What If Dirac Pionini Existed in a Purely Chiral Superfield Formulation?

TL;DR

This paper explores the theoretical possibility of Dirac pionini within a supersymmetric framework, proposing a deformation of the pion multiplet geometry to include a second pseudoscalar multiplet similar to Z_0.

Contribution

It introduces a novel deformation of the SU(3) pion multiplet geometry to incorporate Dirac-like superpartners, advancing supersymmetric model building.

Findings

Deformation allows a second pseudoscalar multiplet analogous to Z_0.

Construction of N=1 supersymmetric models with pions and Dirac-like superpartners.

Highlights the geometric flexibility of pion multiplets in supersymmetric theories.

Abstract

By an explicit construction, it is shown that the geometry of the SU(3) pion multiplet with respect to the group manifold SU_L(3) x SU_R(3) maybe deformed to admit a second pseudoscalar multiplet that is analogous to the Z_0 in unified theories of the electroweak interactions. This observation is found to play a key role in the construction of the N = 1 supersymmetric models with pions and Dirac-like spin-1/2 superpartners ("pionini").