Electric Dipole Moments of Dyon and `Electron'

TL;DR

This paper calculates the electric and magnetic dipole moments of dyon fermions in N=2 supersymmetric Yang-Mills theory with a theta-term, predicting the electron's EDM via S-duality, revealing deviations from canonical gyroelectric ratios.

Contribution

It introduces a novel method to compute the electron's EDM induced by the theta-term using S-duality in supersymmetric gauge theory.

Findings

Gyroelectric ratio deviates from 2 when theta ≠ 0.

Explicit prediction for the electron EDM derived from dyon calculations.

Provides a new approach to compute EDMs in supersymmetric theories.

Abstract

The electric and magnetic dipole moments of dyon fermions are calculated within N=2 supersymmetric Yang-Mills theory including the theta-term. It is found, in particular, that the gyroelectric ratio deviates from the canonical value of 2 for the monopole fermion (n_m=1,n_e=0) in the case theta\not=0. Then, applying the S-duality transformation to the result for the dyon fermions, we obtain an explicit prediction for the electric dipole moment (EDM) of the charged fermion (`electron'). It is thus seen that the approach presented here provides a novel method for computing the EDM induced by the theta-term.