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We consider a class of lattice topological field theories, among which are the weak-coupling limit of 2d Yang-Mills theory and 3d Riemannian quantum gravity, whose dynamical variables are flat discrete connections with compact structure group on a cell 2-complex.
G. Ponzano and T. Regge, “Semi-classical limit of Racah coefficients,” Spectroscopic and group theoretical methods in physics (F. Bloch, ed.), North-Holland, Amsterdam
1968
Earlier work this paper cites.
J. F. Plebanski, “On the separation of Einsteinian substructures,” J. Math. Phys
1977
Earlier work this paper cites.
M. F. Atiyah and R. Bott, “The Yang-Mills equations over Riemann surfaces,” Phil. Trans. Roy. Soc. Lond
1982
Earlier work this paper cites.
W. Goldman, “The symplectic nature of fundamental groups,” Adv. Math
1984
Earlier work this paper cites.
E. Witten, “Topology-changing amplitudes in (2+1)-dimensional gravity”, Nuclear Phys. B , vol. 323, pp. 113–140, 1989
1989
Earlier work this paper cites.
E. Witten, “On quantum gauge theories in two dimensions,” Commun. Math. Phys
1991
Earlier work this paper cites.
M. Blau and G. Thompson, “Topological gauge theories of antisymmetric tensor fields,” Annals Phys
1991
Earlier work this paper cites.
V. G. Turaev and O. Y. Viro, “State sum invariants of 3 manifolds and quantum 6j symbols,” Topology
1992
Earlier work this paper cites.
D. V. Boulatov, “A Model of three-dimensional lattice gravity,” Mod. Phys. Lett
1992
Earlier work this paper cites.
H. Ooguri, “Topological lattice models in four-dimensions,” Mod. Phys. Lett
1992
Earlier work this paper cites.
L. Crane, L. H. Kauffman, and D. Yetter, “Evaluating the Crane-Yetter invariant,” 1993, [arXiv:hep-th/9309063]
1993
Earlier work this paper cites.
R. Forman, “Small volume limits of 2-d Yang-Mills,” Commun. Math. Phys
1993
Cited alongside, same era.
J. Gegenberg and G. Kunstatter, “The Partition function for topological field theories,” Ann. Phys
1994
Cited alongside, same era.
L. Freidel and K. Krasnov, “Spin foam models and the classical action principle,” Adv. Theor. Math. Phys
1999
Cited alongside, same era.
J. C. Baez, “An introduction to spin foam models of BF theory and quantum gravity,” Lect. Notes Phys
2000
Cited alongside, same era.
A. Perez and C. Rovelli, “A spin foam model without bubble divergences,” Nucl. Phys
2001
Cited alongside, same era.
Birkhauser, 2001
V. Turaev, Introduction to combinatorial torsions · 2001
Cited alongside, same era.
A. Perez, “The spin-foam-representation of loop quantum gravity,” 2006, [arXiv:gr-qc/0601095]
2006
Later among the works it cites.
D. Oriti, “The group field theory approach to quantum gravity,” 2006, [arXiv:gr-qc/0607032]
2006
Later among the works it cites.
Cambridge University Press, 2007, [arXiv:gr-qc/0110034]
T. Thiemann, Modern canonical quantum general relativity · 2007
Later among the works it cites.
J. Engle, R. Pereira, and C. Rovelli, “Flipped spinfoam vertex and loop gravity,” Nucl. Phys
2008
Later among the works it cites.
L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” Class. Quant. Grav
2008
Later among the works it cites.
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L. Freidel and D. Louapre, “Diffeomorphisms and spin foam models,” Nucl. Phys. B
2003
Cited alongside, same era.
A. Sengupta, “The volume measure for flat connections as limit of the Yang-Mills measure,” J. Geom. Phys
2003
Cited alongside, same era.
Cambridge University Press, 2004
C. Rovelli, Quantum Gravity · 2004
Cited alongside, same era.
L. Freidel, “Group field theory: An overview,” Int. J. Theor. Phys
2005
Cited alongside, same era.
J. Dubois, private communication
Cited in the paper.
R. Cassanas, unpublished notes
Cited in the paper.
2009
Later among the works it cites.
J. W. Barrett and I. Naish-Guzman, “The Ponzano-Regge model,” Class. Quant. Grav
2009
Later among the works it cites.
R. Gurau, “Colored Group Field Theory,” 2009, [arXiv:0907.2582]
2009
Later among the works it cites.
2010
Closest in time.