Classification of Shift-Symmetric No-Scale Supergravities

TL;DR

This paper classifies all ungauged shift-symmetric no-scale supergravity models in four dimensions, establishing their dual descriptions and discussing their relevance in string theory compactifications.

Contribution

It provides a complete classification of shift-symmetric no-scale supergravities in both chiral and linear multiplet formulations, confirming their duality and relevance to string models.

Findings

All such models are classified and matched in dual formulations.

The duality between chiral and linear multiplet descriptions is verified.

Implications for effective supergravity theories from string compactifications are discussed.

Abstract

Models of 4D $\mathcal{N}=1$ supergravity coupled to chiral multiplets with vanishing or positive scalar potential have been denoted as no-scale. Of particular interest in the context of string theory are models which additionally possess a shift-symmetry. In this case there exists a dual description of chiral models in terms of real linear multiplets. We classify all ungauged shift-symmetric no-scale supergravities in both formulations and verify that they match upon dualization. Additionally, we comment on the realizations within effective supergravities descending from string compactifications.