| 日時: |
2005-09-22 15:00 - |
| 場所: |
研究本館2階220号室 |
| 会議名: |
Describing Curved Spaces by Matrices |
| 連絡先: |
丹後 |
| 講演者: |
川合 光氏 (京都大学大学院 理学研究科) |
| 講演言語: |
日本語 |
| アブストラクト: |
It is shown that a covariant derivative on any d-dimensional manifold
M can be mapped to a set of d operators acting on the space of
functions on the principal Spin(d)-bundle over M. In other words, any
d-dimensional manifold can be described in terms of d operators acting
on an infinite dimensional space. Therefore it is natural to introduce a
new interpretation of matrix models in which matrices represent such
operators. In this interpretation the diffeomorphism, local Lorentz
symmetry and their higher-spin analogues are included in the unitary
symmetry of the matrix model. Furthermore the Einstein equation is
obtained from the equation of motion, if we take the standard form of
the action S=-tr([A_{a},A_{b}][A^{a},A^{b}]).
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