Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-05-17
Int.J.Mod.Phys.A9:419-460,1994
Physics
High Energy Physics
High Energy Physics - Theory
45 pages, Latex, UCB-PTH-93/18, LBL-34111, BONN-HE-93/17. We factorize the biconformal nest correlators of the first version,
Scientific paper
10.1142/S0217751X94000200
The affine-Virasoro Ward identities are a system of non-linear differential equations which describe the correlators of all affine-Virasoro constructions, including rational and irrational conformal field theory. We study the Ward identities in some detail, with several central results. First, we solve for the correlators of the affine-Sugawara nests, which are associated to the nested subgroups $g\supset h_1 \supset \ldots \supset h_n$. We also find an equivalent algebraic formulation which allows us to find global solutions across the set of all affine-Virasoro constructions. A particular global solution is discussed which gives the correct nest correlators, exhibits braiding for all affine-Virasoro correlators, and shows good physical behavior, at least for four-point correlators at high level on simple $g$. In rational and irrational conformal field theory, the high-level fusion rules of the broken affine modules follow the Clebsch-Gordan coefficients of the representations.
Halpern M. B.
Obers Niels A.
No associations
LandOfFree
Solving the Ward Identities of Irrational Conformal Field Theory 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 Solving the Ward Identities of Irrational Conformal Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solving the Ward Identities of Irrational Conformal Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-463462