Fundamental supermultiplet in twelve dimensions

Thomas Curtright

doi:10.3389/fphy.2018.00137

Fundamental supermultiplet in twelve dimensions

Thomas Curtright

Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We discuss a set of local fields which provide the on-shell massless states expected for the fundamental linear representation of supersymmetry in twelve dimensions. We recover the states of the anticipated N = 16, S = 4, massless supermultiplet upon reduction to four dimensions. Using algebraic methods, we also construct ghost arrays which permit the covariant quantization of each of the gauge fields in the set.

Original language	English (US)
Article number	137
Journal	Frontiers in Physics
Volume	6
Issue number	DEC
DOIs	https://doi.org/10.3389/fphy.2018.00137
State	Published - Dec 11 2018

Keywords

Generalized gauge theory
Ghosts and antighosts
High spin
Supergravity
Supersymmetry

ASJC Scopus subject areas

Biophysics
Materials Science (miscellaneous)
Mathematical Physics
Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.3389/fphy.2018.00137

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keywords = "Generalized gauge theory, Ghosts and antighosts, High spin, Supergravity, Supersymmetry",

author = "Thomas Curtright",

note = "Funding Information: I thank Professor P. Ramond for several discussions about higher dimensional supermultiplets. This work was supported in part by the Department of Energy, under contract number DSR80136je7",

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AB - We discuss a set of local fields which provide the on-shell massless states expected for the fundamental linear representation of supersymmetry in twelve dimensions. We recover the states of the anticipated N = 16, S = 4, massless supermultiplet upon reduction to four dimensions. Using algebraic methods, we also construct ghost arrays which permit the covariant quantization of each of the gauge fields in the set.

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