The Noncommutative Ward Metric
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 spec...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2010
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146312 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Noncommutative Ward Metric / O. Lechtenfeld, M. Maceda // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146312 |
|---|---|
| record_format |
dspace |
| spelling |
Lechtenfeld, O. Maceda, M. 2019-02-08T20:26:29Z 2019-02-08T20:26:29Z 2010 The Noncommutative Ward Metric / O. Lechtenfeld, M. Maceda // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L55; 81R60; 81T75 DOI:10.3842/SIGMA.2010.045 https://nasplib.isofts.kiev.ua/handle/123456789/146312 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. 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]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Noncommutative Ward Metric Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Noncommutative Ward Metric |
| spellingShingle |
The Noncommutative Ward Metric Lechtenfeld, O. Maceda, M. |
| title_short |
The Noncommutative Ward Metric |
| title_full |
The Noncommutative Ward Metric |
| title_fullStr |
The Noncommutative Ward Metric |
| title_full_unstemmed |
The Noncommutative Ward Metric |
| title_sort |
noncommutative ward metric |
| author |
Lechtenfeld, O. Maceda, M. |
| author_facet |
Lechtenfeld, O. Maceda, M. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146312 |
| citation_txt |
The Noncommutative Ward Metric / O. Lechtenfeld, M. Maceda // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. |
| work_keys_str_mv |
AT lechtenfeldo thenoncommutativewardmetric AT macedam thenoncommutativewardmetric AT lechtenfeldo noncommutativewardmetric AT macedam noncommutativewardmetric |
| first_indexed |
2025-12-07T20:56:18Z |
| last_indexed |
2025-12-07T20:56:18Z |
| _version_ |
1850884466454560768 |