Solutions to axion electrodynamics with electric-magnetic duality in supersymmetric Seiberg-Witten theory

TL;DR

This paper investigates solutions to non-linear axion electrodynamics derived from supersymmetric Seiberg-Witten theory, analyzing axion-photon couplings and proposing detection strategies using LC circuits.

Contribution

It provides analytical and numerical solutions to axion Maxwell equations within the SW axion model and suggests experimental detection methods for axion-photon interactions.

Findings

Analytical solutions for axion-induced electromagnetic fields.

Numerical computation of observable axion effects.

Proposed detection strategy with LC circuits and sensitivity estimates.

Abstract

Axion and magnetic monopole are among the most fascinating candidates for physics beyond the Standard Model. The potential connection between axion and magnetic monopole stems from the Witten effect and is revealed by non-standard axion electrodynamics. Non-standard axion electrodynamics under electric-magnetic duality modifies conventional axion Maxwell equations and motivates intriguing axion-photon phenomenology. A calculable ultraviolet model of Peccei-Quinn axion coupled to magnetic monopoles and electric charges was proposed based on $\mathcal{N}=2$ supersymmetric Seiberg-Witten (SW) theory with manifest electric-magnetic duality. In this work, we aim to investigate the solutions to the non-linear axion electrodynamics from SW axion model and propose relevant detection strategies for non-trivial axion-photon couplings. Based on the infrared Lagrangian of SW axion, we derive the electromagetic (EM) equations of motion. We also analyze the moduli space coordinate in SW theory and find out the reliabe parameter space. We then solve the resultant axion Maxwell equations with an external EM field. The observable axion-induced EM fields are obtained analytically and then numerically computed. Finally, we propose the detection strategy with an LC circuit and show the prospective sensitivity to SW axion-photon couplings.