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arxiv: 2509.26089 · v4 · submitted 2025-09-30 · ✦ hep-ph · hep-th

A Supersymmetric Extension of Axionic Electrodynamics: From Axions and Photons to Axinos and Photinos

C. Rold\'an-Dom\'inguez , H. Belich , W. Spalenza , A. L. M. A. Nogueira , M. Reetz , J. A. Helay\"el-Neto This is my paper

Pith reviewed 2026-05-18 12:14 UTC · model grok-4.3

classification ✦ hep-ph hep-th
keywords supersymmetric extensionaxionic electrodynamicsaxinophotinomagnetic vorticessuperspace formalismdispersion relationsfield configurations
0
0 comments X

The pith

Supersymmetry extends axionic electrodynamics to include axino and photino interactions with vortex-like solutions.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper constructs a supersymmetric extension of axionic electrodynamics using the superspace and superfield approach. This produces a Lagrangian that incorporates interactions between the axion and photon along with their supersymmetric partners, the axino and photino. The model features quartic fermionic couplings, self-couplings, and a non-polynomial interaction term. Analysis of dispersion relations reveals effective masses, and computational solutions to the bosonic equations show field configurations resembling magnetic vortices. A sympathetic reader would care because this links supersymmetry with axion physics and topological structures that might appear in particle models or cosmology.

Core claim

By adopting the superspace/superfield approach, the authors construct a supersymmetric extension of axionic electrodynamics. In terms of component fields, the resulting Lagrangian describes the interactions among the axion, the photon, and their respective supersymmetric partners, the axino and the photino. The model exhibits quartic fermionic couplings and self-couplings, as well as a non-polynomial interaction involving the axino, the photino, and a scalar partner of the axion. Dispersion relations in both bosonic and fermionic sectors are analyzed to determine effective masses. Computational investigation of the bosonic field equations identifies a class of axionic and electromagnetic-eld

What carries the argument

The superspace/superfield formalism, which generates the supersymmetric Lagrangian including specific couplings and permits finding vortex-resembling solutions in the bosonic sector.

If this is right

  • The resulting model includes quartic fermionic and self-couplings among the particles.
  • A non-polynomial interaction term connects the axino, photino, and scalar axion partner.
  • Dispersion relations yield effective masses for bosons and fermions.
  • Bosonic field equations admit solutions with profiles like magnetic vortices.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • These vortex-like configurations could potentially relate to topological defects in early universe scenarios or analogous systems in condensed matter.
  • The presence of supersymmetric partners might influence searches for axions in astrophysical or laboratory settings.
  • Further numerical studies could test the stability of these field configurations under perturbations.

Load-bearing premise

That the superspace formalism applied to axionic electrodynamics produces a consistent supersymmetric theory with the specified couplings and vortex-like solutions.

What would settle it

Deriving the component field Lagrangian and finding it lacks the claimed quartic couplings or non-polynomial interaction, or solving the bosonic equations and not obtaining vortex-resembling profiles, would falsify the central construction.

read the original abstract

In this contribution, we construct a supersymmetric extension of axionic electrodynamics by adopting the superspace/superfield approach. In terms of component fields, the resulting Lagrangian describes the interactions among the axion, the photon, and their respective supersymmetric partners, the axino and the photino. The model exhibits quartic fermionic couplings and self-couplings, as well as a non-polynomial interaction involving the axino, the photino, and a scalar partner of the axion. We also pay special attention to the dispersion relations in both the bosonic and fermionic sectors, and analyze the effective masses of the different particles. Finally, with the help of computational methods, we investigate the solutions to the bosonic field equations. As a result, we identify a class of axionic and electromagnetic-field configurations whose profiles resemble magnetic vortices.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The paper constructs a supersymmetric extension of axionic electrodynamics via the superspace/superfield formalism. The resulting component Lagrangian encodes interactions among the axion, photon, axino, and photino, including quartic fermionic couplings, self-couplings, and a non-polynomial term involving the axino, photino, and the scalar partner of the axion. Dispersion relations and effective masses are analyzed in both bosonic and fermionic sectors. Computational methods are then applied to the bosonic field equations, yielding a class of axionic and electromagnetic configurations whose profiles resemble magnetic vortices.

Significance. If the superspace construction is internally consistent and the reported numerical profiles are confirmed to solve the full set of Euler-Lagrange equations, the work would provide a concrete supersymmetric completion of axionic electrodynamics with potential relevance to axion dark matter and topological defects. The explicit component-field Lagrangian and the dispersion/mass analysis constitute useful reference material for model-building in this area.

major comments (1)
  1. [Numerical investigation of bosonic field equations] Numerical investigation section: the reported vortex-like solutions are obtained from computational methods applied to the bosonic equations, yet no ansatz, discretization details, residual norm, or stability analysis is supplied to demonstrate that the profiles satisfy the complete nonlinear system derived from the supersymmetric Lagrangian (including the non-polynomial and quartic terms). This verification step is load-bearing for the claim that such configurations solve the model.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their detailed and constructive report. We address the major comment point by point below and indicate the revisions we plan to make to strengthen the manuscript.

read point-by-point responses

  1. Referee: Numerical investigation section: the reported vortex-like solutions are obtained from computational methods applied to the bosonic equations, yet no ansatz, discretization details, residual norm, or stability analysis is supplied to demonstrate that the profiles satisfy the complete nonlinear system derived from the supersymmetric Lagrangian (including the non-polynomial and quartic terms). This verification step is load-bearing for the claim that such configurations solve the model.

    Authors: We agree with the referee that additional details on the numerical methods are necessary to rigorously demonstrate that the reported configurations solve the full set of equations from the supersymmetric model. In the revised version of the manuscript, we will expand the numerical investigation section to include: (i) the explicit ansatz for the axionic and electromagnetic fields used to model the vortex-like profiles, (ii) the discretization approach and numerical solver employed, (iii) the residual norms computed to verify that the solutions satisfy the Euler-Lagrange equations derived from the complete Lagrangian, including any non-polynomial terms in the bosonic sector, and (iv) a discussion of the stability of these solutions under small perturbations. These additions will confirm the validity of the numerical results without altering the core findings. We note that the quartic terms mentioned are primarily in the fermionic sector and do not directly enter the bosonic equations, but we will clarify this in the revision. revision: yes

Circularity Check

0 steps flagged

No significant circularity in superspace construction or numerical solutions

full rationale

The paper applies the standard superspace/superfield formalism to prior axionic electrodynamics to derive the component Lagrangian, then directly computes dispersion relations, masses, and numerical solutions to the resulting bosonic equations. No derivation step reduces a result to a fitted input, self-definition, or load-bearing self-citation chain. The vortex-like configurations are obtained from computational investigation of the field equations without evidence that they are tautological by construction. The model extension remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 3 invented entities

The construction rests on the domain assumption that supersymmetry can be consistently imposed via superspace on axionic electrodynamics. No free parameters or new entities with independent evidence are stated; the axino, photino, and scalar partner are standard supersymmetric companions rather than novel postulates.

axioms (1)
  • domain assumption Supersymmetry can be consistently imposed on axionic electrodynamics via the superspace/superfield approach.
    Explicitly adopted in the abstract to construct the extension.
invented entities (3)
  • axino no independent evidence
    purpose: Fermionic supersymmetric partner of the axion
    Introduced as the superpartner in the component-field Lagrangian.
  • photino no independent evidence
    purpose: Fermionic supersymmetric partner of the photon
    Introduced as the superpartner in the component-field Lagrangian.
  • scalar partner of the axion no independent evidence
    purpose: Bosonic field appearing in the non-polynomial interaction term
    Required for the stated non-polynomial coupling with axino and photino.

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Reference graph

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