exponential potentials in supergravity. These depend on a chiral superfield with a K\"ahler potential parametrizing an SU(1,1)/U(1) geometry. We show that the construction allows for modifications to supergravity theories causing them to obey the de Sitter conjectures.