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

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.

6 pages, 4 figures, references added, minor modifications, published version

References in corpus (10)

• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• N=1 supersymmetric extension of the baby Skyrme model
• The Ghost Condensate in N=1 Supergravity
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Topological solitons in the supersymmetric Skyrme model
• Supersymmetry Breaking in Spatially Modulated Vacua
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein