Supergravity and the Knitting of the Kalb--Ramond Two-Form in Eight-Dimensional Topological Gravity

Details Supergravity and the Knitting of the Kalb--Ramond Two-Form in Eight-Dimensional Topological Gravity Supergravity and the Knitting of the Kalb--Ramond Two-Form in Eight-Dimensional Topological Gravity

2003-03-19

arxiv.org/abs/hep-th/0303165v1

Phys.Lett. B565 (2003) 211-221

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1016/S0370-2693(03)00759-7

Topological euclidean gravity is built in eight dimensions for manifolds with $Spin(7) \subset SO(8)$ holonomy. In a previous work, we considered the construction of an eight-dimensional topological theory describing the graviton and one graviphoton. Here we solve the question of determining a topological model for the combined system of a metric and a Kalb--Ramond two-form gauge field. We then recover the complete $N=1, D=8$ supergravity theory in a twisted form. We observe that the generalized self-duality conditions of our model correspond to the octonionic string equations.

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