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The Noncommutative Ward Metric
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed $\mathbb CP^1$ sigma model in $1+2$ dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative Kähler potential is expanded in powers of dimensionless moduli. In two special cases we sum the perturbative series to analytic expressions. For any nonzero value of the noncommutativity parameter, the logarithmic singularity of the commutative metric is expelled from the origin of the moduli space and possibly altogether.
Keywords: noncommutative geometry; $\mathbb C P^1$ sigma model. 
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     author = {O. Lechtenfeld and M. Maceda},
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O. Lechtenfeld; M. Maceda. The Noncommutative Ward Metric. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a44/

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