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We analyze $2+1d$ and $3+1d$ Bosonic Symmetry Protected Topological (SPT) phases of matter protected by onsite symmetry group $G$ by using dual bulk and boundary approaches.
G. Hooft, Recent developments in gauge theories. Proceedings of the NATO Advanced Study Institute on recent developments in gauge theories, held in Cargèse, Corsica, August 26-September 8, 1979 , 135 (1980)
1980
Earlier work this paper cites.
C. Vafa, Nuclear Physics B 273
1986
Earlier work this paper cites.
P. Ginsparg, arXiv preprint hep-th/9108028 (1988)
1988
Earlier work this paper cites.
R. Dijkgraaf, C. Vafa, E. Verlinde, and H. Verlinde, Communications in Mathematical Physics 123
1989
Earlier work this paper cites.
C. Vafa, Modern Physics Letters A 4
1989
Earlier work this paper cites.
E. Witten, Communications in Mathematical Physics 121
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, Communications in Mathematical Physics 129
1990
Earlier work this paper cites.
R. Dijkgraaf, V. Pasquier, and P. Roche, Nuclear Physics B-Proceedings Supplements 18
1991
Earlier work this paper cites.
S. Wu, Communications in mathematical physics 136
1991
Earlier work this paper cites.
X.-G. Wen, International journal of modern physics B 6
1992
Earlier work this paper cites.
L. C. Jeffrey, Communications in mathematical physics 147
1992
Earlier work this paper cites.
Y. Hatsugai, Physical review letters 71
1993
Earlier work this paper cites.
A. Balachandran and P. Teotonio-Sobrinho, International Journal of Modern Physics A 8
1993
Earlier work this paper cites.
M. d. W. Propitius, arXiv preprint hep-th/9511195 (1995)
1995
Earlier work this paper cites.
A. Cappelli and G. R. Zemba, Nuclear Physics B 490
1997
Earlier work this paper cites.
M. R. Gaberdiel, Journal of High Energy Physics 2000
2000
Earlier work this paper cites.
A. Cappelli, M. Huerta, and G. R. Zemba, Nuclear Physics B 636
2002
Earlier work this paper cites.
E. Witten, arXiv preprint hep-th/0307041 (2003)
2003
Earlier work this paper cites.
M. Bauer, G. Girardi, R. Stora, and F. Thuillier, Journal of High Energy Physics 2005
2005
Earlier work this paper cites.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. Ludwig, Physical Review B 78
2008
Earlier work this paper cites.
A. Kitaev, V. Lebedev, and M. Feigelman, in AIP Conference Proceedings , Vol. 1134 (AIP, 2009) pp. 22–30
2009
Earlier work this paper cites.
F. Bais and J. Slingerland, Physical Review B 79
2009
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
A. Cappelli, G. Viola, and G. R. Zemba, Annals of Physics 325
2010
Earlier work this paper cites.
X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
A. Cappelli and G. Viola, Journal of Physics A: Mathematical and Theoretical 44
2011
Earlier work this paper cites.
M. Levin and Z.-C. Gu, Physical Review B 86
2012
Earlier work this paper cites.
S. Ryu and S.-C. Zhang, Physical Review B 85
2012
Earlier work this paper cites.
Y.-M. Lu and A. Vishwanath, Physical Review B 86
2012
Cited alongside, same era.
P. Francesco, P. Mathieu, and D. Sénéchal, Conformal field theory (Springer Science & Business Media, 2012)
2012
Cited alongside, same era.
R. Blumenhagen, D. Lüst, and S. Theisen, in Basic Concepts of String Theory (Springer, 2012) pp. 63–106
2012
Cited alongside, same era.
X.-L. Qi, H. Katsura, and A. W. Ludwig, Physical review letters 108
2012
Cited alongside, same era.
A. Amoretti, A. Blasi, N. Maggiore, and N. Magnoli, New Journal of Physics 14
2012
Cited alongside, same era.
E. Fradkin, Field theories of condensed matter physics (Cambridge University Press, 2013)
2013
Cited alongside, same era.
H. Moradi and X.-G. Wen, Physical Review B 91
2015
Later among the works it cites.
