Abstract
In the context of twodimensional rational conformal field theories we consider topological junctions of topological defect lines with boundary conditions. We refer to such junctions as open topological defects. For a relevant boundary operator on a conformal boundary condition we consider a commutation relation with an open defect obtained by passing the junction point through the boundary operator. We show that when there is an open defect that commutes or anticommutes with the boundary operator there are interesting implications for the boundary RG flows triggered by this operator. The end points of the flow must satisfy certain constraints which, in essence, require the end points to admit junctions with the same open defects. Furthermore, the open defects in the infrared must generate a subring under fusion that is isomorphic to the analogous subring of the original boundary condition. We illustrate these constraints by a number of explicit examples in Virasoro minimal models.
Original language  English 

Article number  155401 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  53 
Issue number  15 
Early online date  26 Mar 2020 
DOIs  
Publication status  Published  17 Apr 2020 
ASJC Scopus subject areas
 Statistical and Nonlinear Physics
 Statistics and Probability
 Modelling and Simulation
 Mathematical Physics
 Physics and Astronomy(all)
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Profiles

Anatoly Konechny
 School of Mathematical & Computer Sciences  Associate Professor
 School of Mathematical & Computer Sciences, Mathematics  Associate Professor
Person: Academic (Research & Teaching)