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We offer a perspective on some recent results obtained in the context of the group field theory approach to quantum gravity, on top of reviewing them briefly.
Majid S 2000, Foundations of quantum group theory
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Perez A 2003 Class. Quant. Grav
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Rovelli C 2004 Quantum Gravity
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Freidel L 2005 Int. J. Theor. Phys
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Amelino-Camelia G 2005, Lect. Notes Phys. 669, 59-100, gr-qc/0412136;
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Barcelo C, S. Liberati S, Visser M 2005, Living Rev. Rel
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Freidel L, Starodubtsev A 2005, arXiv:hep-th/0501191;
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Volovik G E 2001 Phys. Rept
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Freidel L, Majid S 2006, arXiv: hep-th/0601004
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Oriti D, Ryan J 2006, Class. Quant. Grav
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Fairbairn W, Livine E 2007, Class. Quant. Grav
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Oriti D 2006, gr-qc/0607032; Oriti D 2005, in Fauser B, Tolksdorf J and Zeidler E (editors) 2007 Mathematical and Physical Aspects of Quantum Gravity
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Oriti D 2007, Proceedings of Science, [arXiv:0710.3276]
2007
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Livine E 2008, [arXiv:0811.1462]
2008
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Joung E, Mourad J, Noui K 2008, arXiv:0806.4121
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Kowalski-Glikman J, Starodubtsev A 2008, Phys.Rev
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Girelli F, Livine E, Oriti D 2009, 4d deformed special relativity from group field theories
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Oriti D (editor) 2009 Approaches to Quantum Gravity
2009
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Freidel L, Livine E 2006, Class.Quant.Grav
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2007
Cited alongside, same era.
Freidel L, Gurau R, Oriti D, GFT renormalization - 3d case: power counting of divergences
Cited in the paper.
Vilenkin N, Klimyk A, Representations of Lie Groups
Cited in the paper.
2062
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