Topological Euclidean gravity is built in eight dimensions for manifolds with Spin(7) subset of 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.
Supergravity and the knitting of the Kalb-Ramond two-form in eight-dimensional topological gravity / Baulieu, L.; Bellon, M.; Tanzini, A.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 565:1-4(2003), pp. 211-221. [10.1016/S0370-2693(03)00759-7]
Supergravity and the knitting of the Kalb-Ramond two-form in eight-dimensional topological gravity
Tanzini, A.
2003-01-01
Abstract
Topological Euclidean gravity is built in eight dimensions for manifolds with Spin(7) subset of 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.File | Dimensione | Formato | |
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