Calorons, Nahm's equations on S^1 and bundles over P^1xP^1
Differential Geometry
2008-11-26 v1 Algebraic Geometry
Abstract
The moduli space of solutions to Nahm's equations of rank (k,k+j) on the circle, and hence, of SU(2) calorons of charge (k,j), is shown to be equivalent to the moduli of holomorphic rank 2 bundles on P^1xP^1 trivialized at infinity with c_2=k and equipped with a flag of degree j along P^1x{0}. An explicit matrix description of these spaces is given by a monad construction
Keywords
Cite
@article{arxiv.math/0610804,
title = {Calorons, Nahm's equations on S^1 and bundles over P^1xP^1},
author = {Benoit Charbonneau and Jacques Hurtubise},
journal= {arXiv preprint arXiv:math/0610804},
year = {2008}
}