Supersymmetric Yang-Mills Theory and Riemannian Geometry
arXiv:hep-th/9704206 · doi:10.1016/S0550-3213(98)00013-3
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.
21 pages, LaTex, Added discussions and references, Final version for Nuclear Physics B
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