Fusion of conformal interfaces and bulk induced boundary RG flows

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Abstract

We consider the basic radius changing conformal interface for a free compact boson. After investigating different theoretical aspects of this object we focus on the fusion of this interface with conformal boundary conditions. At fractions of the self-dual radius there exist exceptional D-branes. It was argued in [1] that changing the radius in the bulk induces a boundary RG flow. Following [2] we conjecture that fusing the basic radius changing interface (that changes the radius from a fraction of the self-dual radius) with the exceptional boundary conditions gives the boundary condition which is the end point of the RG flow considered in [1]. By studying the fusion singularities we recover RG logarithms and see, in particular instances, how they get resummed into power singularities. We discuss what quantities need to be calculated to gain full non-perturbative control over the fusion.
Original languageEnglish
Article number114
Pages (from-to)1-33
Number of pages33
JournalJournal of High Energy Physics
Volume2015
Issue number12
DOIs
Publication statusPublished - 17 Dec 2015

Keywords

  • Conformal and W Symmetry
  • D-branes
  • Renormalization Group

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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