Multi-instanton calculus and equivariant cohomology

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Published 10 June 2003 • Published under licence by IOP Publishing Ltd
, , Citation Ugo Bruzzo et al JHEP05(2003)054 DOI 10.1088/1126-6708/2003/05/054

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1 Scuola Internazionale Superiore di Studi Avanzati, I.N.F.N. Sez. di Trieste, Via Beirut 4, 34013 Trieste, Italy

2 Dipartimento di Fisica, Universitá di Roma ``Tor Vergata'', I.N.F.N. Sezione di Roma II, Via della Ricerca Scientifica, 00133 Roma, Italy

3 Spinoza Institute, Utrecht, The Netherlands

4 Laboratori Nazionali di Frascati, P.O. Box, 00044 Frascati, Italy

5 Laboratoire de Physique Théorique et Hautes Energies, Université Paris VI, 4 Place Jussieu 75252 Paris Cedex 05, France

Dates

  1. Received 4 April 2003
  2. Accepted 21 May 2003
  3. Published

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1126-6708/2003/05/054

Abstract

We present a systematic derivation of multi-instanton amplitudes in terms of ADHM equivariant cohomology. The results rely on a supersymmetric formulation of the localization formula for equivariant forms. We examine the cases of Script N = 4 and Script N = 2 gauge theories with adjoint and fundamental matter.

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10.1088/1126-6708/2003/05/054