Hyperkahler quotients and algebraic curves
High Energy Physics - Theory
2009-10-31 v3 Algebraic Geometry
Differential Geometry
Abstract
We develop a graphical representation of polynomial invariants of unitary gauge groups, and use it to find the algebraic curve corresponding to a hyperkahler quotient of a linear space. We apply this method to four dimensional ALE spaces, and for the A_k, D_k, and E_6 cases, derive the explicit relation between the deformations of the curves away from the orbifold limit and the Fayet-Iliopoulos parameters in the corresponding quotient construction. We work out the orbifold limit of E_7, E_8, and some higher dimensional examples.
Cite
@article{arxiv.hep-th/9908082,
title = {Hyperkahler quotients and algebraic curves},
author = {Ulf Lindstrom and Martin Rocek and Rikard von Unge},
journal= {arXiv preprint arXiv:hep-th/9908082},
year = {2009}
}
Comments
Two typos corrected--Journal version; 23 pages, 13 figures, harvmac