Conformal quantum field theory models in two dimensions having Z3 symmetry

V. A. Fateev; A. B. Zamolodchikov

doi:10.1016/0550-3213(87)90166-0

Conformal quantum field theory models in two dimensions having Z₃ symmetry

V. A. Fateev
, A. B. Zamolodchikov

Institute for Theoretical Physics

Landau Inst. for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

474 Scopus citations

Abstract

An infinite set of conformal quantum field theory models is constructed in two dimensions. The models possess an infinite-dimensional symmetry generated by a local spin-3 current in addition to the conformal symmetry, and exhibit Z₃ invariance. The simplest model of this set describes the critical point of a 2-state Potts model.

Original language	English
Pages (from-to)	644-660
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	280
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90166-0
State	Published - 1987

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title = "Conformal quantum field theory models in two dimensions having Z3 symmetry",

abstract = "An infinite set of conformal quantum field theory models is constructed in two dimensions. The models possess an infinite-dimensional symmetry generated by a local spin-3 current in addition to the conformal symmetry, and exhibit Z3 invariance. The simplest model of this set describes the critical point of a 2-state Potts model.",

author = "Fateev, \{V. A.\} and Zamolodchikov, \{A. B.\}",

year = "1987",

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AU - Fateev, V. A.

AU - Zamolodchikov, A. B.

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N2 - An infinite set of conformal quantum field theory models is constructed in two dimensions. The models possess an infinite-dimensional symmetry generated by a local spin-3 current in addition to the conformal symmetry, and exhibit Z3 invariance. The simplest model of this set describes the critical point of a 2-state Potts model.

AB - An infinite set of conformal quantum field theory models is constructed in two dimensions. The models possess an infinite-dimensional symmetry generated by a local spin-3 current in addition to the conformal symmetry, and exhibit Z3 invariance. The simplest model of this set describes the critical point of a 2-state Potts model.

UR - https://www.scopus.com/pages/publications/9744223160

U2 - 10.1016/0550-3213(87)90166-0

DO - 10.1016/0550-3213(87)90166-0

M3 - Article

AN - SCOPUS:9744223160

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VL - 280

SP - 644

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JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Conformal quantum field theory models in two dimensions having Z₃ symmetry

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