Abstract

We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R-\lambda)^2=0 with an appropriate constant \lambda. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f(R) supergravity theories.

Highlights

  • Studies of non-linear supersymmetric actions have been revived recently due to potential interesting applications in particle physics [1] and cosmology [2,3,4] and their realization in particular string compactifications [5,6]

  • We study the coupling of non-linear supersymmetry to supergravity

  • The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R − λ)2 = 0 with an appropriate constant λ

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Summary

Introduction

Studies of non-linear supersymmetric actions have been revived recently due to potential interesting applications in particle physics [1] and cosmology [2,3,4] and their realization in particular string compactifications [5,6]. The resulting R2 supergravity contains besides the graviton and the gravitino the degrees of freedom of a chiral multiplet that should play the role of the goldstino multiplet It turns out, that this theory does not have a minimum in flat space for finite ρ, while, starting from a de Sitter minimum, the decoupling limit of. We would like to find a geometrical formulation of (2.2), that is, to eliminate X and write an equivalent Lagrangian that contains only superfields describing the geometry of spacetime, such as the superspace chiral curvature R [2,15,16] To this aim, we observe that the following Kähler potential K :.

Two equivalent Lagrangians
Constraining a chiral superfield X
Constraining the superspace curvature superfield R
Without imposing direct constraints

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