Non-linear Realizations and Higher Curvature Supergravity

Abstract

We focus on non-linear realizations of local supersymmetry as obtained by using constrained superfields in supergravity. New constraints, beyond those of rigid supersymmetry, are obtained whenever curvature multiplets are affected as well as higher derivative interactions are introduced. In particular, a new constraint, which removes a very massive gravitino is introduced, and in the rigid limit it merely reduces to an explicit supersymmetry breaking. Higher curvature supergravities free of ghosts and instabilities are also obtained in this way. Finally, we consider direct coupling of the goldstino multiplet to the super Gauss--Bonnet multiplet and discuss the emergence of a new scalar degree of freedom.

25 pp, 1 plot, published version, references added

References in corpus (25)

• Effective Field Theory for Inflation
• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• $\overline{D3}$ and dS
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• $\overline{D3}$ Induced Geometric Inflation
• The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity
• Inflation from Nilpotent Kähler Corrections
• Reheating processes after Starobinsky inflation in old-minimal supergravity
• Gravitino Problem in Minimal Supergravity Inflation
• Minimal $R+R^2$ Supergravity Models of Inflation Coupled to Matter
• Interactions of N Goldstini in Superspace
• Supersymmetry Breaking and Inflation from Higher Curvature Supergravity
• Mass Formulae for Broken Supersymmetry in Curved Space-Time
• Minimal Constrained Supergravity
• Constrained superfields from inflation to reheating
• A Search for an N=2 Inflaton Potential
• Inflation in $R^2$ supergravity with non-minimal superpotentials
• Deforming the Starobinsky model in ghost-free higher derivative supergravities
• The Supercurrent and Einstein equations in the Superconformal formulation
• Higher Curvature Supergravity, Supersymmetry Breaking and Inflation

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• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• Causality Violations in Lovelock Theories
• Bimetric, Conformal Supergravity and its Superstring Embedding
• Probing the BSM physics with CMB precision cosmology: an application to supersymmetry
• Ghostbusters in $f(R)$ supergravity
• Aspects of Conformal Supergravity
• Non-linear realisations in global and local supersymmetry
• Comments on Nonlinear Sigma Models Coupled to Supergravity
• Horndeski model in nonlinearly realized supergravity