We consider the classical and quantum dynamics in M(atrix) theory. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. We argue that the holographic feature of M(atrix) theory is related with the repulsive feature of energy eigenvalues in quantum chaotic system. Chao
M(atrix) theory : a pedagogical introduction
โ Scribed by Adel Bilal
- Book ID
- 101310686
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 333 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0015-8208
No coin nor oath required. For personal study only.
โฆ Synopsis
I attempt to give a pedagogical introduction to the matrix model of M-theory as developed by BanksD FischlerD Shenker and Susskind @BFSSA. In the rst lectureD I introduce and review the relevant aspects of D-branes with the emergence of the matrix model action. The second lecture deals with the appearance of eleven-dimensional supergravity and M-theory in strongly coupled type IIA superstring theory. The third lecture combines the materiel of the two previous ones to arrive at the BFSS conjecture and explains the evidence presented by these authors. The emphasis is not on most recent developments but on a hopefully pedagogical presentation.
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