Department of Physics Papers
Title
Document Type
Journal Article
Date of this Version
12-1990
Publication Source
Communications in Mathematical Physics
Volume
134
Issue
3
Start Page
539
Last Page
554
DOI
10.1007/BF02098446
Abstract
The representations of a compact Lie group G can be studied via the construction of an associated “model space”. This space has the property that when geometrically quantized its Hilbert space contains every irreducible representation of G just once. We construct an analogous space for the group Diff S1. It is naturally a complex manifold with a holomorphic, free action of Diff S1 preserving a family of pseudo-Kahler structures.All of the “good” coadjoint orbits are obtained from our space by Hamiltonian constraint reduction. We briefly discuss the connection to the work of Alekseev and Shatashvili.
Recommended Citation
La, H., Nelson, P. C., & Schwarz, A. S. (1990). Virasoro Model Space. Communications in Mathematical Physics, 134 (3), 539-554. http://dx.doi.org/10.1007/BF02098446
Date Posted: 01 May 2017
This document has been peer reviewed.