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Noncommutative families of instantons

TitleNoncommutative families of instantons
Publication TypeJournal Article
Year of Publication2008
AuthorsLandi, G, Pagani, C, Reina, C, van Suijlekom, W
JournalInt. Math. Res. Not. vol. 2008, Article ID rnn038
Abstract

We construct $\\\\theta$-deformations of the classical groups SL(2,H) and Sp(2). Coacting on the basic instanton on a noncommutative four-sphere $S^4_\\\\theta$, we construct a noncommutative family of instantons of charge 1. The family is parametrized by the quantum quotient of $SL_\\\\theta(2,H)$ by $Sp_\\\\theta(2)$.

URLhttp://hdl.handle.net/1963/3417
DOI10.1093/imrn/rnn038

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