English

The Conformal Hyperplet

High Energy Physics - Theory 2017-05-31 v2

Abstract

We introduce a finite off-shell hypermultiplet with no off-shell central charge. This requires 192+192 degrees of freedom, all but 8+8 of which are auxiliary or gauge. In the absence of supergravity, the model has a saddle-point vacuum instability implying ghost-like propagators. These are cured by realizing the model superconformally, such that the erstwhile ghosts are realized as compensators. Gauge fixing these links the physical hypermultiplets to supergravity. This evokes the prospect of realizing N=4{\cal N}=4 Super Yang-Mills theory off-shell.

Keywords

Cite

@article{arxiv.1610.07822,
  title  = {The Conformal Hyperplet},
  author = {Michael Faux},
  journal= {arXiv preprint arXiv:1610.07822},
  year   = {2017}
}

Comments

references added, typos repaired, small refinements to discussion, 56 pages

R2 v1 2026-06-22T16:30:51.180Z