Fetching the paper…
Reading the bibliography…
We incorporate the microscopic assumptions that lead to a certain generalization of the Lieb-Schultz-Mattis (LSM) theorem for one-dimensional spin chains into the conformal bootstrap.
1907
Earlier work this paper cites.
1910
Earlier work this paper cites.
Elliott H. Lieb, Theodore Schultz, and Daniel Mattis, “Two soluble models of an antiferromagnetic chain,” Annals Phys. 16
1961
Earlier work this paper cites.
G.’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,” in Recent Developments in Gauge Theories , edited by G.’t Hooft, C. Itzykson, A. Jaffe, H. Lehmann, P. K. Mitter, I. M. Singer, and R. Stora (Springer US, Boston, MA, 1980) pp. 135–157
1980
Earlier work this paper cites.
F. D. M. Haldane, “Nonlinear field theory of large-spin heisenberg antiferromagnets: Semiclassically quantized solitons of the one-dimensional easy-axis néel state,” Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
A.A. Belavin, A.M. Polyakov, and A.B. Zamolodchikov, “Infinite conformal symmetry in two-dimensional quantum field theory,” Nuclear Physics B 241
1984
Earlier work this paper cites.
Daniel Friedan, Zongan Qiu, and Stephen Shenker, “Conformal invariance, unitarity, and critical exponents in two dimensions,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
Ian Affleck and Elliott H. Lieb, “A proof of part of haldane’s conjecture on spin chains,” Letters in Mathematical Physics 12
1986
Earlier work this paper cites.
Alexander B. Zamolodchikov, “Irreversibility of the flux of the renormalization group in a 2d field theory,” Journal of Experimental and Theoretical Physics Letters 43
1986
Earlier work this paper cites.
Joseph Polchinski, “Scale and conformal invariance in quantum field theory,” Nuclear Physics B 303
1988
Earlier work this paper cites.
Gregory Moore and Nathan Seiberg, “Classical and quantum conformal field theory,” Communications in Mathematical Physics 123
1989
Earlier work this paper cites.
Mark de Wild Propitius, “Topological interactions in broken gauge theories,” (1995), arXiv:9511195 [hep-th]
1995
Earlier work this paper cites.
John Cardy, Scaling and Renormalization in Statistical Physics , Cambridge Lecture Notes in Physics (Cambridge University Press, 1996)
1996
Earlier work this paper cites.
Philippe Di Francesco, Pierre Mathieu, and David Sénéchal, Conformal field theory , Graduate texts in contemporary physics (Springer, New York, NY, 1997)
1997
Earlier work this paper cites.
P. Ruelle and O. Verhoeven, “Discrete symmetries of unitary minimal conformal theories,” Nuclear Physics B 535
1998
Earlier work this paper cites.
Masaki Oshikawa, “Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
2002
Earlier work this paper cites.
M. B. Hastings, “Lieb-schultz-mattis in higher dimensions,” Phys. Rev. B 69
2004
Earlier work this paper cites.
Riccardo Rattazzi, Vyacheslav S Rychkov, Erik Tonni, and Alessandro Vichi, “Bounding scalar operator dimensions in 4d CFT,” Journal of High Energy Physics 2008
2008
Earlier work this paper cites.
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen, “Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order,” Physical Review B 82
2010
Earlier work this paper cites.
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen, “Classification of gapped symmetric phases in one-dimensional spin systems,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Simeon Hellerman, “A universal inequality for cft and quantum gravity,” Journal of High Energy Physics 2011
2011
Earlier work this paper cites.
Alessandro Vichi, “A new method to explore conformal field theories in any dimension,” EPFL , 181 (2011)
2011
Earlier work this paper cites.
Sheer El-Showk, Miguel F. Paulos, David Poland, Slava Rychkov, David Simmons-Duffin, and Alessandro Vichi, “Solving the 3d ising model with the conformal bootstrap,” Physical Review D 86
2012
Earlier work this paper cites.
H. Osborn, “Conformal blocks for arbitrary spins in two dimensions,” Physics Letters B 718
2012
Earlier work this paper cites.
