Instanton Counting and Matrix Model

Details Instanton Counting and Matrix Model Instanton Counting and Matrix Model

2007-09-04

arxiv.org/abs/0709.0432v2

Prog.Theor.Phys.119:165,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages; v2: references added and typos fixed

Scientific paper

10.1143/PTP.119.165

We construct an Imbimbo-Mukhi type matrix model, which reproduces exactly the partition function of ${\mathbb{CP}^1}$ topological strings in the small phase space, Nekrasov's instanton counting in ${\cal{N}}=2$ gauge theory and the large $N$ limit of the partition function in 2-dimensional Yang-Mills theory on a sphere. In addition, we propose a dual Stieltjes-Wigert type matrix model, which emerges when all-genus topological string amplitudes on certain simple toric Calabi-Yau manifolds are compared with the Imbimbo-Mukhi type model.

Affiliated with

Also associated with

No associations

Rating

Instanton Counting and Matrix Model 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 Instanton Counting and Matrix Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instanton Counting and Matrix Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-414628