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We introduce a new basis for the gauge-invariant Hilbert space of lattice gauge theory and loop quantum gravity in $(2+1)$ dimensions, the fusion basis.
J. Kijowski, “Symplectic Geometry and Second Quantization,” Rept. Math. Phys
1977
Earlier work this paper cites.
V. G. Drinfel’d, “Quantum groups,” in
1987
Earlier work this paper cites.
R. Dijkgraaf, C. Vafa, E. P. Verlinde and H. L. Verlinde, “The Operator Algebra of Orbifold Models,” Commun. Math. Phys
1989
Earlier work this paper cites.
P. de Sousa Gerbert, “On spin and (quantum) gravity in (2+1)-dimensions,” Nucl. Phys. B
1990
Earlier work this paper cites.
R. Dijkgraaf, V. Pasquier, and P. Roche, “Quasi Hopf algebras, group cohomology and orbifold models,” Nucl. Phys. B (Proc. Suppl.), 18B:60-72, 1990
1990
Earlier work this paper cites.
R. Loll, “Independent SU(2) loop variables,” Nucl. Phys. B
1992
Earlier work this paper cites.
V. Turaev and O. Viro, “State sum invariants of 3 manifolds and quantum 6j symbols”, Topology
1992
Earlier work this paper cites.
A. Ashtekar and C. J. Isham, “Representations of the holonomy algebras of gravity and non-Abelian gauge theories”, Class. Quantum Grav
1994
Earlier work this paper cites.
A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett
1995
Earlier work this paper cites.
C. Rovelli and L. Smolin, “Spin networks and quantum gravity,” Phys. Rev. D
1995
Earlier work this paper cites.
V. Chari and A. Pressley,
1995
Earlier work this paper cites.
V. V. Fock and A. A. Rosly, “Poisson structure on moduli of flat connections on Riemann surfaces and the r-matrix”, in Moscow Seminar in Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, Vol. 191, Amer. Math. Soc., Providence, RI, 1999, 67�86,
1995
Earlier work this paper cites.
T. H. Koornwinder and N. M. Muller, “Quantum double of a (locally) compact group,”
1998
Earlier work this paper cites.
T. H. Koornwinder, B. J. Schroers, J. K. Slingerland and F. A. Bais, “Fourier transform and the Verlinde formula for the quantum double of a finite group,” J. Phys. A
1999
Earlier work this paper cites.
A. Ocneanu, “Chirality for operator algebras”, in
2001
Earlier work this paper cites.
K. G. Wilson, “Confinement of Quarks,” Phys. Rev. D
2002
Earlier work this paper cites.
A. Y. Kitaev, “Fault tolerant quantum computation by anyons”, Annals Phys
2003
Earlier work this paper cites.
C. Rovelli,
2004
Earlier work this paper cites.
L. Freidel and D. Louapre, “Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles,” Class. Quant. Grav
2004
Cited alongside, same era.
L. Freidel and J. Zapata,
2004
Cited alongside, same era.
M. A. Levin and X.-G. Wen, “String-net condensation: A physical mechanism for topological phases”, Phys. Rev. B
2005
Cited alongside, same era.
K. Noui, “Three Dimensional Loop Quantum Gravity: Particles and the Quantum Double,” J. Math. Phys
2006
Cited alongside, same era.
L. Freidel and E. R. Livine, “Ponzano-Regge model revisited III: Feynman diagrams and effective field theory,” Class. Quant. Grav
2006
Cited alongside, same era.
K. Noui and A. Perez, “Three dimensional loop quantum gravity: coupling to point particles”, Class. Quant. Grav
2013
Later among the works it cites.
2014
Later among the works it cites.
E. R. Livine, “Deformation Operators of spin networks and Coarse-Graining,” Class. Quant. Grav
2014
Later among the works it cites.
2014
Later among the works it cites.
L. Tagliacozzo and G. Vidal, “Entanglement renormalization and gauge symmetry,” Phys. Rev. B
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2007
Cited alongside, same era.
2008
Cited alongside, same era.
2010
Cited alongside, same era.
B. Bahr and B. Dittrich, “Improved and Perfect Actions in Discrete Gravity”, Phys. Rev. D
2010
Cited alongside, same era.
2010
Cited alongside, same era.
B. Dittrich, “How to construct diffeomorphism symmetry on the lattice,” PoS QGQGS
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
B. Dittrich and M. Geiller, “A New Vacuum for Loop Quantum Gravity”, Class. Quantum Grav
2015
Later among the works it cites.
B. Bahr, B. Dittrich and M. Geiller, “A new realization of quantum geometry”, (2015),
2015
Later among the works it cites.
2015
Later among the works it cites.
C. Charles and E. R. Livine, “Closure constraints for hyperbolic tetrahedra,” Class. Quant. Grav
2015
Later among the works it cites.
2016
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2016
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2016
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A. Perez, “The Spin Foam Approach to Quantum Gravity”, Living Rev. Rel
2019
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