Siddharth A. Parameswaran, Ari M. Turner, Daniel P. Arovas, and Ashvin Vishwanath, “Topological order and absence of band insulators at integer filling in non-symmorphic crystals,” Nature Physics 9
2013
Earlier work this paper cites.
Yu Nakayama, “Scale invariance vs conformal invariance,” (2013), arXiv:1302.0884 [hep-th]
2013
Earlier work this paper cites.
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen, “Symmetry protected topological orders and the group cohomology of their symmetry group,” Physical Review B 87
2013
Earlier work this paper cites.
M. Billó, M. Caselle, D. Gaiotto, F. Gliozzi, M. Meineri, and R. Pellegrini, “Line defects in the 3d ising model,” (2013)
2013
Earlier work this paper cites.
Sheer El-Showk, Miguel F. Paulos, David Poland, Slava Rychkov, David Simmons-Duffin, and Alessandro Vichi, “Solving the 3d ising model with the conformal bootstrap II. $$c$$ c -minimization and precise critical exponents,” Journal of Statistical Physics 157
2014
Earlier work this paper cites.
Dominic V. Else and Chetan Nayak, “Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge,” Phys. Rev. B 90
2014
Cited alongside, same era.
Davide Gaiotto, Dalimil Mazac, and Miguel F. Paulos, “Bootstrapping the 3d ising twist defect,” Journal of High Energy Physics 2014
2014
Cited alongside, same era.
Haruki Watanabe, Hoi Chun Po, Ashvin Vishwanath, and Michael Zaletel, “Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals,” Proceedings of the National Academy of Sciences 112
2015
Cited alongside, same era.
David Simmons-Duffin, “A semidefinite program solver for the conformal bootstrap,” Journal of High Energy Physics 2015
2015
Cited alongside, same era.
Lokman Tsui, Hong-Chen Jiang, Yuan-Ming Lu, and Dung-Hai Lee, “Quantum phase transitions between a class of symmetry protected topological states,” Nuclear Physics B 896
Nick Bultinck, “Uv perspective on mixed anomalies at critical points between bosonic symmetry-protected phases,” Phys. Rev. B 100
2019
Later among the works it cites.
Ryan Thorngren and Yifan Wang, “Fusion category symmetry i: Anomaly in-flow and gapped phases,” (2019)
2019
Later among the works it cites.
Mocho Go and Yuji Tachikawa, “autoboot: a generator of bootstrap equations with global symmetry,” Journal of High Energy Physics 2019
2019
Later among the works it cites.
Anatoly Dymarsky, Joao Penedones, Emilio Trevisani, and Alessandro Vichi, “Charting the space of 3d cfts with a continuous global symmetry,” Journal of High Energy Physics 2019
2019
Later among the works it cites.
Clay Córdova, Thomas T. Dumitrescu, and Kenneth Intriligator, “Exploring 2-group global symmetries,” Journal of High Energy Physics 2019
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2015
Cited alongside, same era.
Davide Gaiotto, Anton Kapustin, Nathan Seiberg, and Brian Willett, “Generalized global symmetries,” Journal of High Energy Physics 2015
2015
Cited alongside, same era.
Meng Cheng, Michael Zaletel, Maissam Barkeshli, Ashvin Vishwanath, and Parsa Bonderson, “Translational symmetry and microscopic constraints on symmetry-enriched topological phases: A view from the surface,” Physical Review X 6
2016
Cited alongside, same era.
Marco Billò, Vasco Gonçalves, Edoardo Lauria, and Marco Meineri, “Defects in conformal field theory,” Journal of High Energy Physics 2016
2016
Cited alongside, same era.
Sheng-Jie Huang, Hao Song, Yi-Ping Huang, and Michael Hermele, “Building crystalline topological phases from lower-dimensional states,” Phys. Rev. B 96
2017
Cited alongside, same era.
2017
Cited alongside, same era.
Shunsuke C. Furuya and Masaki Oshikawa, “Symmetry protection of critical phases and a global anomaly in 1 + 1 1+1 dimensions,” Phys. Rev. Lett. 118
2017
Cited alongside, same era.
