Full Logarithmic Conformal Field theory - an Attempt at a Status Report
High Energy Physics - Theory
2021-07-28 v1
Abstract
Logarithmic conformal field theories are based on vertex algebras with non-semisimple representation categories. While examples of such theories have been known for more than 25 years, some crucial aspects of local logarithmic CFTs have been understood only recently, with the help of a description of conformal blocks by modular functors. We present some of these results, both about bulk fields and about boundary fields and boundary states. We also describe some recent progress towards a derived modular functor. This is a summary of work with Terry Gannon, Simon Lentner, Svea Mierach, Gregor Schaumann and Yorck Sommerh\"auser.
Keywords
Cite
@article{arxiv.1903.02838,
title = {Full Logarithmic Conformal Field theory - an Attempt at a Status Report},
author = {Jürgen Fuchs and Christoph Schweigert},
journal= {arXiv preprint arXiv:1903.02838},
year = {2021}
}
Comments
13 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018