nLab Laughlin wavefunctions as conformal blocks -- references

Laughlin wavefunctions as conformal blocks

Relating anyonic topologically ordered Laughlin wavefunctions to conformal blocks:

• Gregory Moore, Nicholas Read, Section 2.2 of: Nonabelions in the fractional quantum hall effect, Nuclear Physics B 360 2–3 (1991) 362-396 $[$doi:10.1016/0550-3213(91)90407-O, pdf$]$

• Xiao-Gang Wen, Non-Abelian statistics in the fractional quantum Hall states, Phys. Rev. Lett. 66 (1991) 802 $[$doi:10.1103/PhysRevLett.66.802, pdf$]$

• B. Blok, Xiao-Gang Wen, Many-body systems with non-abelian statistics, Nuclear Physics B 374 3 (1992) 615-646 $[$doi:10.1016/0550-3213(92)90402-W$]$

• Xiao-Gang Wen, Yong-Shi Wu, Chiral operator product algebra hidden in certain fractional quantum Hall wave functions, Nucl. Phys. B 419 (1994) 455-479 $[$doi:10.1016/0550-3213(94)90340-9$]$

Review in the broader context of the CS-WZW correspondence:

• Daniel C. Cabra, Gerardo L. Rossini, Explicit connection between conformal field theory and 2+1 Chern-Simons theory, Mod. Phys. Lett. A 12 (1997) 1687-1697 $[$arXiv:hep-th/9506054, doi:10.1142/S0217732397001722$]$

Specifically for logarithmic CFT:

• Victor Gurarie, Michael Flohr, Chetan Nayak, The Haldane-Rezayi Quantum Hall State and Conformal Field Theory, Nucl. Phys. B 498 (1997) 513-538 $[$arXiv:cond-mat/9701212, doi:10.1016/S0550-3213%2897%2900351-9$]$

• Michael Flohr, §5.4 in: Bits and pieces in logarithmic conformal field theory, International Journal of Modern Physics A, 18 25 (2003) 4497-4591 $[$doi:10.1142/S0217751X03016859, arXiv:hep-th/0111228$]$

Specifically for su(2)-anyons:

• Kazusumi Ino, Modular Invariants in the Fractional Quantum Hall Effect, Nucl. Phys. B 532 (1998) 783-806 $[$doi:10.1016/S0550-3213(98)00598-7, arXiv:cond-mat/9804198$]$

• Nicholas Read, Edward Rezayi, Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level, Phys. Rev. B 59 (1999) 8084 $[$doi:10.1103/PhysRevB.59.8084$]$

• Ludmil Hadjiivanov, Lachezar S. Georgiev, Braiding Fibonacci anyons [arxiv:2404.01778]