Path integral derivation of the U(1) Kac-Moody characters and of the Weyl-Kac denominator
The U(1) Kac-Moody character functions are derived from a path integral expression. It is shown that point-split regularization of the Virasoro generator also exactly regularizes the path integral. An exact derivation of the Weyl-Kac denominator is then given for an arbitrary Lie group using the semiclassical approximation and the results of the U(1) calculation.
Kac-Moody , Weyl-Kac , Path integral
Baaquie, Belal E. (1992). Path integral derivation of the U(1) Kac-Moody characters and of the Weyl-Kac denominator. International Journal of Modern Physics, 7 (13), pp. 2973-2979.
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