Details
| Original language | English |
|---|---|
| Article number | 045 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 6 |
| Publication status | Published - 2010 |
Abstract
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 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
- CP sigma model, Noncommutative geometry
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Mathematical Physics
- Mathematics(all)
- Geometry and Topology
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In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 6, 045, 2010.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - The noncommutative ward metric
AU - Lechtenfeld, Olaf
AU - Maceda, Marco
N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - 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 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.
AB - 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 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.
KW - CP sigma model
KW - Noncommutative geometry
UR - http://www.scopus.com/inward/record.url?scp=84896062323&partnerID=8YFLogxK
U2 - 10.3842/SIGMA.2010.045
DO - 10.3842/SIGMA.2010.045
M3 - Review article
AN - SCOPUS:84896062323
VL - 6
JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
SN - 1815-0659
M1 - 045
ER -