| 日時: |
2009-10-07 10:00 - 11:00 |
| 場所: |
４号館345室 |
| 会議名: |
Matrix Model and Number Theory ��:Formulation |
| 連絡先: |
百武、hyaku AT post.kek.jp |
| 講演者: |
Prof. Hirotaka Sugawara (Johns Hopkins University and KEK) |
| 講演言語: |
英語 |
| アブストラクト: |
Solution to the reduced matrix model of IKKT type is studied with non-zero fermion fields. A suggestion is made that our universe is made of rational numbers rather than being a continuum. To substantiate this proposal, the reduced Yang-Mills equation is written in the form of an elliptic curve. The normalization of the solution can be expressed in terms of the Weierstrass function generically or in terms of the Dedekind function in the case of 3-brane. A way to define the gravitational field in the matrix model is proposed with some new interpretation of the cosmological constant. The (first) quantization of the system is done within the framework of non-commutative geometry. |
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