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Title: Decoding the matrix: Coincident membranes on the plane wave

Abstract

At the core of nonperturbative theories of quantum gravity lies the holographic encoding of bulk data in large matrices. At present 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.

Authors:
;  [1]
  1. Center for Theoretical Physics, Department of Physics, University of California, Berkeley, California 94720-7300 (United States)
Publication Date:
OSTI Identifier:
20782713
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.066014; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ENERGY SPECTRA; MAPPING; MATRICES; MEMBRANES; QUANTUM GRAVITY

Citation Formats

Bousso, Raphael, Mints, Aleksey L, and and Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162. Decoding the matrix: Coincident membranes on the plane wave. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.066014.
Bousso, Raphael, Mints, Aleksey L, & and Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162. Decoding the matrix: Coincident membranes on the plane wave. United States. https://doi.org/10.1103/PHYSREVD.73.066014
Bousso, Raphael, Mints, Aleksey L, and and Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162. 2006. "Decoding the matrix: Coincident membranes on the plane wave". United States. https://doi.org/10.1103/PHYSREVD.73.066014.
@article{osti_20782713,
title = {Decoding the matrix: Coincident membranes on the plane wave},
author = {Bousso, Raphael and Mints, Aleksey L and and Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162},
abstractNote = {At the core of nonperturbative theories of quantum gravity lies the holographic encoding of bulk data in large matrices. At present 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.},
doi = {10.1103/PHYSREVD.73.066014},
url = {https://www.osti.gov/biblio/20782713}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}