Date of this Version
Communications in Mathematical Physics
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.
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.