Spectral Curves for the Triple Reduced Product of Coadjoint Orbits for SU(3)
2018 ◽
pp. 611-622
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Keyword(s):
This chapter gives an identification of the triple reduced product of three coadjoint orbits in SU(3) with a space of Hitchin pairs over a genus zero curve with three punctures, where the residues of the Higgs field at the punctures are constrained to lie in fixed coadjoint orbits. Using spectral curves for the corresponding Hitchin system, the chapter identifies the moment map for a Hamiltonian circle action on the reduced product. Finally, the chapter makes use of results from Adams, Harnad and Hurtubise to find Darboux coordinates and a differential equation for the Hamiltonian.
Keyword(s):
1994 ◽
Vol 121
(4)
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pp. 1295-1295
Keyword(s):
2020 ◽
Vol 16
(1)
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pp. 13-23