Octonions and supersymmetry in three dimensions

Details Octonions and supersymmetry in three dimensions Octonions and supersymmetry in three dimensions

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cqgra..25s5003n&link_type=abstract

Classical and Quantum Gravity, Volume 25, Issue 19, pp. 195003 (2008).

Physics

1

Scientific paper

We present two N = 1 locally supersymmetric σ-models in 3D with the seven- and eight-dimensional target spaces with the reduced G2 and Spin(7) holonomies instead of the maximal SO(7) and SO(8), respectively. It turns out that particular Wess Zumino Novikov Witten-like terms are possible with the octonion structure constant for these σ-models. As a by-product, we show that a new N = 7 vector multiplet also exists in 3D with non-trivial interactions with the octonion structure constant. A non-trivial solution for the interacting vectorial field is also given.

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