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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, WD
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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