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Boson condensation in topological quantum field theories (TQFT) has been previously investigated through the formalism of Frobenius algebras and the use of vertex lifting coefficients.
F. Wilczek, “Quantum mechanics of fractional-spin particles”. Physical Review Letters, 49, 957 (1982)
1982
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer, A. C. Gossard, “Two-dimensional magnetotransport in the extreme quantum limit”. Physical Review Letters, 48(22), 1559 (1982)
1982
Earlier work this paper cites.
R.B. Laughlin, “Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations”. Physical Review Letters, 50(18), 1395 (1983)
1983
Earlier work this paper cites.
A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory”, JETP Lett. 43
1986
Earlier work this paper cites.
A. Capelli, C. Itzykson, J.-B. Zuber, ”Modular Invariant Partition Functions in Two-Dimensions”, Nucl. Phys. B 280
1987
Earlier work this paper cites.
C. Vafa, “Toward classification of conformal theories”, Phys. Lett. B 206
1988
Earlier work this paper cites.
X. G. Wen, F. Wilczek, A. Zee, “Chiral spin states and superconductivity”. Phys. Rev. B 39
1989
Earlier work this paper cites.
X. G. Wen, “Vacuum degeneracy of chiral spin states in compactified space”. Phys. Rev. B 40
1989
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and Jones Polynomical”, Commun. Math. Phys. 121
1989
Earlier work this paper cites.
A. N. Schellekens and S. Yankielowicz, “Extended chiral algebras and modular invariant partition functions”, Nucl Phys. B 327
1989
Earlier work this paper cites.
G. Moore, N. Seiberg, “Classical and quantum conformal field theory”. Communications in Mathematical Physics, 1989, 123(2): 177-254
1989
Earlier work this paper cites.
G. Moore, N. Seiberg, ”Naturality in conformal field theory”. Nucl. Phys. B 313
1989
Earlier work this paper cites.
X. G. Wen, “Topological orders in rigid states”. Int. J. Mod. Phys. B 4
1990
Earlier work this paper cites.
A. N. Schellekens and S. Yankielowicz, “Simple currents, modular invariants and fixed points”, Inter. J. Mod. Phys. A 5
1990
Earlier work this paper cites.
K. Intrilligator, “Bonus symmetry in Conformal Field Theory”, Nucl. Phys. B 332
1990
Earlier work this paper cites.
I. Affleck, A. W. W. Ludwig, “Universal Non Integer ‘Ground-State Degeneracy’ in Critical Quantum Systems”. Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
B. Gato-Rivera and A.N. Schellekens, “Complete classification of simple current automorphism”, Nucl. Phys. B 353
1991
Earlier work this paper cites.
J. de Boer and J. Goeree, “Markov Traces and II(1) Factors in Conformal Field Theories”. Commun. Math. Phys. 139
1991
Earlier work this paper cites.
F. A. Bais, P. van Driel, M. de Wild Propitius, “Quantum symmetries in discrete gauge theories”. Physics Letters B, 1992, 280(1): 63-70
1992
Earlier work this paper cites.
B. Gato-Rivera and A.N. Schellekens, “Complete classification of simple current modular invariants for RCFT’s with a center ( Z p ) k (Z_{p})^{k} ”, Comm. Math. Phys. 145
1992
Earlier work this paper cites.
M. Kreuzer, A. N. Schellekens, “Simple currents versus orbifolds with discrete torsion – a complete classification”, Nucl.Phys. B 411
1994
Earlier work this paper cites.
F. Di Francesco, P. Mathieu, D. Sénéchal, “Conformal Field Theory” (Springer, 1997)
1997
Earlier work this paper cites.
F. A. Bais, B. J. Schroers, J. K. Slingerland. “Broken quantum symmetry and confinement phases in planar physics”. Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
A. Kirillov Jr, V. Ostrik, “On q-analog of McKay correspondence and ADE classification of s l ( 2 ) sl(2) conformal field theories”, Adv. Math. 171
2002
Earlier work this paper cites.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons”, Annals Phys. 303
2003
Earlier work this paper cites.
J. Fuchs, C. Schweigert, “Category theory for conformal boundary conditions”, Fields Institute Communications 39, 25 (2003); arXiv:math/0106050
2003
Earlier work this paper cites.
J. Fuchs, I. Runkel, C. Schweigert. “Boundaries, defects and Frobenius algebras” Annales Henri Poincaré. Birkhäuser-Verlag, 2003, 4(1): 175-182
2003
Earlier work this paper cites.
M. Muger, “From subfactors to categories and topology I: Frobenius algebras in and Morita equivalence of tensor categories”. Journal of Pure and Applied Algebra, 2003, 180(1): 81-157
2003
Earlier work this paper cites.
X. G. Wen, “Quantum field theory of many-body systems from the origin of sound to an origin of light and electrons”. Oxford Univ. Press Inc., New York (2004)
2004
Earlier work this paper cites.
D. Friedan and A. Konechny, “On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature”, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
T. H. Hansson, V. Oganesyan, S. L. Sondhi, “Superconductors are topologically ordered”. Annals of Physics, 2004, 313(2): 497-538
2004
Cited alongside, same era.
M. A. Levin, X. G. Wen, “String-net condensation: A physical mechanism for topological phases”. Phys. Rev. B 71
2005
Cited alongside, same era.
A. Y. Kitaev, “Anyons in an exactly solved model and beyond”. Annals of Physics, 321(1): 2-111 (2006)
2006
Cited alongside, same era.
