TFT construction of RCFT correlators III: Simple currents
High Energy Physics - Theory
2010-04-05 v2 Category Theory
Quantum Algebra
Abstract
We use simple currents to construct symmetric special Frobenius algebras in modular tensor categories. We classify such simple current type algebras with the help of abelian group cohomology. We show that they lead to the modular invariant torus partition functions that have been studied by Kreuzer and Schellekens. We also classify boundary conditions in the associated conformal field theories and show that the boundary states are given by the formula proposed in hep-th/0007174. Finally, we investigate conformal defects in these theories.
Keywords
Cite
@article{arxiv.hep-th/0403157,
title = {TFT construction of RCFT correlators III: Simple currents},
author = {Juergen Fuchs and Ingo Runkel and Christoph Schweigert},
journal= {arXiv preprint arXiv:hep-th/0403157},
year = {2010}
}
Comments
78 pages, table of contents, several figures; v2: corrected definition 2.20, added remark to section 4.3