Instantons and Donaldson-Thomas invariants

Michele Cirafici, Annamaria Sinkovics, Richard J. Szabo

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We review some recent progress in understanding the relation between a six dimensional topological Yang-Mills theory and the enumerative geometry of Calabi-Yau threefolds. The gauge theory localizes on generalized instanton solutions and is conjecturally equivalent to Donaldson-Thomas theory. We evaluate the partition function of the U(N) theory in its Coulomb branch on flat space by employing equivariant localization techniques on its noncommutative deformation. Geometrically this corresponds to a higher dimensional generalization of the ADHM formalism. This formalism can be extended to a generic toric Calabi-Yau. © 2008 Wiley-VCH Verlag GmbH & Co. KGaA.

Original languageEnglish
Pages (from-to)849-855
Number of pages7
JournalFortschritte der Physik
Volume56
Issue number7-9
DOIs
Publication statusPublished - Aug 2008

Keywords

  • Donaldson-Thomas invariants
  • Noncommutative field theory
  • Topological quantum field theory

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