De Sitter Vacua in No-Scale Supergravity

TL;DR

This paper extends the construction of de Sitter vacua within no-scale supergravity to models with multiple fields, analyzing stability conditions and providing explicit examples with simple superpotentials.

Contribution

It generalizes de Sitter solutions in no-scale supergravity to multi-field models relevant for string compactifications, including stability analysis and explicit superpotential examples.

Findings

Extended de Sitter constructions to multi-field no-scale models.

Analyzed stability conditions for these vacua.

Provided examples with superpotentials containing only integer powers.

Abstract

No-scale supergravity is the appropriate general framework for low-energy effective field theories derived from string theory. The simplest no-scale K\"ahler potential with a single chiral field corresponds to a compactification to flat Minkowski space with a single volume modulus, but generalizations to single-field no-scale models with de Sitter vacua are also known. In this paper we generalize these de Sitter constructions to two- and multi-field models of the types occurring in string compactifications with more than one relevant modulus. We discuss the conditions for stability of the de Sitter solutions and holomorphy of the superpotential, and give examples whose superpotential contains only integer powers of the chiral fields.