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Heisenberg antiferromagnet. Phys. Rev. B 87, 060405 (2013)
8. Y. Iqbal, D. Poilblanc, F. Becca, Spin-1/2 Heisenberg J 1 −J 2 antiferromagnet on the kagome
lattice. Phys. Rev. B 91, 020402 (2015)
9. Y.-C. He, M.P. Zaletel, M. Oshikawa, F. Pollmann, Signatures of Dirac Cones in a DMRG
study of the Kagome Heisenberg model. Phys. Rev. X 7, 031020 (2017)
10. W. Zhu, X. Chen, Y.-C. He, W. Witczak-Krempa, Entanglement signatures of emergent Dirac
fermions: Kagome spin liquid and quantum criticality. Sci. Adv. 4(11), eaat5535 (2018)
11. S.S. Pufu, Anomalous dimensions of monopole operators in three-dimensional quantum
electrodynamics. Phys. Rev. D 89, 065016 (2014)
12. X.Y. Xu, Y. Qi, L. Zhang, F.F. Assaad, C. Xu, Z.Y. Meng, Monte Carlo study of lattice compact
quantum electrodynamics with fermionic matter: the parent state of quantum phases. Phys. Rev.
X 9, 021022 (2019)
13. X.-Y. Song, C. Wang, A. Vishwanath, Y.-C. He, Unifying description of competing orders in
two-dimensional quantum magnets. Nat. Commun. 10(1), 4254 (2019)
14. M.F. Atiyah, I.M. Singer, The index of elliptic operators on compact manifolds. Bull. Amer.
Math. Soc. 69(3), 422–433 (1963)
15. M. Hermele, Y. Ran, P.A. Lee, X.-G. Wen, Properties of an algebraic spin liquid on the kagome
lattice. Phys. Rev. B 77, 224413 (2008)
16. Y.-M. Lu, G.Y. Cho, A. Vishwanath, Unification of bosonic and fermionic theories of spin
liquids on the kagome lattice. Phys. Rev. B 96, 205150 (2017)
17. T.T. Wu, C.N. Yang, Dirac monopole without strings: monopole harmonics. Nuclear Phys. B
107(3), 365–380 (1976)
18. É. Dupuis, M.B. Paranjape, W. Witczak-Krempa, Transition from a Dirac spin liquid to an
antiferromagnet: monopoles in a QED 3 -Gross-Neveu theory. Phys. Rev. B 100, 094443 (2019)
19. S.M. Chester, L.V. Iliesiu, M. Mezei, S.S. Pufu, Monopole operators in U(1) Chern-Simonsmatter theories. J. High Energy Phys. 2018, 157 (2018)
20. C. Wang, A. Nahum, M.A. Metlitski, C. Xu, T. Senthil, Deconfined quantum critical points:
symmetries and dualities. Phys. Rev. X 7, 031051 (2017)
21. C. Itzykson, M. Nauenberg, Unitary groups: representations and decompositions. Rev. Mod.
Phys. 38, 95 (1966)
É. Dupuis et al.
7. Y. Iqbal, F. Becca, S. Sorella, D. Poilblanc, Gapless spin-liquid phase in the kagome spin-1/2
Heisenberg antiferromagnet. Phys. Rev. B 87, 060405 (2013)
8. Y. Iqbal, D. Poilblanc, F. Becca, Spin-1/2 Heisenberg J 1 −J 2 antiferromagnet on the kagome
lattice. Phys. Rev. B 91, 020402 (2015)
9. Y.-C. He, M.P. Zaletel, M. Oshikawa, F. Pollmann, Signatures of Dirac Cones in a DMRG
study of the Kagome Heisenberg model. Phys. Rev. X 7, 031020 (2017)
10. W. Zhu, X. Chen, Y.-C. He, W. Witczak-Krempa, Entanglement signatures of emergent Dirac
fermions: Kagome spin liquid and quantum criticality. Sci. Adv. 4(11), eaat5535 (2018)
11. S.S. Pufu, Anomalous dimensions of monopole operators in three-dimensional quantum
electrodynamics. Phys. Rev. D 89, 065016 (2014)
12. X.Y. Xu, Y. Qi, L. Zhang, F.F. Assaad, C. Xu, Z.Y. Meng, Monte Carlo study of lattice compact
quantum electrodynamics with fermionic matter: the parent state of quantum phases. Phys. Rev.
X 9, 021022 (2019)
13. X.-Y. Song, C. Wang, A. Vishwanath, Y.-C. He, Unifying description of competing orders in
two-dimensional quantum magnets. Nat. Commun. 10(1), 4254 (2019)
14. M.F. Atiyah, I.M. Singer, The index of elliptic operators on compact manifolds. Bull. Amer.
Math. Soc. 69(3), 422–433 (1963)
15. M. Hermele, Y. Ran, P.A. Lee, X.-G. Wen, Properties of an algebraic spin liquid on the kagome
lattice. Phys. Rev. B 77, 224413 (2008)
16. Y.-M. Lu, G.Y. Cho, A. Vishwanath, Unification of bosonic and fermionic theories of spin
liquids on the kagome lattice. Phys. Rev. B 96, 205150 (2017)
17. T.T. Wu, C.N. Yang, Dirac monopole without strings: monopole harmonics. Nuclear Phys. B
107(3), 365–380 (1976)
18. É. Dupuis, M.B. Paranjape, W. Witczak-Krempa, Transition from a Dirac spin liquid to an
antiferromagnet: monopoles in a QED 3 -Gross-Neveu theory. Phys. Rev. B 100, 094443 (2019)
19. S.M. Chester, L.V. Iliesiu, M. Mezei, S.S. Pufu, Monopole operators in U(1) Chern-Simonsmatter theories. J. High Energy Phys. 2018, 157 (2018)
20. C. Wang, A. Nahum, M.A. Metlitski, C. Xu, T. Senthil, Deconfined quantum critical points:
symmetries and dualities. Phys. Rev. X 7, 031051 (2017)
21. C. Itzykson, M. Nauenberg, Unitary groups: representations and decompositions. Rev. Mod.
Phys. 38, 95 (1966)