MG13 - Talk detail |
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Participant |
Kobayashi, Shimpei | |||||||
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Institution |
Gunma National College of Technology - 580 Toribamachi - Maebashi - Gunma Prefecture - Japan | |||||||
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Session |
ST2 |
Accepted |
Yes |
Order |
9 |
Time |
18:10 - 18:35 | |
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Talk |
Oral abstract |
Title |
Fuzzy Objects and Noncommutative Solitons | |||||
| Co-authors | Tsuguhiko Asakawa | |||||||
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Abstract |
We investigated the relation between noncommutative solitons and various fuzzy objects, in particular, the fuzzy disc, which is a disc-shaped region in a two-dimensional plane with noncommutativity characterized by [x,y]=i\theta and is a fuzzy approximation of a commutative disc by matrices with finite degrees of freedom. We introduced the concept of angle and showed that one can express the fuzzy disc with the bases that are eigenstates of an operator known as the phase operator in quantum optics. The each piece of the fuzzy disc divided by those bases can be regarded as a D-brane. We apply this to the construction of the soliton solutions in a scalar field theory and a gravitational theory on noncommutative spaces. We would like to refer the relation other fuzzy objects, e.g., fuzzy annulus, and noncommutative solitons. |
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