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

Abstract

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.

arXiv comment17 pages

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Cited by in corpus (5)

• Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds
• Charged branes interactions via Kalb-Ramond field
• Symmetries and observables in topological gravity
• The Noncommutative U(N) Kalb-Ramond Theory
• Gravitational Topological Quantum Field Theory Versus N = 2 D = 8 Supergravity and its lift to N = 1 D = 11 Supergravity