Supersymmetric Yang-Mills Theory and Riemannian Geometry

Details Supersymmetric Yang-Mills Theory and Riemannian Geometry Supersymmetric Yang-Mills Theory and Riemannian Geometry

1997-04-30

arxiv.org/abs/hep-th/9704206v2

Nucl.Phys. B517 (1998) 462-484

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTex, Added discussions and references, Final version for Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)00013-3

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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