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arXiv · 1103.2730

Maximal supergravity in three dimensions: supergeometry and differential forms

J. Greitz·P. S. Howe
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Abstract

The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing further constraints. It is essentially a non-linear sigma model that induces a Poincaré supergeometry that is described in detail. The possible $p$-form field strengths, for $p=2,3,4$, are explicitly constructed using supersymmetry and $E_8$. The gauged theory is also discussed.

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J. Greitz, P. S. Howe. 2011-04-24. Maximal supergravity in three dimensions: supergeometry and differential forms. https://doi.org/10.1007/jhep07(2011)071

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