2006/07/31 by Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Condensed matter physics #Conformal field theory #Conformal map #Conformal symmetry #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Geometry #Homogeneous space #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Physics #Potts model #Pure mathematics #Quantum many-body systems #Symmetry (geometry) #Theoretical physics #hep-th #math.CT
paper · pdf · doi:10.1016/j.nuclphysb.2006.11.017
published as Nucl.Phys.B763:354-430,2007 · 78 pages, several figures; v2: typos corrected and some references added
openalex publication_date 2006/12/14 · arxiv created 2007/01/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.