Abstract
The role of two-dimensional conformal field theories (CFT) in modern physics is determined by their close connection to string theory. If one considers string theory as the Polyakov [1] sum over Riemann surfaces it is easy to notice that from the two-dimensional point of view any conformal theory with the total central charge c=26 in some normalization can be considered together with the two-dimensional metric as a classical solution to the string. The only question is what is the meaning of the formal fields in an arbitrary conformal theory or which “parameterization” of the physical space they correspond to.
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Marshakov, A.V. (1989). Bosonization of Wess-Zumino-Witten Models and Related Conformal Theories. In: Belavin, A.A., Klimyk, A.U., Zamolodchikov, A.B. (eds) Problems of Modern Quantum Field Theory. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84000-5_4
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