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arXiv · hep-th/9704206

Supersymmetric Yang-Mills Theory and Riemannian Geometry

Ricardo Schiappa
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Abstract

We introduce new local gauge invariant variables for N=1 supersymmetric Yang-Mills theory, explicitly parameterizing the physical Hilbert space of the theory. We show that these gauge invariant variables have a geometrical interpretation, and can be constructed such that the emergent geometry is that of N=1 supergravity: a Riemannian geometry with vector-spinor generated torsion. Full geometrization of supersymmetric Yang-Mills theory is carried out, and geometry independent divergences associated to the inversion of a differential operator with zero modes -- that were encountered in the non-supersymmetric case -- do not arise in this situation.

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Ricardo Schiappa. 1998-01-12. Supersymmetric Yang-Mills Theory and Riemannian Geometry. https://doi.org/10.1016/s0550-3213(98)00013-3

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