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Group Field Theory: An Overview

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Abstract

We give a brief overview of the properties of a higher-dimensional generalization of matrix model which arise naturally in the context of a background approach to quantum gravity, the so-called group field theory. We show in which sense this theory provides a third quantization point-of-view on quantum gravity.

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Authors and Affiliations

  1. Perimeter Institute, 35 King Street North, Waterloo, Ontario, Canada, N2J 2W9

    L. Freidel

  2. Laboratoire de Physique, École Normale Supérieure de Lyon, 46 allée d'Italie, Lyon, 69007, France

    L. Freidel

  3. Perimeter Institute, 35 King Street North, Waterloo, Ontario, Canada, N2J 2W9

    L. Freidel

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  1. L. Freidel
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Correspondence to L. Freidel.

Additional information

Prepared for the proceedings of Peyresq Physics 9Meeting: Micro and Macro Structureof Spacetime, Peyresq, France, 19-26 June 2004.

5 Except in 2 + 1 dimension (Witten, 1988).

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Freidel, L. Group Field Theory: An Overview. Int J Theor Phys 44, 1769–1783 (2005). https://doi.org/10.1007/s10773-005-8894-1

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