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The Noncommutative Ward Metric

Authors
  • Lechtenfeld, Olaf
  • Maceda, Marco
Type
Published Article
Publication Date
Jun 02, 2010
Submission Date
Jan 20, 2010
Identifiers
DOI: 10.3842/SIGMA.2010.045
Source
arXiv
License
Unknown
External links

Abstract

We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP^1 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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