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Infinite conformal symmetry in two-dimensional quantum field theory
Belavin, A.A. ; Polyakov, A.M. ; Zamolodchikov, A.B.
Nuclear physics. B, 1984-01, Vol.241 (2), p.333-380
[Peer Reviewed Journal]
Amsterdam: Elsevier B.V
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Title:
Infinite conformal symmetry in two-dimensional quantum field theory
Author:
Belavin, A.A.
;
Polyakov, A.M.
;
Zamolodchikov, A.B.
Subjects:
Classical and quantum physics: mechanics and fields
;
Exact sciences and
technology
;
Physics
;
Theory of quantized fields
Is Part Of:
Nuclear physics. B, 1984-01, Vol.241 (2), p.333-380
Description:
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.
Publisher:
Amsterdam: Elsevier B.V
Language:
English
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