Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model
We study a noncommutative gauge theory on a fuzzy four-sphere. The idea is to use a matrix model with a fifth-rank Chern-Simons term and to expand matrices around the fuzzy four-sphere which corresponds to a classical solution of this model. We need extra degrees of freedom since algebra of coordina...
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| Online Access: | https://dx.doi.org/10.48550/arxiv.hep-th/0204256 https://arxiv.org/abs/hep-th/0204256 |
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ftdatacite:10.48550/arxiv.hep-th/0204256 2023-05-15T17:39:50+02:00 Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model Kimura, Yusuke 2002 https://dx.doi.org/10.48550/arxiv.hep-th/0204256 https://arxiv.org/abs/hep-th/0204256 unknown arXiv https://dx.doi.org/10.1016/s0550-3213(02)00469-8 Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ High Energy Physics - Theory hep-th FOS Physical sciences article-journal Article ScholarlyArticle Text 2002 ftdatacite https://doi.org/10.48550/arxiv.hep-th/0204256 https://doi.org/10.1016/s0550-3213(02)00469-8 2022-04-01T16:49:48Z We study a noncommutative gauge theory on a fuzzy four-sphere. The idea is to use a matrix model with a fifth-rank Chern-Simons term and to expand matrices around the fuzzy four-sphere which corresponds to a classical solution of this model. We need extra degrees of freedom since algebra of coordinates does not close on the fuzzy four-sphere. In such a construction, a fuzzy two sphere is added at each point on the fuzzy four-sphere as extra degrees of freedom. It is interesting that fields on the fuzzy four-sphere have higher spins due to the extra degrees of freedom. We also consider a theory around the north pole and take a flat space limit. A noncommutative gauge theory on four-dimensional plane, which has Heisenberg type noncommutativity, is considered. : 22 pages, eq.(36) and section 4 are modified Text North Pole DataCite Metadata Store (German National Library of Science and Technology) North Pole |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
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ftdatacite |
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unknown |
| topic |
High Energy Physics - Theory hep-th FOS Physical sciences |
| spellingShingle |
High Energy Physics - Theory hep-th FOS Physical sciences Kimura, Yusuke Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model |
| topic_facet |
High Energy Physics - Theory hep-th FOS Physical sciences |
| description |
We study a noncommutative gauge theory on a fuzzy four-sphere. The idea is to use a matrix model with a fifth-rank Chern-Simons term and to expand matrices around the fuzzy four-sphere which corresponds to a classical solution of this model. We need extra degrees of freedom since algebra of coordinates does not close on the fuzzy four-sphere. In such a construction, a fuzzy two sphere is added at each point on the fuzzy four-sphere as extra degrees of freedom. It is interesting that fields on the fuzzy four-sphere have higher spins due to the extra degrees of freedom. We also consider a theory around the north pole and take a flat space limit. A noncommutative gauge theory on four-dimensional plane, which has Heisenberg type noncommutativity, is considered. : 22 pages, eq.(36) and section 4 are modified |
| format |
Text |
| author |
Kimura, Yusuke |
| author_facet |
Kimura, Yusuke |
| author_sort |
Kimura, Yusuke |
| title |
Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model |
| title_short |
Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model |
| title_full |
Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model |
| title_fullStr |
Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model |
| title_full_unstemmed |
Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model |
| title_sort |
noncommutative gauge theory on fuzzy four-sphere and matrix model |
| publisher |
arXiv |
| publishDate |
2002 |
| url |
https://dx.doi.org/10.48550/arxiv.hep-th/0204256 https://arxiv.org/abs/hep-th/0204256 |
| geographic |
North Pole |
| geographic_facet |
North Pole |
| genre |
North Pole |
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North Pole |
| op_relation |
https://dx.doi.org/10.1016/s0550-3213(02)00469-8 |
| op_rights |
Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ |
| op_doi |
https://doi.org/10.48550/arxiv.hep-th/0204256 https://doi.org/10.1016/s0550-3213(02)00469-8 |
| _version_ |
1766140603301625856 |