%0 Journal Article %1 Belavin1984Infinite %A Belavin, A. A. %A Polyakov, A. M. %A Zamolodchikov, A. B. %D 1984 %J Nuclear Physics B %K 2d-cft, conformal-block, liouville %N 2 %P 333--380 %R 10.1016/0550-3213(84)90052-x %T Infinite conformal symmetry in two-dimensional quantum field theory %U http://dx.doi.org/10.1016/0550-3213(84)90052-x %V 241 %X 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.

@article{Belavin1984Infinite, abstract = {{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.}}, added-at = {2019-02-26T10:37:35.000+0100}, author = {Belavin, A. A. and Polyakov, A. M. and Zamolodchikov, A. B.}, biburl = {https://www.bibsonomy.org/bibtex/2fe4e46e7ba1136c2d45194d86343bdf0/acastro}, citeulike-article-id = {2523193}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0550-3213(84)90052-x}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6TVC-471XJYJ-55/2/ad84d9110911c1861b372c12b47e940e}, day = 23, doi = {10.1016/0550-3213(84)90052-x}, interhash = {676d59b6da359eddb61268101517c747}, intrahash = {fe4e46e7ba1136c2d45194d86343bdf0}, issn = {05503213}, journal = {Nuclear Physics B}, keywords = {2d-cft, conformal-block, liouville}, month = jul, number = 2, pages = {333--380}, posted-at = {2014-03-12 09:20:33}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Infinite conformal symmetry in two-dimensional quantum field theory}}, url = {http://dx.doi.org/10.1016/0550-3213(84)90052-x}, volume = 241, year = 1984 }