On the Ubiquity Of Electromagnetic-Duality Rotations in 4D, N=\mathcal N = 1 Holoraumy Tensors for On-Shell 4D Supermultiplets

Jun 7, 2019
20 pages
Published in:
  • Int.J.Mod.Phys.A 35 (2020) 01, 2050008
  • Published: Feb 4, 2020
e-Print:
Report number:
  • Brown University Preprint HET-1789

Citations per year

202020212022102
Abstract: (WSP)
Holoraumy is a tool being developed for dimensional enhancement (supersymmetry holography) where the goal is to build higher-dimensional supersymmetric multiplets from lower-dimensional supersymmetric multiplets. In this paper, for the first time we investigate holoraumy for on-shell supersymmetry. Specifically, the holoraumy tensors for a number of familiar 4D, 𝒩 = 1 multiplets are calculated. It is shown in all of these cases of on-shell theories, the holoraumy is of the form of an electromagnetic duality charge multiplying a composite transformation involving an electromagnetic duality rotation through an angle of π/2 times a space–time translation. The details of our calculations can be found at the HEPTHools Data Repository.
Note:
  • Latex twice, 21 pages, final version includes one additional reference, teo citation correction, and 2-form clarifying language, link to the HEPTHools Data Repository included
  • 11.30.Pb
  • 12.60.Jv
  • super gauge theories
  • supergravity
  • off-shell
  • Supersymmetry
  • supersymmetry: 1
  • multiplet
  • rotation
  • electromagnetic field: duality