We give a mathematically rigorous proof of Nekrasov's conjecture: the
integration in the equivariant cohomology over the moduli spaces of instantons
on $\mathbb R^4$ gives a deformation of the Seiberg-Witten prepotential for N=2
SUSY Yang-Mills theory. Through a study of moduli spaces on the blowup of
$\mathbb R^4$, we derive a differential equation for the Nekrasov's partition
function. It is a deformation of the equation for the Seiberg-Witten
prepotential, found by Losev et al., and further studied by Gorsky et al.
Publié le : 2003-06-12
Classification:
Mathematics - Algebraic Geometry,
High Energy Physics - Theory,
Mathematical Physics,
Primary 14D21,
Secondary 57R57, 81T13, 81T60
@article{0306198,
author = {Nakajima, Hiraku and Yoshioka, Kota},
title = {Instanton counting on blowup. I. 4-dimensional pure gauge theory},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0306198}
}
Nakajima, Hiraku; Yoshioka, Kota. Instanton counting on blowup. I. 4-dimensional pure gauge theory. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306198/