F. A. Bais, C. J. M. Mathy. “Defect-mediated melting and the breaking of quantum double symmetries”. Phys. Rev. B 73
2006
Cited alongside, same era.
J. Fröhlich, J. Fuchs, I. Runkel, C. Schweigert, “Correspondences of ribbon categories”. Advances in Mathematics, 2006, 199(1): 192-329
2006
Cited alongside, same era.
T. Bookera, A. Davydov, “Commutative algebras in Fibonacci categories”, J. Algebra 355
2012
Later among the works it cites.
Y. Z. You, C. M. Jian, X. G. Wen, “Synthetic Topological Degeneracy by Anyon Condensation”. Phys. Rev. B 87
2013
Later among the works it cites.
T. Mansson, V. Lahtinen, J. Suorsa, and E. Ardonne, “Condensate-induced transitions and critical spin chains”. Phys. Rev. B 88
2013
Later among the works it cites.
M. D. Schulz, S. Dusuel, K. P. Schmidt, and J. Vidal, “Topological Phase Transitions in the Golden String-Net Model” Phys. Rev. Lett. 110
2013
Later among the works it cites.
M. Levin, “Protected edge modes without symmetry’. Phys. Rev. X 3
2013
Later among the works it cites.
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P. Bonderson, “Non-Abelian Anyons and Interferometry”, PhD Thesis, http://thesis.library.caltech.edu/2447/2/thesis.pdf (2007)
2007
Cited alongside, same era.
C. J. M. Mathy, F. A. Bais, “Nematic phases and the breaking of double symmetries”. Ann. Phys. 322
2007
Cited alongside, same era.
C. Nayak, S. H. Simon, A. Stern, M. Freedman, S. Das Sarma, “Non-Abelian Anyons and Topological Quantum Computation”, Rev. Mod. Phys. 80
2008
Cited alongside, same era.
2008
Cited alongside, same era.
D. Green, M. Mulligan, and David Starr, “Boundary entropy can increase under bulk RG flow”. Nuclear Physics B 798
2008
Cited alongside, same era.
Z. C. Gu and X. G. Wen “Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order”. Phys. Rev. B 80
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2013
Later among the works it cites.
M. Barkeshli, C. M. Jian, X. L. Qi, “Theory of defects in Abelian topological states”. Phys. Rev. B 88
2013
Later among the works it cites.
M. Barkeshli, C. M. Jian, X. L. Qi, “Classification of topological defects in Abelian topological states”. Phys. Rev. B 88
2013
Later among the works it cites.
L. Fidkowski, X. Chen, A. Vishwanath, “Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model”, Phys. Rev. X 3
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
L. Y. Hung, Y. Wan, “Symmetry-enriched phases obtained via pseudo anyon condensation”, International Journal of Modern Physics B, 2014, 28(24): 1450172
2014
Later among the works it cites.
Y. Gu, L. Y. Hung, and Y. Wan, “Unified framework of topological phases with symmetry”, Phys. Rev. B 90
2014
Later among the works it cites.
M. D. Schulz, S. Dusuel, G. Misguich, K. P. Schmidt, and J. Vidal, “Ising anyons with a string tension”, Phys. Rev. B 89
2014
Later among the works it cites.
A. Kapustin, “Ground-state degeneracy for abelian anyons in the presence of gapped boundaries”. Phys. Rev. B 89
2014
Later among the works it cites.
J. C. Y. Teo, A. Roy, X. Chen, “Unconventional fusion and braiding of topological defects in a lattice model”. Phys. Rev. B 90
2014
Later among the works it cites.
T. Lan, X. G. Wen, “Topological quasiparticles and the holographic bulk-edge relation in (2+ 1)-dimensional string-net models”. Phys. Rev. B 90
2014
Later among the works it cites.
L. Kong, “Anyon condensation and tensor categories”, Nucl. Phys. B 886
2014
Later among the works it cites.
2014
Later among the works it cites.
C. M. Jian, X. L. Qi, “Layer construction of 3D topological states and string braiding statistics”. Physical Review X, 4(4), 041043 (2014)
2014
Later among the works it cites.
H. He, H. Moradi, and X. G. Wen, “Modular matrices as topological order parameter by a gauge-symmetry-preserved tensor renormalization approach”, Phys. Rev. B 90
2014
Later among the works it cites.
L. Y. Hung, Y. Wan, “Generalized ADE classification of topological boundaries and anyon condensation”. JHEP 1507, 120 (2015)
2015
Later among the works it cites.
T. Lan, J. C. Wang, X. G. Wen, “Gapped Domain Walls, Gapped Boundaries, and Topological Degeneracy”. Phys. Rev. Lett. 114
2015
Later among the works it cites.
Y. Kawahigashi, “A remark on gapped domain walls between topological phases”. Lett. Math. Phys. 105
2015
Later among the works it cites.
L. Y. Hung, Y. Wan, “Ground-State Degeneracy of Topological Phases on Open Surfaces”. Phys. Rev. Lett. 114
2015
Later among the works it cites.
F. A. Bais, S. M. Haaker, “Topological symmetry breaking: Domain walls and partial instability of chiral edges”. Phys. Rev. B 92
2015
Later among the works it cites.
J. C. Wang, X. G. Wen. “Boundary degeneracy of topological order”. Phys. Rev. B 91
2015
Later among the works it cites.
2015
Later among the works it cites.
H. Moradi, X. G. Wen, “Universal Wave Function Overlap and Universal Topological Data from Generic Gapped Ground States”. Phys. Rev. Lett. 115
2015
Later among the works it cites.