Topological twisting of conformal supercharges

Details Topological twisting of conformal supercharges Topological twisting of conformal supercharges

2006-10-13

arxiv.org/abs/hep-th/0610159v3

Nucl.Phys.B776:405-430,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+33 pages; references added, an address changed

Scientific paper

10.1016/j.nuclphysb.2007.04.008

Putting a twisted version of N=4 super Yang-Mills on a curved four-dimensional manifold generically breaks all conformal supersymmetries. In the special case where the four-manifold is a cone, we show that exactly two conformal supercharges remain unbroken. We construct an off-shell formulation of the theory such that the two unbroken conformal supercharges combine into a family of topological charges parameterized by CP^1. The resulting theory is topological in the sense that it is independent of the metric on the three-dimensional base of the cone.

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