Noncommutative families of instantons

Details Noncommutative families of instantons Noncommutative families of instantons

2007-10-03

arxiv.org/abs/0710.0721v2

International Mathematics Research Notices, Vol. 2008, Article ID rnn038, 32 pages

Mathematics

Quantum Algebra

v2: Minor changes; computation of the pairing at the end of Sect. 5.1 improved

Scientific paper

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 $Sp_\theta(2)$.

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