Abstract:
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. A short account of this paper can be found in [1].
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Received: 19 December 1998 / Accepted: 7 March 1999
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Mariño, M., Moore, G. & Peradze, G. Superconformal Invariance and the Geography¶of Four-Manifolds. Comm Math Phys 205, 691–735 (1999). https://doi.org/10.1007/s002200050694
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DOI: https://doi.org/10.1007/s002200050694