Instanton Counting and Matrix Model
| dc.creator | Tai, Ta-Sheng | |
| dc.date | 2007-09-04 | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T11:19:04Z | |
| dc.date.available | 2026-07-07T11:19:04Z | |
| dc.description | 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. | |
| dc.description | 14 pages; v2: references added and typos fixed | |
| dc.identifier | https://arxiv.org/abs/0709.0432 | |
| dc.identifier | http://arxiv.org/abs/0709.0432 | |
| dc.identifier | Prog.Theor.Phys.119:165,2008 | |
| dc.identifier | doi:10.1143/PTP.119.165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193561 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Instanton Counting and Matrix Model | |
| dc.type | text |