DEFECT LINES, DUALITIES AND GENERALISED ORBIFOLDS

By J. Frohlich, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert. 2009

202 citations recorded by the source corpus.

Defects are a useful tool in the study of quantum field theories. This is illustrated in the example of two-dimensional conformal field theories. We describe how defect lines and their junction points appear in the description of symmetries and order-disorder dualities, as well as in the orbifold construction and a generalisation thereof that covers exceptional modular invariants.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e8474171d8fbe044a5732c56bc61026d084c9b1c

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In Geometry and Topology

In Nuclear and High Energy Physics

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Citations in the corpus

Higher Gauging and Non-invertible Condensation Defects (2022, background): “In fact, it is as if we are gauging a 0-form symmetry in 1+1d [3,35,96,97].”
Orbifold completion of defect bicategories (2012, background): “4 the condition of quantum dimensions for 1-morphisms being invertible plays a central role, and it is natural to ask when this condition can be satisﬁed. In the case of rational CFT it is known (see [FFRS] and references therein) that any two theories with identical central charge and identical lef”
On finite symmetries and their gauging in two dimensions (2017, background): “2 Symmetry category of SU(2) WZW models and other RCFTs Next, we review the symmetry category of RCFTs, following the construction of [27].”