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Using a recent strategy to encode the space of flat connections on a three-manifold with string-like defects into the space of flat connections on a so-called 2d Heegaard surface, we propose a novel way to define gauge invariant bases for (3+1)d lattice gauge theories and gauge models of topological phases.
S. Mandelstam, Feynman rules for electromagnetic and Yang-Mills fields from the gauge independent field theoretic formalism , Phys. Rev. 175
1968
Earlier work this paper cites.
Yu. Makeenko and A. A. Migdal, Quantum Chromodynamics as Dynamics of Loops , Nucl. Phys. B188
1981
Earlier work this paper cites.
V. G. Drinfel’d, Quantum groups , Journal of Soviet Mathematics 41
1988
Earlier work this paper cites.
V. G. Drinfeld, Quasi Hopf algebras , Alg. Anal. 1N6
1989
Earlier work this paper cites.
V. G. Turaev and O. Y. Viro, State sum invariants of 3 manifolds and quantum 6j symbols , Topology 31
1992
Earlier work this paper cites.
R. Loll, Independent SU(2) loop variables , Nucl. Phys. B368
1992
Earlier work this paper cites.
A. Ocneanu, Chirality for operator algebras , Subfactors (Kyuzeso, 1993) 39–63
1993
Earlier work this paper cites.
R. Loll, Yang-Mills theory without Mandelstam constraints , Nucl. Phys. B400
1993
Earlier work this paper cites.
A. Ashtekar and R. S. Tate, An Algebraic extension of Dirac quantization: Examples , J. Math. Phys. 35
1994
Earlier work this paper cites.
N. J. Watson, Solution of the SU(2) Mandelstam constraints , Phys. Lett. B323
1994
Earlier work this paper cites.
C. Rovelli and L. Smolin, Spin networks and quantum gravity , Phys. Rev. D52
1995
Earlier work this paper cites.
C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity , Nucl. Phys. B442
1995
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Projective techniques and functional integration for gauge theories , J. Math. Phys. 36
1995
Earlier work this paper cites.
M. de Wild Propitius and F. A. Bais, Discrete gauge theories , in Particles and fields. Proceedings, CAP-CRM Summer School, Banff, Canada, August 16-24, 1994 , pp. 353–439, 1995, hep-th/9511201
1995
Earlier work this paper cites.
J. C. Baez, Spin foam models , Class. Quant. Grav. 15
1998
Earlier work this paper cites.
T. H. Koornwinder, F. A. Bais and N. M. Muller, Tensor product representations of the quantum double of a compact group , Commun. Math. Phys. 198
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. A32
1999
Earlier work this paper cites.
No. 20. American Mathematical Soc., 1999
R. E. Gompf and A. Stipsicz, 4-manifolds and Kirby calculus · 1999
Earlier work this paper cites.
A. Ocneanu, Operator algebras, topology and subgroups of quantum symmetry , Adv. Studies in Pure Math (2001) 235–263
2001
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2004
C. Rovelli, Quantum Gravity · 2004
Earlier work this paper cites.
A. Perez, Introduction to loop quantum gravity and spin foams , in 2nd International Conference on Fundamental Interactions (ICFI 2004) Domingos Martins, Espirito Santo, Brazil, June 6-12, 2004 , 2004, gr-qc/0409061
2004
Earlier work this paper cites.
Oxford University Press on Demand, 2004
X.-G. Wen, Quantum field theory of many-body systems: from the origin of sound to an origin of light and electrons · 2004
Earlier work this paper cites.
M. A. Levin and X.-G. Wen, String net condensation: A Physical mechanism for topological phases , Phys. Rev. B71
2005
Cited alongside, same era.
B. Dittrich and T. Thiemann, Testing the master constraint programme for loop quantum gravity. I. General framework , Class. Quant. Grav. 23
2006
Cited alongside, same era.
B. Dittrich and T. Thiemann, Testing the master constraint programme for loop quantum gravity. II. Finite dimensional systems , Class. Quant. Grav. 23
2006
Cited alongside, same era.
Cambridge University Press, 2007
C. Thiemann, Introduction to Modern Canonical Quantum General Relativity · 2007
Cited alongside, same era.
J. W. Barrett, J. M. Garcia-Islas and J. F. Martins, Observables in the Turaev-Viro and Crane-Yetter models , J. Math. Phys. 48
2007
Cited alongside, same era.
S. Ghosh, R. M. Soni and S. P. Trivedi, On The Entanglement Entropy For Gauge Theories , JHEP 09
2015
Later among the works it cites.
J. Lewandowski and H. Sahlmann, Loop quantum gravity coupled to a scalar field , Phys. Rev. D93
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
R. M. Soni and S. P. Trivedi, Aspects of Entanglement Entropy for Gauge Theories , JHEP 01
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2008
Cited alongside, same era.
2010
Cited alongside, same era.
K. Walker and Z. Wang, (3+1)-TQFTs and topological insulators , Frontiers of Physics 7
2012
Cited alongside, same era.
W. Donnelly, Decomposition of entanglement entropy in lattice gauge theory , Phys. Rev. D85
2012
Cited alongside, same era.
2012
Cited alongside, same era.
Cambridge University Press, 2013
E. Fradkin, Field theories of condensed matter physics · 2013
Cited alongside, same era.
B. Bahr, B. Dittrich and J. P. Ryan, Spin foam models with finite groups , J. Grav. 2013
2013
Cited alongside, same era.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
C. Delcamp, Excitation basis for (3+1)d topological phases , JHEP 12
2017
Later among the works it cites.
2017
Later among the works it cites.
P. Drobinski and J. Lewandowski, Continuum approach to the BF vacuum: The U(1) case , Phys. Rev. D96
2017
Later among the works it cites.
B. Dittrich and M. Geiller, Quantum gravity kinematics from extended TQFTs , New J. Phys. 19
2017
Later among the works it cites.
2017
Later among the works it cites.
E. R. Livine, 3d Quantum Gravity: Coarse-Graining and q q -Deformation , Annales Henri Poincare 18
2017
Later among the works it cites.
C. Delcamp and B. Dittrich, Towards a phase diagram for spin foams , Class. Quant. Grav. 34
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
A. Perez, The Spin Foam Approach to Quantum Gravity , Living Rev. Rel. 16
2019
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2062
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