Instantons and Donaldson-Thomas invariants

Michele Cirafici; Annamaria Sinkovics; Richard J. Szabo

doi:10.1002/prop.200810544

Instantons and Donaldson-Thomas invariants

Michele Cirafici, Annamaria Sinkovics, Richard J. Szabo

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	849-855
Number of pages	7
Journal	Fortschritte der Physik
Volume	56
Issue number	7-9
DOIs	https://doi.org/10.1002/prop.200810544
Publication status	Published - Aug 2008

Keywords

Donaldson-Thomas invariants
Noncommutative field theory
Topological quantum field theory

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10.1002/prop.200810544

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AU - Sinkovics, Annamaria

AU - Szabo, Richard J.

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KW - Donaldson-Thomas invariants

KW - Noncommutative field theory

KW - Topological quantum field theory

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JO - Fortschritte der Physik

JF - Fortschritte der Physik

IS - 7-9

ER -

Instantons and Donaldson-Thomas invariants

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Keywords

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