Aspects of cubic nilpotent superfields

Abstract

We study in more detail the cubic constraints for N=1 chiral superfields proposed in the earlier work Eur. Phys. J. C 81, 523 (2021), which describe low-energy goldstino-axion dynamics in global non-linearly realized supersymmetry. We generalize the constraint (i) by gauging the abelian symmetry that shifts the axion, and (ii) to supergravity. In the former case we show that after adding the abelian gauge multiplet, the construction can be formulated as a cubic nilpotent massive vector superfield. In the latter case we find explicit solution to the constraint including contributions from the supergravity multiplet. We also propose microscopic supergravity models (with linear supersymmetry), including a toy model for the string dilaton, which give rise to the cubic constraints at low energies.

31 pages, 1 figure

References in corpus (11)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity
• Inflation, de Sitter Landscape and Super-Higgs effect
• Gravitino Problem in Minimal Supergravity Inflation
• Minimal Constrained Supergravity
• Quintic constraints for $\mathcal{N}=2$ multiplets and complete SUSY breaking