AUTHOR=Curtright Thomas 

TITLE=Fundamental Supermultiplet in Twelve Dimensions

JOURNAL=Frontiers in Physics

VOLUME=6

YEAR=2018

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2018.00137

DOI=10.3389/fphy.2018.00137

ISSN=2296-424X

ABSTRACT=<p>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 <italic>N</italic> = 16, <italic>S</italic> = 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.</p>