Bulk induced boundary perturbations for N=1 superconformal field theories

Abstract

The N=1 superconformal circle theory consisting of a free boson and a free fermion is considered. At any radius the theory has standard Dirichlet and Neumann branes, but for rational radii there are additional superconformal boundary conditions that are labelled by elements in a quotient of SU(2). We analyse how these branes behave under the radius-changing bulk perturbation. As in the bosonic case, the bulk perturbation induces in general a boundary RG flow whose end-point is a superposition of Dirichlet or Neumann branes.

arXiv comment13 pages, LaTeX

References in corpus (19)

• Boundary Deformation Theory and Moduli Spaces of D-Branes
• Partition functions and double-trace deformations in AdS/CFT
• Conformal boundary states for free bosons and fermions
• Fusion of conformal interfaces
• The conformal boundary states for SU(2) at level 1
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• D-brane superpotentials and RG flows on the quintic
• Exceptional boundary states at c=1
• Boundary Entropy Can Increase Under Bulk RG Flow
• Boundary States of c=1 and 3/2 Rational Conformal Field Theories
• Constraint of B_{d,s}-bar{B}_{d,s} mixing on warped extra-dimension model
• The mixed black hole partition function for the STU model
• Symmetries of perturbed conformal field theories
• A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds
• Brane backreactions and the Fischler-Susskind mechanism in conformal field theory
• Nothing for Branes
• Moduli Space of Unstable D-branes on a Circle of Critical Radius
• Bulk perturbations of N=2 branes
• D-branes at multicritical points

Cited by in corpus (3)

• Bulk flows in Virasoro minimal models with boundaries
• Conformal interfaces between free boson orbifold theories
• Topological defects in string theory orbifolds with target spaces $\mathbb{C}/{\mathbb{Z}}_N$ and $S^1/{\mathbb{Z}}_2$