Supersymmetric Index In FourDimensional Gauge Theories
Abstract
This paper is devoted to a systematic discussion of the supersymmetric index Tr (1)^F for the minimal supersymmetric YangMills theory  with any simple gauge group G  primarily in four spacetime dimensions. The index has refinements that probe confinement and oblique confinement and the possible spontaneous breaking of chiral symmetry and of global symmetries, such as charge conjugation, that are derived from outer automorphisms of the gauge group. Predictions for the index and its refinements are obtained on the basis of standard hypotheses about the infrared behavior of gauge theories. The predictions are confirmed via microscopic calculations which involve a BornOppenheimer computation of the spectrum as well as mathematical formulas involving triples of commuting elements of G and the ChernSimons invariants of flat bundles on the threetorus.
 Publication:

arXiv eprints
 Pub Date:
 June 2000
 arXiv:
 arXiv:hepth/0006010
 Bibcode:
 2000hep.th....6010W
 Keywords:

 High Energy Physics  Theory
 EPrint:
 66 pp