M. A. Metlitski, C. Kane, and M. P. Fisher, Physical Review B 92
2015
Later among the works it cites.
C.-K. Chiu, J. C. Teo, A. P. Schnyder, and S. Ryu, Reviews of Modern Physics 88
2016
Later among the works it cites.
D. S. Freed and M. J. Hopkins, arXiv preprint arXiv:1604.06527 (2016)
2016
Later among the works it cites.
D. Gaiotto and A. Kapustin, International Journal of Modern Physics A 31
2016
Later among the works it cites.
K. Shiozaki, H. Shapourian, and S. Ryu, arXiv preprint arXiv:1609.05970 (2016)
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X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, Physical Review B 87
2013
Cited alongside, same era.
O. M. Sule, X. Chen, and S. Ryu, Physical Review B 88
2013
Cited alongside, same era.
A. Vishwanath and T. Senthil, Physical Review X 3
2013
Cited alongside, same era.
C. Wang and T. Senthil, Physical Review B 87
2013
Cited alongside, same era.
C. Wang, A. C. Potter, and T. Senthil, Physical Review B 88
2013
Cited alongside, same era.
P. Bonderson, C. Nayak, and X.-L. Qi, Journal of Statistical Mechanics: Theory and Experiment 2013
2013
Cited alongside, same era.
2016
Later among the works it cites.
A. Tiwari, X. Chen, and S. Ryu, arXiv preprint arXiv:1603.08429 (2016)
2016
Later among the works it cites.
X. Chen, A. Tiwari, and S. Ryu, Physical Review B 94
2016
Later among the works it cites.
C.-T. Hsieh, G. Y. Cho, and S. Ryu, Physical Review B 93
2016
Later among the works it cites.
P. Ye and Z.-C. Gu, Physical Review B 93
2016
Later among the works it cites.
T. Neupert, H. He, C. von Keyserlingk, G. Sierra, and B. A. Bernevig, Physical Review B 93
2016
Later among the works it cites.
C. Wang and M. Levin, arXiv preprint arXiv:1610.04624 (2016)
2016
Later among the works it cites.
D. V. Else and C. Nayak, Physical Review B 93
2016
Later among the works it cites.
A. C. Potter, T. Morimoto, and A. Vishwanath, Physical Review X 6
2016
Later among the works it cites.
H. C. Po, L. Fidkowski, T. Morimoto, A. C. Potter, and A. Vishwanath, Physical Review X 6
2016
Later among the works it cites.
Q.-R. Wang and Z.-C. Gu, arXiv preprint arXiv:1703.10937 (2017)
2017
Closest in time.
L. Bhardwaj, D. Gaiotto, and A. Kapustin, Journal of High Energy Physics 2017
2017
Closest in time.
M. Cheng, N. Tantivasadakarn, and C. Wang, arXiv preprint arXiv:1705.08911 (2017)
2017
Closest in time.
K. Shiozaki and S. Ryu, Journal of High Energy Physics 2017
2017
Closest in time.
L. Bhardwaj and Y. Tachikawa, arXiv preprint arXiv:1704.02330 (2017)
2017
Closest in time.
B. Han, A. Tiwari, C.-T. Hsieh, and S. Ryu, arXiv preprint arXiv:1704.01193 (2017)
2017
Closest in time.
N. Tantivasadakarn, arXiv preprint arXiv:1706.09769 (2017)
2017
Closest in time.
H. He, Y. Zheng, and C. von Keyserlingk, Physical Review B 95
2017
Closest in time.
F. Burnell, arXiv preprint arXiv:1706.04940 (2017)
2017
Closest in time.
G. Wong, arXiv preprint arXiv:1706.04666 (2017)
2017
Closest in time.
P. Putrov, J. Wang, and S.-T. Yau, Annals of Physics (2017)
2017
Closest in time.
A. Kapustin and R. Thorngren, in Algebra, Geometry, and Physics in the 21st Century (Springer, 2017) pp. 177–202
2017
Closest in time.
A. C. Potter and T. Morimoto, Physical Review B 95
2017
Closest in time.