Noncommutative families of instantons
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We construct $θ$-deformations of the classical groups SL(2,H) and Sp(2). Coacting on the basic instanton on a noncommutative four-sphere $S^4_θ$, we construct a noncommutative family of instantons of charge 1. The family is parametrized by the quantum quotient of $SL_θ(2,H)$ by $Sp_θ(2)$.
v2: Minor changes; computation of the pairing at the end of Sect. 5.1 improved
v2: Minor changes; computation of the pairing at the end of Sect. 5.1 improved