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The Noncommutative Ward Metric
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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The Noncommutative Ward Metric
Інший ID:
2010 Mathematics Subject Classification: 46L55; 81R60; 81T75
DOI:10.3842/SIGMA.2010.045
DOI:10.3842/SIGMA.2010.045
Посилання:
The Noncommutative Ward Metric / O. Lechtenfeld, M. Maceda // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
The authors acknowledge financial support from DAAD, Kennzif fer A/08/03929. O.L. is grateful for discussions with N. Dragon, H. Grosse, W. Nahm, C. Nash and E. Schrohe. In particular he thanks A. Fischer for discovering the relation to spheroidal wave functions and M. Rubey for support with his program FriCAS [18].
Дата:
2010
Переглядів:
457
Завантажень:
219
Анотація:
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.
