Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-27
Nucl.Phys. B457 (1995) 343-356
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX
Scientific paper
10.1016/0550-3213(95)00503-X
Since the work of Bershadsky and Ooguri and Feigin and Frenkel it is well known that correlators of $SL(2)$ current algebra for admissible representations should reduce to correlators for conformal minimal models. A precise proposal for this relation has been given at the level of correlators: When $SL(2)$ primary fields are expressed as $\phi_j(z_n,x_n)$ with $x_n$ being a variable to keep track of the $SL(2)$ representation multiplet (possibly infinitely dimensional for admissible representations), then the minimal model correlator is supposed to be obtained simply by putting all $x_n=z_n$. Although strong support for this has been presented, to the best of our understanding a direct, simple proof seems to be missing so in this paper we present one based on the free field Wakimoto construction and our previous study of that in the present context. We further verify that the explicit $SL(2)$ correlators we have published in a recent preprint reduce in the above way, up to a constant which we also calculate. We further discuss the relation to more standard formulations of hamiltonian reduction.
Petersen Jens Lyng
Rasmussen Jorgen
Yu Ming
No associations
LandOfFree
Hamiltonian Reduction of $SL(2)$-theories at the Level of Correlators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hamiltonian Reduction of $SL(2)$-theories at the Level of Correlators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian Reduction of $SL(2)$-theories at the Level of Correlators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-384140