Logarithmic CFT on the Boundary and the World-Sheet
High Energy Physics - Theory
2007-05-23 v1
Abstract
The correspondences between logarithmic operators in the CFTs on the boundary of AdS_3 and on the world-sheet and dipole fields in the bulk are studied using the free field formulation of the SL(2,C)/SU(2) WZNW model. We find that logarithmic operators on the boundary are related to operators on the world-sheet which are in indecomposable representations of SL(2). The Knizhnik-Zamolodchikov equation is used to determine the conditions for those representations to appear in the operator product expansions of the model.
Keywords
Cite
@article{arxiv.hep-th/0009096,
title = {Logarithmic CFT on the Boundary and the World-Sheet},
author = {Alex Lewis},
journal= {arXiv preprint arXiv:hep-th/0009096},
year = {2007}
}
Comments
19 pages, Latex