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This content will become publicly available on January 10, 2026

Title: A note on coherent states for Virasoro orbits
There are two sets of orbits of the Virasoro group which admit a Kähler structure. We consider the construction of coherent states for the orbit [Formula: see text] which furnishes unitary representations of the group. The procedure is analogous to geometric quantization using a holomorphic polarization. We also give an explicit formula for the Kähler potential for this orbit and comment on normalization of the coherent states. We further explore some of the properties of these states, including the definition of symbols corresponding to operators and their star products. Some comments which touch upon the possibility of applying this to gravity in [Formula: see text] dimensions are also given.  more » « less
Award ID(s):
2412479
PAR ID:
10599909
Author(s) / Creator(s):
Publisher / Repository:
World Scientific Publishing Co
Date Published:
Journal Name:
International Journal of Modern Physics A
Volume:
40
Issue:
01
ISSN:
0217-751X
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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