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  Tensor models and embedded Riemann surfaces

Ryan, J. P. (2012). Tensor models and embedded Riemann surfaces. Physical Review D, 85: 024010. doi:10.1103/PhysRevD.85.024010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-30F3-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-30F5-4
Genre: Journal Article

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1104.5471 (Preprint), 303KB
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 Creators:
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: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Tensor models and, more generally, group field theories are candidates for higher-dimensional quantum gravity, just as matrix models are in the 2d setting. With the recent advent of a 1/N-expansion for coloured tensor models, more focus has been given to the study of the topological aspects of their Feynman graphs. Crucial to the aforementioned analysis were certain subgraphs known as bubbles and jackets. We demonstrate in the 3d case that these graphs are generated by matrix models embedded inside the tensor theory. Moreover, we show that the jacket graphs represent (Heegaard) splitting surfaces for the triangulation dual to the Feynman graph. With this in hand, we are able to re-express the Boulatov model as a quantum field theory on these Riemann surfaces.

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 Dates: 2011-04-282012
 Publication Status: Published in print
 Pages: 9 pages, 7 fig
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1104.5471
DOI: 10.1103/PhysRevD.85.024010
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 85 Sequence Number: 024010 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258