Fusion of conformal interfaces

Abstract

We study the fusion of conformal interfaces in the c=1 conformal field theory. We uncover an elegant structure reminiscent of that of black holes in supersymmetric theories. The role of the BPS black holes is played by topological interfaces, which (a) minimize the entropy function, (b) fix through an attractor mechanism one or both of the bulk radii, and (c) are (marginally) stable under splitting. One significant difference is that the conserved charges are logarithms of natural numbers, rather than vectors in a charge lattice, as for BPS states. Besides potential applications to condensed-matter physics and number theory, these results point to the existence of large solution-generating algebras in string theory.

28 pages, 4 figures. Minor clarifications in v2. Sign Mistakes corrected and reference added in v3

References in corpus (10)

• Topological defects for the free boson CFT
• Bosonization and Scale Invariance on Quantum Wires
• The algebra of Wilson-'t Hooft operators
• B-type defects in Landau-Ginzburg models
• Perturbed Defects and T-Systems in Conformal Field Theory
• Symmetries of perturbed conformal field theories
• Quantization of Wilson loops in Wess-Zumino-Witten models
• Asymptotic symmetries of AdS2 Branes
• The general (2,2) gauged sigma model with three--form flux
• Microstates and near-horizon D-brane probes

Cited by in corpus (9)

• Entanglement through conformal interfaces
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Some remarks on defects and T-duality
• Defects and Permutation branes in the Liouville field theory
• Superconformal defects in the tricritical Ising model
• Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
• Bulk induced boundary perturbations for N=1 superconformal field theories
• Casimir effect in the boundary state formalism