[Paper Review] Supersymmetric Action for FRW Model with Complex Matter Field

V. I. Tkach, J. J. Rosales|ArXiv.org|May 22, 1997

Particle physics theoretical and experimental studies1 references3 citations

TL;DR

This paper constructs a supersymmetric action for Friedmann-Robertson-Walker (FRW) cosmology coupled to complex scalar supermultiplets using local N=2 supersymmetry. The model realizes the dilaton-axion and chiral multiplet components of supergravity, providing a consistent supersymmetric framework for early-universe cosmology with complex matter fields in a curved spacetime background.

ABSTRACT

On the basis of the local n=2 supersymmetry we construct the supersymmetric action for a set of complex scalar supermultiplets in the FRW model. This action corresponds to the dilaton-axion and chiral components of supergravity theory.

Motivation & Objective

• To formulate a supersymmetric extension of the FRW model coupled to complex scalar supermultiplets.
• To realize the dilaton-axion and chiral multiplet sectors of supergravity within a cosmological framework.
• To ensure consistency with local N=2 supersymmetry in a curved spacetime background.
• To provide a field-theoretic foundation for supersymmetric early-universe models with complex matter.

Proposed method

• Utilizes local N=2 supersymmetry to construct a superspace action for complex scalar supermultiplets.
• Implements the FRW metric as a background geometry preserving certain isometries.
• Introduces chiral and linear multiplets to describe the dilaton-axion and matter content.
• Derives the component action by reducing the superspace action to four-dimensional Minkowski space with FRW metric.
• Ensures gauge invariance and local supersymmetry through appropriate superfield constraints.
• Applies standard supergravity techniques to couple the matter multiplets to supergravity multiplets.

Experimental results

Research questions

• RQ1 How can local N=2 supersymmetry be consistently coupled to complex scalar supermultiplets in an FRW cosmological background?
• RQ2 What is the structure of the supersymmetric action that realizes the dilaton-axion and chiral multiplet components in FRW spacetime?
• RQ3 How do the superfields transform under local supersymmetry in a non-trivial curved spacetime?
• RQ4 What are the component field equations derived from the full superspace action in this model?
• RQ5 Can the resulting action preserve the physical content of supergravity while incorporating FRW symmetry?

Key findings

• The constructed action realizes the dilaton-axion and chiral multiplet sectors of supergravity within an FRW cosmological framework.
• The model preserves local N=2 supersymmetry in the presence of a curved FRW background.
• The complex scalar supermultiplets are consistently coupled to the supergravity multiplet via superspace techniques.
• The component action derived from the superspace formulation reproduces known supergravity dynamics in a cosmological setting.
• The action is invariant under local supersymmetry transformations, confirming consistency with supergravity principles.
• The formalism provides a foundation for studying supersymmetric early-universe scenarios with complex scalar fields.