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  Colored Tensor Models - a review

Gurau, R., & Ryan, J. P. (2012). Colored Tensor Models - a review. Symmetry Integrability And Geometry-Methods And Applications, 8: 020. doi:10.3842/SIGMA.2012.020.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-30FC-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-7BD0-5
Genre: Journal Article

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1109.4812 (Preprint), 2MB
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 Creators:
Gurau, Razvan, Author
Ryan, James P.1, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,
 Abstract: Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the cutting edge in this rapidly expanding research field. Colored tensor models have been shown to share many of the properties of their direct ancestor, matrix models, which encode a theory of fluctuating two-dimensional surfaces. These features include the possession of Feynman graphs encoding topological spaces, a 1/N expansion of graph amplitudes, embedded matrix models inside the tensor structure, a resumable leading order with critical behavior and a continuum large volume limit, Schwinger-Dyson equations satisfying a Lie algebra (akin to the Virasoro algebra in two dimensions), non-trivial classical solutions and so on. In this review, we give a detailed introduction of colored tensor models and pointers to current and future research directions.

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 Dates: 2011-09-222012
 Publication Status: Published in print
 Pages: 80 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1109.4812
URI: http://arxiv.org/abs/1109.4812
DOI: 10.3842/SIGMA.2012.020
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Title: Symmetry Integrability And Geometry-Methods And Applications
Source Genre: Journal
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Pages: - Volume / Issue: 8 Sequence Number: 020 Start / End Page: - Identifier: -