Testing S-duality conjecture and exceptional bundles

Details Testing S-duality conjecture and exceptional bundles Testing S-duality conjecture and exceptional bundles

1997-03-27

arxiv.org/abs/alg-geom/9703034v1

Mathematics

Algebraic Geometry

LaTeX v2.09, 14 pages

Scientific paper

In this paper we deal with algebro-geometrical problems connected with testing S-duality conjecture for super-symmetric Yang-Mills quantum field theories in four dimensions. We describe all field configurations such that beta function coefficient for gauge groups of rank 1 and 2 is zero or negative. We also give special series of such field configurations for gauge groups of an arbitrary rank. Realization of one of the series discovers a connection with exceptional bundles. That points again at relation between S-duality and string duality.

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