Instantons and Donaldson-Thomas Invariants
High Energy Physics - Theory
2008-11-26 v1 Algebraic Geometry
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.
Cite
@article{arxiv.0804.1087,
title = {Instantons and Donaldson-Thomas Invariants},
author = {Michele Cirafici and Annamaria Sinkovics and Richard J. Szabo},
journal= {arXiv preprint arXiv:0804.1087},
year = {2008}
}
Comments
7 pages, To appear in the proceedings of the RTN workshop "ForcesUniverse", Valencia, October 1-5 2007