Duality and defects in rational conformal field theory
High Energy Physics - Theory
2008-11-26 v2 Category Theory
Abstract
We study topological defect lines in two-dimensional rational conformal field theory. Continuous variation of the location of such a defect does not change the value of a correlator. Defects separating different phases of local CFTs with the same chiral symmetry are included in our discussion. We show how the resulting one-dimensional phase boundaries can be used to extract symmetries and order-disorder dualities of the CFT. The case of central charge c=4/5, for which there are two inequivalent world sheet phases corresponding to the tetra-critical Ising model and the critical three-states Potts model, is treated as an illustrative example.
Cite
@article{arxiv.hep-th/0607247,
title = {Duality and defects in rational conformal field theory},
author = {Jürg Fröhlich and Jürgen Fuchs and Ingo Runkel and Christoph Schweigert},
journal= {arXiv preprint arXiv:hep-th/0607247},
year = {2008}
}
Comments
78 pages, several figures; v2: typos corrected and some references added