2015/11/23 by Will McElgin, McElgin, Will · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.1511.07256
85 pages, 5 figures
arxiv created 2015/11/23 · openalex publication_date 2015/11/23 · arxiv updated 2015/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is a set of notes which reviews and addresses issues in the SL(2,R) conformal field theory, while working primarily in a basis of vertex operators of definite weight under the affine algebra. Following a review of the H3 coset model and the spectrum of the SL(2,R) CFT, derivations are given for the selection rules and the reduction of descendant to primary correlators involving arbitrary spectral flowed modules. Together with a description of the equivalence of correlation functions of fixed total spectral flow, this leads to an enumeration of the minimal set of three-point amplitudes required to determine the fusion rules. The corresponding fusion rules for elements of the spectrum are compared to those which arise through analytic continuation of the OPE of primary fields in the H3 model, and the apparent failure of the closure of the associated SL(2,R) OPE is described in detail. A discussion of the consistency of the respective fusion rules with the conjectured structure of equivalent factorizations of SL(2,R) four-point correlators is presented.