Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-04-21
Phys.Rev. D73 (2006) 046006
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 5 figures, LaTeX2e, typos corrected, references added, Final version to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.73.046006
We consider the effective topological field theory on Euclidean D-strings wrapping on a 2-cycle in the internal space. We evaluate the vev of a suitable operator corresponding to the chemical potential of vortices bounded to the D-strings, and find that it reduces to the partition function of generalized two-dimensional Yang-Mills theory as a result of localization. We argue that the partition function gives a grand canonical ensemble of multi-instanton corrections for four-dimensional N=2 gauge theory in a suitable large N limit. We find two-dimensional gauge theories that provide the instanton partition function for four-dimensional N=2 theories with the hypermultiplets in the adjoint and fundamental representations. We also propose a partition function that gives the instanton contributions to four-dimensional N=2 quiver gauge theory. We discuss the relation between Nekrasov's instanton partition function and the Dijkgraaf-Vafa theory in terms of large N phase transitions of the generalized two-dimensional Yang-Mills theory.
Matsuura So
Ohta Kazutoshi
No associations
LandOfFree
Localization on the D-brane, two-dimensional gauge theory and matrix models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Localization on the D-brane, two-dimensional gauge theory and matrix models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization on the D-brane, two-dimensional gauge theory and matrix models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-315349