A topological theory for Euclidean gravity in eight dimensions can be built by enforcing octonionic self-duality conditions on the spin connection. The eight-dimensional manifold must be of a special type, with G(2) subset of Spin(7) subset of SO(8) holonomy. The resulting theory is related to a twisted version of N = 1, D = 8 supergravity. The situation is comparable to that of the topological Yang-Mills theory in eight dimensions, for which the SO(8) invariance is broken down to Spin(7). but is recovered after untwisting the topological theory.
Eight-dimensional topological gravity and its correspondence with supergravity / Baulieu, L.; Bellon, M.; Tanzini, A.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 543:3-4(2002), pp. 291-295. [10.1016/S0370-2693(02)02451-6]
Eight-dimensional topological gravity and its correspondence with supergravity
Tanzini, A.
2002-01-01
Abstract
A topological theory for Euclidean gravity in eight dimensions can be built by enforcing octonionic self-duality conditions on the spin connection. The eight-dimensional manifold must be of a special type, with G(2) subset of Spin(7) subset of SO(8) holonomy. The resulting theory is related to a twisted version of N = 1, D = 8 supergravity. The situation is comparable to that of the topological Yang-Mills theory in eight dimensions, for which the SO(8) invariance is broken down to Spin(7). but is recovered after untwisting the topological theory.| File | Dimensione | Formato | |
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