English

Electric-magnetic duality implies (global) conformal invariance

High Energy Physics - Theory 2015-09-30 v2

Abstract

We have examined quantum theories of electric magnetic duality invariant vector fields enjoying classical conformal invariance in 4-dimensional flat spacetime. We extend Dirac's argument about "the conditions for a quantum field theory to be relativistic" to "those for a quantum theory to be conformal". We realize that electric magnetic duality invariant vector theories together with classical conformal invariance defined in 4-dd flat spacetime are still conformally invariant theories when they are quantized in a way that electric magnetic duality is manifest.

Keywords

Cite

@article{arxiv.1405.4934,
  title  = {Electric-magnetic duality implies (global) conformal invariance},
  author = {Sung-Pil Moon and Sang-Jin Lee and Ji-Hye Lee and Jae-Hyuk Oh},
  journal= {arXiv preprint arXiv:1405.4934},
  year   = {2015}
}

Comments

1+7 pages, a few typos are corrected

R2 v1 2026-06-22T04:18:31.092Z