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.
Highlights
Nahm [1] has established that all linear representations of supersymmetry in D > 11 dimensions will give rise to fields with spins greater than two when reduced to four dimensions
A set of local fields which realize supergravity when D = 11 is well-known from the seminal work of Cremmer et al [2]
Increasing the dimension raises the number of physical degrees of freedom from 256, for D = 11, to 65536, for D = 12, and raises the maximum “helicity” content from S = 2, for D = 11, to S = 4, for D = 12
Summary
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. We construct ghost arrays which permit the covariant quantization of each of the gauge fields in the set. Reviewed by: Ioannis Papadimitriou, Korea Institute for Advanced Study, South Korea Zhenbin Wu, University of Illinois at Chicago, United States
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