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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 045, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.045 (Mi sigma502) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Noncommutative Ward Metric

O. Lechtenfeldab, M. Macedac

a Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany
b Centre for Quantum Engineering and Space-Time Research, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
c Departamento de Fisica, UAM-Iztapalapa, A.P. 55-534, C.P. 09340, México D.F., México
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DOI: https://doi.org/10.3842/SIGMA.2010.045
Abstract: 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.
Received: January 31, 2010; in final form May 27, 2010; Published online June 2, 2010
Bibliographic databases:
Document Type: Article
MSC: 46L55; 81R60; 81T75
Language: English
Citation: O. Lechtenfeld, M. Maceda, “The Noncommutative Ward Metric”, SIGMA, 6 (2010), 045, 14 pp.
Citation in format AMSBIB
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