Supersymmetry in gauge theories with extra dimensions
C. S. Lim, Tomoaki Nagasawa, Makoto Sakamoto, Hidenori Sonoda
TL;DR
This paper reveals a hidden N=2 supersymmetry in the mass spectrum of gauge theories with extra dimensions, providing explicit supercharges and analyzing boundary conditions for 5d gauge invariance.
Contribution
It demonstrates the existence of a hidden supersymmetry in gauge theories with extra dimensions and constructs explicit supercharges using differential forms.
Findings
Hidden N=2 supersymmetry in 4d mass spectrum
Explicit construction of supercharges
Boundary conditions compatible with 5d gauge invariance
Abstract
We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be extended to extra dimensions with boundaries, and for a single extra dimension we clarify a possible set of boundary conditions consistent with 5d gauge invariance, although some of the boundary conditions break 4d gauge symmetries.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.