Four-dimensional topological Einstein-Maxwell gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Published version. Expanded discussion of new results in the introduction and some clarifying remarks added in later sections.

Scientific paper

10.1088/0264-9381/20/11/309

The complete on-shell action of topological Einstein-Maxwell gravity in four-dimensions is presented. It is shown explicitly how this theory for SU(2) holonomy manifolds arises from four-dimensional Euclidean N=2 supergravity. The twisted local BRST symmetries and twisted local Lorentz symmetries are given and the action and stress tensor are shown to be BRST-exact. A set of BRST-invariant topological operators is given. The vector and antisymmetric tensor twisted supersymmetries and their algebra are also found.

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