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arXiv 2010-01-20 DOI 10.3842/SIGMA.2010.045 0 views

The Noncommutative Ward Metric

Lechtenfeld, Olaf · Maceda, Marco

Original · EN

We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP¹ sigma model in 1+2 dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative K"ahler 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.

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