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arXiv · hep-th/9908082

Hyperkahler quotients and algebraic curves

Ulf Lindstrom·Martin Rocek·Rikard von Unge
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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.

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Ulf Lindstrom, Martin Rocek, Rikard von Unge. 1999-11-24. Hyperkahler quotients and algebraic curves. https://doi.org/10.1088/1126-6708%2F2000%2F01%2F022

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