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NCG

Seminar

Twisted conformal symmetry and instantons

Landi, G (Trieste)
Thursday 21 September 2006, 15:00-16:00

Seminar Room 2, Newton Institute Gatehouse

Abstract

We construct a five-parameter family of gauge-nonequivalent SU(2) instantons on a noncommutative four sphere and of topological charge equal to 1. These instantons are critical points of a gauge functional and satisfy self-duality equations with respect to a Hodge star operator on forms. They are obtained by acting with a twisted conformal symmetry on a basic instanton canonically associated with a noncommutative instanton bundle on the sphere. A completeness argument for this family is obtained by means of index theorems. The dimension of the ``tangent space'' to the moduli space is computed as the index of a twisted Dirac operator and turns out to be equal to five.

Presentation

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