q - Virasoro Algebra and the Point - Splitting
نویسندگان
چکیده
It is shown that a particular q-deformation of the Virasoro algebra can be interpreted in terms of the q-local field Φ(x) and the Schwinger-like point-splitted Virasoro currents, quadratic in Φ(x). The q-deformed Virasoro algebra possesses an additional index α, which is directly related to point-splitting of the currents. The generators in the q-deformed case are found to exactly reproduce the results obtained by probing the fields X(z) (string coordinate) and Φ(z) (string momentum) with the non-splitted Virasoro generators and lead to a particular representation of the SU q (1, 1) algebra characterized by the standard conformal dimension J of the field. Some remarks concerning the q-vertex operator for the interacting q-string theory are made.
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