Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-07
Commun.Math.Phys. 205 (1999) 691-735
Physics
High Energy Physics
High Energy Physics - Theory
59 pages, harvmac b mode, four figures, some clarifications and references added
Scientific paper
10.1007/s002200050694
The correlation functions of supersymmetric gauge theories on a four-manifold X can sometimes be expressed in terms of topological invariants of X. We show how the existence of superconformal fixed points in the gauge theory can provide nontrivial information about four-manifold topology. In particular, in the example of gauge group SU(2) with one doublet hypermultiplet, we derive a theorem relating classical topological invariants such as the Euler character and signature to sum rules for Seiberg-Witten invariants.
Marino Marcos
Moore Gregory
Peradze Grigor
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