activity
19952023
most citedDuality and defects in rational conformal field theory

358 citations · 796 across the 8 of their papers we have counts for

collaborators

8 papers

math.QA2023

The Evaluation of Graphs on Surfaces for State-Sum Models with Defects

Julian Farnsteiner, Christoph Schweigert

The evaluation of graphs on 2-spheres is a central ingredient of the Turaev-Viro construction of three-dimensional topological field theories. In this article, we introduce a class…

hep-th2007★ 145 cited

Topological defects for the free boson CFT

Jürgen Fuchs, Matthias R. Gaberdiel, Ingo Runkel +1

Two different conformal field theories can be joined together along a defect line. We study such defects for the case where the conformal field theories on either side are single f…

hep-th2006★ 358 cited

Duality and defects in rational conformal field theory

Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel +1

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 correlato…

math.CT2004

Picard groups in rational conformal field theory

Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel +1

Algebra and representation theory in modular tensor categories can be combined with tools from topological field theory to obtain a deeper understanding of rational conformal field…

hep-th2000★ 31 cited

Solitonic sectors, alpha-induction and symmetry breaking boundaries

J. Fuchs, C. Schweigert

We develop a systematic approach to boundary conditions that break bulk symmetries in a general way such that left and right movers are not necessarily connected by an automorphism…

hep-th1999★ 114 cited

The geometry of WZW branes

G. Felder, J. Fröhlich, J. Fuchs +1

The structures in target space geometry that correspond to conformally invariant boundary conditions in WZW theories are determined both by studying the scattering of closed string…