Fetching the paper…
Reading the bibliography…
To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions.
C. Delcamp and A. Tiwari, On 2-form gauge models of topological phases , arXiv:1901.02249
1901
Earlier work this paper cites.
C. Shen and L.-Y. Hung, A Defect Verlinde Formula , arXiv:1901.08285
1901
Earlier work this paper cites.
H. A. Kramers and G. H. Wannier, Statistics of the two-dimensional ferromagnet. Part 1. , Phys. Rev. 60
1941
Earlier work this paper cites.
V. L. Ginzburg and L. D. Landau, On the theory of superconductivity , Zh. Eksp. Teor. Fiz. 20
1950
Earlier work this paper cites.
Pergamon, London, 1958
L. D. Landau and E. M. Lifschitz, Statistical Physics - Course of Theoretical Physics Vol 5 · 1958
Earlier work this paper cites.
S. Ferrara, A. F. Grillo and R. Gatto, Tensor representations of conformal algebra and conformally covariant operator product expansion , Annals Phys. 76
1973
Earlier work this paper cites.
A. M. Polyakov, Nonhamiltonian approach to conformal quantum field theory , Zh. Eksp. Teor. Fiz. 66
1974
Earlier work this paper cites.
A. S. Schwarz, The Partition Function of Degenerate Quadratic Functional and Ray-Singer Invariants , Lett. Math. Phys. 2
1978
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer and A. C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit , Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
R. B. Laughlin, Anomalous quantum hall effect: An incompressible quantum fluid with fractionally charged excitations , Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
J. L. Cardy, Effect of Boundary Conditions on the Operator Content of Two-Dimensional Conformally Invariant Theories , Nucl. Phys. B275
1986
Earlier work this paper cites.
E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory , Nucl. Phys. B300
1988
Earlier work this paper cites.
E. Witten, Quantum Field Theory and the Jones Polynomial , Commun. Math. Phys. 121
1989
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Classical and Quantum Conformal Field Theory , Commun. Math. Phys. 123
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.
R. Dijkgraaf and E. Witten, Topological Gauge Theories and Group Cohomology , Commun.Math.Phys. 129
1990
Earlier work this paper cites.
arXiv:hep-th/9511201
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 · 1995
Earlier work this paper cites.
No. v. 1 in Luis A.Caffarelli. Princeton University Press, 1997
W. Thurston and S. Levy, Three-dimensional Geometry and Topology · 1997
Earlier work this paper cites.
M. Oshikawa and I. Affleck, Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line , Nucl. Phys. B495
1997
Earlier work this paper cites.
Graduate studies in mathematics. American Mathematical Society, 1999
R. Gompf and A. Stipsicz, 4-manifolds and Kirby Calculus · 1999
Earlier work this paper cites.
V. B. Petkova and J. B. Zuber, Generalized twisted partition functions , Phys. Lett. B504
2001
Earlier work this paper cites.
M. Freedman, A. Kitaev, M. Larsen and Z. Wang, Topological quantum computation , Bulletin of the American Mathematical Society 40
2003
Earlier work this paper cites.
Encyclopaedia of Mathematical Sciences. Springer, 2004
S. Carter, J. Carter, S. Kamada and M. Saito, Surfaces in 4-Space · 2004
Cited alongside, same era.
J. Frohlich, J. Fuchs, I. Runkel and C. Schweigert, Kramers-Wannier duality from conformal defects , Phys. Rev. Lett. 93
2004
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond , Ann. Phys. 321
2006
Cited alongside, same era.
J. Frohlich, J. Fuchs, I. Runkel and C. Schweigert, Duality and defects in rational conformal field theory , Nucl. Phys. B763
2007
Cited alongside, same era.
C. Nayak, S. H. Simon, A. Stern, M. Freedman and S. D. Sarma, Non-abelian anyons and topological quantum computation , Reviews of Modern Physics 80
2008
Cited alongside, same era.
An introductory review: L. Balents
2015
Later among the works it cites.
2015
Later among the works it cites.
J. Wang and X.-G. Wen, Boundary Degeneracy of Topological Order , Phys. Rev. B91
2015
Later among the works it cites.
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
2011
Cited alongside, same era.
Cambridge University Press, 2012
J. K. Pachos, Introduction to topological quantum computation · 2012
Cited alongside, same era.
2013
Cited alongside, same era.
2014
Cited alongside, same era.
2014
Cited alongside, same era.
2014
Cited alongside, same era.
2015
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
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.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
C. Delcamp and A. Tiwari, From gauge to higher gauge models of topological phases , JHEP 10
2018
Later among the works it cites.
2018
Later among the works it cites.
Joint work with Robert Gompf
2019
Closest in time.
2019
Closest in time.
J. Wang and M. Yamazaki, in preparation , to appear (2019)
2019
Closest in time.
J. Wang and A. Zee, in preparation , to appear (2019)
2019
Closest in time.