The Conformal Hyperplet

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 $\mathcal{N}=4$ Super Yang-Mills theory off-shell.

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

References in corpus (2)

• Refining the classification of the irreps of the 1D N-Extended Supersymmetry
• On General Off-Shell Representations of Worldline (1D) Supersymmetry

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