TL;DR
This paper constructs a supersymmetric Yang-Mills theory in (11,3) dimensions using null vectors, explores dimensional reductions to known models, and discusses potential superbrane interpretations.
Contribution
It introduces a novel (11,3) dimensional super Yang-Mills model using null vectors and explores its reductions and implications for superbrane theories.
Findings
Constructed a supersymmetric Yang-Mills system in (11,3) dimensions.
Demonstrated null reduction yields the (10,2) super Yang-Mills model.
Obtained an (8,8) supersymmetric model in (3,3) dimensions.
Abstract
A supersymmetric Yang-Mills system in (11,3) dimensions is constructed with the aid of two mutually orthogonal null vectors which naturally arise in a generalized spacetime superalgebra. An obstacle encountered in an attempt to extend this result to beyond 14 dimensions is described. A null reduction of the (11,3) model is shown to yield the known super Yang-Mills model in (10,2) dimensions. An (8,8) supersymmetric super Yang-Mills system in (3,3) dimensions is obtained by an ordinary dimensional reduction of the (11,3) model, and it is suggested there may exist a superbrane with (3,3) dimensional worldvolume propagating in (11,3) dimensions.
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.