Symplectic and hyperkahler implosion
Andrew Dancer, Brent Doran, Frances Kirwan, Andrew Swann
TL;DR
This paper reviews quiver descriptions of symplectic and hyperk"ahler implosion for SU(n) and extends some descriptions to other classical groups, discussing challenges in hyperk"ahler cases.
Contribution
Provides quiver descriptions of symplectic implosion for classical groups beyond SU(n) and discusses the complexities of hyperk"ahler implosion.
Findings
Quiver descriptions for symplectic implosion of classical groups.
Discussion of challenges in hyperk"ahler implosion descriptions.
Abstract
We review the quiver descriptions of symplectic and hyperk\"ahler implosion in the case of SU(n) actions. We give quiver descriptions of symplectic implosion for other classical groups, and discuss some of the issues involved in obtaining a similar description for hyperk\"ahler implosion.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Black Holes and Theoretical Physics