Gil Young Cho, Chang-Tse Hsieh, and Shinsei Ryu, “Anomaly manifestation of lieb-schultz-mattis theorem and topological phases,” Phys. Rev. B 96
2017
Cited alongside, same era.
Francesco Benini, Clay Córdova, and Po-Shen Hsin, “On 2-group global symmetries and their anomalies,” Journal of High Energy Physics 2019
2019
Later among the works it cites.
Dominic V. Else and Ryan Thorngren, “Topological theory of lieb-schultz-mattis theorems in quantum spin systems,” Phys. Rev. B 101
2020
Later among the works it cites.
Meng Cheng and Dominic J. Williamson, “Relative anomaly in ( 1 + 1 1+1 )d rational conformal field theory,” Phys. Rev. Research 2
2020
Later among the works it cites.
Nathan Benjamin and Ying-Hsuan Lin, “Lessons from the ramond sector,” SciPost Physics Proceedings 9
2020
Later among the works it cites.
Daniel Robbins and Thomas Vandermeulen, “Orbifolds from modular orbits,” Phys. Rev. D 101
2020
Later among the works it cites.
Ying-Hsuan Lin, David Meltzer, Shu-Heng Shao, and Andreas Stergiou, “Bounds on triangle anomalies in (3+1) d d ,” Physical Review D 101
2020
Later among the works it cites.
Clay Córdova and Kantaro Ohmori, “Anomaly constraints on gapped phases with discrete chiral symmetry,” Phys. Rev. D 102
2020
Later among the works it cites.
Yoshiko Ogata, Yuji Tachikawa, and Hal Tasaki, “General lieb–schultz–mattis type theorems for quantum spin chains,” Communications in Mathematical Physics 385
2021
Later among the works it cites.
Ying-Hsuan Lin and Shu-Heng Shao, “ ℤ N \mathbb{Z}_{N} symmetries, anomalies, and the modular bootstrap,” Phys. Rev. D 103
2021
Later among the works it cites.
Yahya Alavirad and Maissam Barkeshli, “Anomalies and unusual stability of multicomponent luttinger liquids in ℤ n × ℤ n \mathbb{Z}_{n}\times\mathbb{Z}_{n} spin chains,” Phys. Rev. B 104
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman, and Amirhossein Tajdini, “Free partition functions and an averaged holographic duality,” Journal of High Energy Physics 2021
2021
Later among the works it cites.
Nathan Benjamin, Scott Collier, A. Liam Fitzpatrick, Alexander Maloney, and Eric Perlmutter, “Harmonic analysis of 2d CFT partition functions,” Journal of High Energy Physics 2021
2021
Later among the works it cites.
Anatoly Dymarsky and Alfred Shapere, “Quantum stabilizer codes, lattices, and CFTs,” Journal of High Energy Physics 2021
2021
Later among the works it cites.
Ruben Verresen, Ryan Thorngren, Nick G. Jones, and Frank Pollmann, “Gapless topological phases and symmetry-enriched quantum criticality,” Phys. Rev. X 11
2021
Later among the works it cites.
GAP, GAP – Groups, Algorithms, and Programming, Version 4.11.1 , The GAP Group (2021)
2021
Later among the works it cites.
Chi-Ming Chang and Ying-Hsuan Lin, “Lorentzian dynamics and factorization beyond rationality,” Journal of High Energy Physics 2021
2021
Later among the works it cites.
Tzu-Chen Huang, Ying-Hsuan Lin, and Sahand Seifnashri, “Construction of two-dimensional topological field theories with non-invertible symmetries,” Journal of High Energy Physics 2021
2021
Later among the works it cites.
Liujun Zou, Yin-Chen He, and Chong Wang, “Stiefel liquids: Possible non-lagrangian quantum criticality from intertwined orders,” Phys. Rev. X 11
2021
Later among the works it cites.
2021
Later among the works it cites.
Alexander Söderberg, “Fusion of conformal defects in four dimensions,” Journal of High Energy Physics 2021
2021
Later among the works it cites.
Nikolaos Angelinos, Debarghya Chakraborty, and Anatoly Dymarsky, “Optimal narain cfts from codes,” (2022)
2022
Closest in time.