Hyperkahler quotients and algebraic curves

Details Hyperkahler quotients and algebraic curves Hyperkahler quotients and algebraic curves

1999-08-11

arxiv.org/abs/hep-th/9908082v3

JHEP 0001 (2000) 022

Physics

High Energy Physics

High Energy Physics - Theory

Two typos corrected--Journal version; 23 pages, 13 figures, harvmac

Scientific paper

10.1088/1126-6708/2000/01/022

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.

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