SUSY vs E8 Gauge Theory in 11 Dimensions

Details SUSY vs E8 Gauge Theory in 11 Dimensions SUSY vs E8 Gauge Theory in 11 Dimensions

2002-10-10

arxiv.org/abs/hep-th/0210090v1

JHEP 0305 (2003) 048

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures

Scientific paper

10.1088/1126-6708/2003/05/048

Diaconescu, Moore and Witten have shown that the topological part of the M-theory partition function is an invariant of an E8 gauge bundle over the 11-dimensional bulk. This presents a puzzle as an 11d gauge theory cannot exhibit linearly realized supersymmetry. One possibility is that the gauge theory is nonsupersymmetric and flows to 11d SUGRA only in the infrared, with SUSY arising as a low energy accidental degeneracy. Although no such gauge theory has been constructed, any such construction must satisfy a number of constraints in order to correctly reproduce the known 10-dimensional physics on each boundary component. We analyze these constraints and in particular use them to attempt an approximate construction of the 11d gravitino as a condensate of the gauge theory fields.

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