Prog. Theor. Phys. Vol. 78 No. 1 (1987) pp. 158-165
Oscillator Representation of Virasoro Algebra and Kac Determinant
Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*Department of Physics, College of Liberal Arts, Kyoto University, Kyoto 606
(Received February 23, 1987)
An algebraic relation between the harmonic oscillator representation of the 2-dimensional conformal algebra and its generic expression in terms of the Virasoro operators themselves is established utilizing the existence condition of the singular vertex operators which were recently constructed by the present authors. A new derivation of the Kac determinant formula is also given from the viewpoint of the oscillator representation with a variable central charge extention.
DOI : 10.1143/PTP.78.158
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