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The implementation of holography in ...
~
Mints, Aleksey Leonidovich.
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The implementation of holography in the plane wave matrix model.
Record Type:
Language materials, printed : Monograph/item
Title/Author:
The implementation of holography in the plane wave matrix model./
Author:
Mints, Aleksey Leonidovich.
Description:
177 p.
Notes:
Adviser: Raphael Bousso.
Contained By:
Dissertation Abstracts International68-08B.
Subject:
Physics, Theory. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3279631
ISBN:
9780549209416
The implementation of holography in the plane wave matrix model.
Mints, Aleksey Leonidovich.
The implementation of holography in the plane wave matrix model.
- 177 p.
Adviser: Raphael Bousso.
Thesis (Ph.D.)--University of California, Berkeley, 2007.
It is expected that at the core of nonperturbative theories of quantum gravity, such as M-theory, lies the realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area.
ISBN: 9780549209416Subjects--Topical Terms:
1019422
Physics, Theory.
The implementation of holography in the plane wave matrix model.
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177 p.
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Adviser: Raphael Bousso.
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Source: Dissertation Abstracts International, Volume: 68-08, Section: B, page: 5325.
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Thesis (Ph.D.)--University of California, Berkeley, 2007.
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It is expected that at the core of nonperturbative theories of quantum gravity, such as M-theory, lies the realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area.
520
$a
Present understanding of such theories requires the holographic encoding of bulk data in large matrices. Currently this mapping is poorly understood. The plane wave matrix model provides a laboratory for isolating aspects of this problem in a controlled setting. At large boosts, configurations of concentric membranes become superselection sectors, whose exact spectra are known. From the bulk point of view one expects product states of individual membranes to be contained within the full spectrum. However, for non-BPS states this inclusion relation is obscured by Gauss law constraints. Its validity rests on nontrivial relations in representation theory, which we identify and verify by explicit computation.
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Beyond the decoding and partial identification of selected states in large matrices, one would like to get a better understanding of the holographic state counting of these degrees of freedom, i.e., entropy. Contrary to the naive expectation of holography realized in terms of the covariant entropy bound, we present evidence that it is the Bekenstein entropy bound, which is related to area differences, that is manifest in the plane wave matrix model. If holography is implemented in this way, we predict crossover behavior at strong coupling when the energy exceeds N2 in units of the mass scale.
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School code: 0028.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3279631
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