Bulk flows in Virasoro minimal models with boundaries

Abstract

The behaviour of boundary conditions under relevant bulk perturbations is studied for the Virasoro minimal models. In particular, we consider the bulk deformation by the least relevant bulk field which interpolates between the mth and (m-1)st unitary minimal model. In the presence of a boundary this bulk flow induces an RG flow on the boundary, which ensures that the resulting boundary condition is conformal in the (m-1)st model. By combining perturbative RG techniques with insights from defects and results about non-perturbative boundary flows, we determine the endpoint of the flow, i.e. the boundary condition to which an arbitrary boundary condition of the mth theory flows to.

34 pages, 6 figures. v4: Typo in fig. 2 corrected

References in corpus (10)

• Duality and defects in rational conformal field theory
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• Conformal perturbation theory beyond the leading order
• On the boundary form factor program
• Defect flows in minimal models
• Boundary Entropy Can Increase Under Bulk RG Flow
• Symmetries of perturbed conformal field theories
• Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
• Bulk perturbations of N=2 branes
• Bulk induced boundary perturbations for N=1 superconformal field theories

Cited by in corpus (18)

• Entanglement in non-unitary quantum critical spin chains
• Remarks on Boundaries, Anomalies, and Noninvertible Symmetries
• Bootstrapping Non-Invertible Symmetries
• Holographic RG-flows and Boundary CFTs
• Defect flows in minimal models
• On the renormalisation group for the boundary Truncated Conformal Space Approach
• Defect loops in gauged Wess-Zumino-Witten models
• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Exact g-function flow between conformal field theories
• Entanglement asymmetry and symmetry defects in boundary conformal field theory
• Exact g-function flows from the staircase model
• Boundary operators in minimal Liouville gravity and matrix models
• Boundary SymTFT
• Boundary transitions of the O(n) model on a dynamical lattice
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Fusion of interfaces in Landau-Ginzburg models: a functorial approach
• Moduli space coordinates and excited state g-functions