Minimal constrained superfields and the Fayet-Iliopoulos model.

Area of Science:

• Supersymmetry and particle physics
• Theoretical physics

Background:

• Chiral superfields are fundamental in supersymmetric theories.
• Understanding spontaneous symmetry breaking is key to model building.
• The Fayet-Iliopoulos model provides a framework for supersymmetry breaking.

Purpose of the Study:

• To demonstrate how constraints project chiral superfield components.
• To construct models of Goldstone bosons/inflatons.
• To extract the Standard Model Higgs doublet from supersymmetric electroweak sectors.

Main Methods:

• Utilizing simple operators in the microscopic theory.
• Applying the Fayet-Iliopoulos model for supersymmetry breaking.
• Analyzing the regime of spontaneous gauge and supersymmetry breaking.

Main Results:

• Identification of constraints for isolating scalar degrees of freedom.
• Demonstration of the emergence of the nilpotent goldstino superfield.
• Construction of effective operators and analysis of low-energy spectrum consequences.

Conclusions:

• The presented method offers a straightforward way to construct supersymmetric models.
• It provides insights into spontaneous symmetry breaking and low-energy phenomenology.
• The emergence of the goldstino superfield is shown through component and superspace formalisms.