Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets

TL;DR

This paper investigates how higher derivative corrections in four-dimensional $ abla=1$ supergravity with matter multiplets can lead to non-trivial de Sitter vacua, often breaking supersymmetry, highlighting the role of auxiliary fields in potential generation.

Contribution

It demonstrates that Riemann curvature square and higher derivative matter terms can produce de Sitter vacua without superpotentials, revealing new mechanisms in supergravity models.

Findings

Higher derivative terms induce de Sitter vacua.

Vacua often break supersymmetry.

Auxiliary fields are crucial for potential formation.

Abstract

We study the vacuum structures of four-dimensional $\mathcal{N} = 1$ old minimal supergravity with higher derivative corrections. We find that $\mathcal{N} = 1$ supergravity with Riemann curvature square corrections and higher derivative matter chiral multiplets induces a non-trivial de Sitter vacuum, even in the absence of superpotentials. This vacuum generically breaks supersymmetry. We show that the auxiliary fields in the gravity and the chiral multiples play important roles to generate a potential in supersymmetric higher derivative theories.