Journal of the Ramanujan Mathematical Society

Volume 28A, Issue SPL, July – Special Issue 2013 pp. 81–122.

Implosions and hypertoric geometry

Authors: Andrew Dancer, Frances Kirwan and Andrew Swann
Author institution: Department of Mathematics, Aarhus University, Ny Munkegade 118, Bldg 1530, DK-8000 Aarhus C, Denmark, and CP3-Origins, Centre of Excellence for Cosmology and Particle Physics Phenomenology, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

Summary: The geometry of the universal hyperkähler implosion for SU(n) is explored. In particular, we show that the universal hyperkähler implosion naturally contains a hypertoric variety described in terms of quivers. Furthermore, we discuss a gauge theoretic approach to hyperkähler implosion.

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