Hyperkähler quotients and algebraic curves | Zendy

Ulf Lindström | Zendy; M. Roček | Zendy; Rikard von Unge | Zendy

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Hyperkähler quotients and algebraic curves

Author(s) -

Ulf Lindström,

M. Roček,

Rikard von Unge

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/01/022

Subject(s) - orbifold , quotient , mathematics , pure mathematics , algebraic curve , limit (mathematics) , moduli space , algebraic number , polynomial , unitary state , algebraic surface , space (punctuation) , algebraic cycle , algebra over a field , mathematical analysis , linguistics , philosophy , political science , law

We develop a graphical representation of polynomial invariants of unitarygauge groups, and use it to find the algebraic curve corresponding to ahyperkahler quotient of a linear space. We apply this method to fourdimensional ALE spaces, and for the A_k, D_k, and E_6 cases, derive theexplicit relation between the deformations of the curves away from the orbifoldlimit and the Fayet-Iliopoulos parameters in the corresponding quotientconstruction. We work out the orbifold limit of E_7, E_8, and some higherdimensional examples.Comment: Two typos corrected--Journal version; 23 pages, 13 figures, harvma

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