Deforming Seiberg-Witten curve
R. Poghosyan
roma2
Mon, Oct. 04th 2010, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
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 number of total boxes of these Young tableau. Moreover, all the expectation values of the chiral fields $\langle \mathrm{tr}( \phi^J )\rangle$ 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 T-Q equation in 2d integrable models. This functional relation directly leads to a nice generalization of the equation defining Seiberg-Witten curve.
Contact : Francois DAVID