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Deforming SW curve
- Source :
- JHEP 1104:033,2011
- Publication Year :
- 2010
-
Abstract
- A system of Bethe-Ansatz type equations, which specify a unique array of Young tableau responsible for the leading contribution to the Nekrasov partition function in the $\epsilon_2\rightarrow 0$ limit is derived. It is shown that the prepotential with generic $\epsilon_1$ is directly related to the (rescaled by $\epsilon_1$) number of total boxes of these Young tableau. Moreover, all the expectation values of the chiral fields $\langle \tr \phi^J \rangle $ are simple symmetric functions of their column lengths. An entire function whose zeros are determined by the column lengths is introduced. It is shown that this function satisfies a functional equation, closely resembling Baxter's equation in 2d integrable models. This functional relation directly leads to a nice generalization of the equation defining Seiberg-Witten curve.<br />Comment: 14 pages
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- JHEP 1104:033,2011
- Publication Type :
- Report
- Accession number :
- edsarx.1006.4822
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP04(2011)033