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Integrability of One-Parameter Groups Generated by the Virasoro Operators

✍ Scribed by Takashi Hashimoto

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
382 KB
Volume
149
Category
Article
ISSN
0022-1236

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✦ Synopsis

Local one-parameter groups generated by the Virasoro operators were constructed via Feynman path integrals on a coadjoint of the infinite-dimensional Heisenberg group in the previous paper [T. Hashimoto, 1996. J. Funct. Anal. 137, 191 218]. The main purpose of this paper is to prove that the one-parameter groups satisfy the integrability condition, i.e., the actions of the one-parameter subgroups are compatible with the action of the Virasoro algebra.

1997 Academic Press In [FK], Frenkel and Kac gave the explicit formulas of one-parameter groups generated by L p for p=0, \1. They realized a complex polarization of the infinite-dimensional Heisenberg algebra as a Hardy space. The oneparameter groups act on the space of holomorphic functionals on the article no. FU963090

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