Infinite conformal symmetry in two-dimensional quantum field theory

A. A. Belavin, A. M. Polyakov, A. B. Zamolodchikov

Research output: Contribution to journalArticlepeer-review

3775 Scopus citations


We present an investigation of the massless, two-dimentional, interacting field theories. Their basic property is their invariance under an infinite-dimensional group of conformal (analytic) transformations. It is shown that the local fields forming the operator algebra can be classified according to the irreducible representations of Virasoro algebra, and that the correlation functions are built up of the "conformal blocks" which are completely determined by the conformal invariance. Exactly solvable conformal theories associated with the degenerate representations are analyzed. In these theories the anomalous dimensions are known exactly and the correlation functions satisfy the systems of linear differential equations.

Original languageEnglish (US)
Pages (from-to)333-380
Number of pages48
JournalNuclear Physics, Section B
Issue number2
StatePublished - Jul 23 1984

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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