N=1 Supersymmetric Axionic Model from the CFJ approach

TL;DR

This work builds an $N=1$ supersymmetric extension of axion electrodynamics in a CFJ-inspired framework by promoting the background to a dynamical axion superfield, thereby preserving Lorentz symmetry. The authors formulate the action $\ S_{SQED+AXION}$ as the sum of the SQED action, axion–photon coupling, and axion dynamics, with the axion multiplet containing $(a=\alpha+i\beta,\psi,F)$ and its SUSY partners. The scalar potential $V(\alpha,\beta)$ exhibits two minima, with $\langle\beta\rangle=0$ and $\langle\alpha\rangle$ either zero or $-m_a/f$, and expansion around these minima yields equal effective masses $m^{\mathrm{eff}}_{\alpha}=m^{\mathrm{eff}}_{\beta}=m^{\mathrm{eff}}_{\Psi}=m_a$, indicating unbroken SUSY; the photino remains massless at this level. The analysis also highlights non-polynomial interactions and a Primakoff-like coupling $g^{a\gamma}\sqrt{2}\,\bar{\Lambda}\Sigma^{\mu\nu}\Psi F_{\mu\nu}$, suggesting avenues for NJL-like mass generation and rich phenomenology for axion–photino–photon dynamics in a Lorentz-invariant SUSY setting.

Abstract

The main purpose behind this work has been to construct a supersymmetric extension of axionic electrodynamics, inspired by the supersymmetric Lorentz-symmetry-violating Carroll-Field-Jackiw (CFJ) scenario. Thus, in addition to the axion and the photon, our model naturally incorporates its supersymmetric partners - the axino and the photino - and allows for the interaction between them. This enriches the Axionic Electrodynamics not only from a theoretical standpoint but also for its phenomenological relevance, providing additional interactions between possible dark matter candidates.