A. B. Zamolodchikov, V. A. Fateev, “Representations of the algebra of “parafermion currents” of spin 4/3 in two-dimensional conformal field theory. Minimal models and the tricritical potts $Z_3$ model”, TMF, 71:2 (1987), 163–178; Theoret. and Math. Phys., 71:2 (1987), 451

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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 2, Pages 163–178 (Mi tmf4929)

This article is cited in 56 scientific papers (total in 56 papers)

Representations of the algebra of “parafermion currents” of spin 4/3 in two-dimensional conformal field theory. Minimal models and the tricritical potts

$Z_3$ model

A. B. Zamolodchikov, V. A. Fateev

L. D. Landau Institute for Theoretical Physics, Academy of Sciencies of the USSR

Full-text PDF (1625 kB) Citations (56)

References:

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Abstract: A series is constructed of conformal-invariant solutions of two-dimensional quantum field theory which possess global symmetry under the group

$S_3$ of permutations of three elements.

Received: 29.11.1985

English version:
Theoretical and Mathematical Physics, 1987, Volume 71, Issue 2, Pages 451–462
DOI: https://doi.org/10.1007/BF01028644

Bibliographic databases:

Language: Russian

Citation: A. B. Zamolodchikov, V. A. Fateev, “Representations of the algebra of “parafermion currents” of spin 4/3 in two-dimensional conformal field theory. Minimal models and the tricritical potts

$Z_3$ model”, TMF, 71:2 (1987), 163–178; Theoret. and Math. Phys., 71:2 (1987), 451–462

Citation in format AMSBIB

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\by A.~B.~Zamolodchikov, V.~A.~Fateev

\paper Representations of the algebra of ``parafermion currents'' of spin 4/3 in two-dimensional conformal field theory. Minimal models and the tricritical potts $Z_3$ model

\jour TMF

\yr 1987

\vol 71

\issue 2

\pages 163--178

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\transl

\jour Theoret. and Math. Phys.

\yr 1987

\vol 71

\issue 2

\pages 451--462

\crossref{https://doi.org/10.1007/BF01028644}

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Linking options:

https://www.mathnet.ru/eng/tmf4929

https://www.mathnet.ru/eng/tmf/v71/i2/p163

This publication is cited in the following 56 articles:

Yin Tang, Han Ma, Qicheng Tang, Yin-Chen He, W. Zhu, “Reclaiming the Lost Conformality in a Non-Hermitian Quantum 5-State Potts Model”, Phys. Rev. Lett., 133:7 (2024)
Hamed Pakatchi, “Zk(r)-algebras, FQH ground states, and invariants of binary forms”, Nuclear Physics B, 985 (2022), 116010
Shumpei Iino, “Boundary CFT and Tensor Network Approach to Surface Critical Phenomena of the Tricritical 3-State Potts model”, J Stat Phys, 182:3 (2021)
Masahide Manabe, “n-th parafermion ${\mathcal{W}}_N$ characters from U(N) instanton counting on ℂ2/ℤn”, J. High Energ. Phys., 2020:6 (2020)
Edward O'Brien, Paul Fendley, “Self-dual $S_3$ -invariant quantum chains”, SciPost Phys., 9:6 (2020)
Shumpei Iino, Satoshi Morita, Naoki Kawashima, “Boundary conformal spectrum and surface critical behavior of classical spin systems: A tensor network renormalization study”, Phys. Rev. B, 101:15 (2020)
Jesper Lykke Jacobsen, Jesús Salas, Christian R Scullard, “Phase diagram of the triangular-lattice Potts antiferromagnet”, J. Phys. A: Math. Theor., 50:34 (2017), 345002
Eric Vernier, Jesper Lykke Jacobsen, Jesús Salas, “Q-colourings of the triangular lattice: exact exponents and conformal field theory”, J. Phys. A: Math. Theor., 49:17 (2016), 174004
Itoyama H. Yoshioka R., “Developments of Theory of Effective Prepotential From Extended Seiberg-Witten System and Matrix Models”, Prog. Theor. Exp. Phys., 2015, no. 11, 11B103
M. N. Alfimov, A. V. Litvinov, “On spectrum of ILW hierarchy in conformal field theory II: coset CFT's”, J. High Energ. Phys., 2015:2 (2015)
Rasha M. Farghly, Hitoshi Konno, Kazuyuki Oshima, “Elliptic Algebra $U_{q,p}(\widehat {\mathfrak {g}})$ and Quantum Z-algebras”, Algebr Represent Theor, 18:1 (2015), 103
Shouvik Datta, Justin R. David, Michael Ferlaino, S. Prem Kumar, “Universal correction to higher spin entanglement entropy”, Phys. Rev. D, 90:4 (2014)
H. Itoyama, T. Oota, R. Yoshioka, “q-Virasoro/W algebra at root of unity and parafermions”, Nuclear Physics B, 889 (2014), 25
Gils C. Ardonne E. Trebst S. Huse D.A. Ludwig A.W.W. Troyer M. Wang Z., “Anyonic Quantum Spin Chains: Spin-1 Generalizations and Topological Stability”, Phys. Rev. B, 87:23 (2013)
Belavin A.A., Bershtein M.A., Feigin B.L., Litvinov A.V., Tarnopolsky G.M., “Instanton Moduli Spaces and Bases in Coset Conformal Field Theory”, Commun. Math. Phys., 319:1 (2013), 269–301
Flohr M., Koehn M., “What the Characters of Irreducible Subrepresentations of Jordan Cells Can Tell Us About Lcft”, J. Phys. A-Math. Theor., 46:49, SI (2013), 494007
T. S. Jackson, N. Read, S. H. Simon, “Entanglement subspaces, trial wave functions, and special Hamiltonians in the fractional quantum Hall effect”, Phys. Rev. B, 88:7 (2013)
Vladimir S. Dotsenko, “Two more solutions for the parafermionic chiral algebra with the dimension of the principal parafermionic fields , ,”, Nuclear Physics B, 864:1 (2012), 203
M. N. Alfimov, G. M. Tarnopolsky, “Parafermionic Liouville field theory and instantons on ALE spaces”, J. High Energ. Phys., 2012:2 (2012)
Vladimir S. Dotsenko, “Parafermionic chiral algebra Z3 with the dimension of the principal parafermion fields ψ(z), ψ+(z), Δψ=8/3”, Nuclear Physics B, 863:1 (2012), 130

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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