Minimal Models with Integrable Local Defects
arXiv:hep-th/9708135 · doi:10.1016/S0550-3213(99)00111-X
Abstract
We describe a general way of constructing integrable defect theories as perturbations of conformal field theory by local defect operators. The method relies on folding the system onto a boundary field theory of twice the central charge. The classification of integrable defect theories obtained in this way parallels that of integrable bulk theories which are a perturbation of the tensor product of two conformal field theories. These include local defect perturbations of all minimal models, as well as of the coset theories based on SO(2n), obtained in this way. We discuss in detail the former case of all the Virasoro minimal models. In the Ising case our construction corresponds to having a spin field as a defect operator; in the folded formulation this is mapped onto an orbifolding of the boundary sine-Gordon theory at , or a version of the anisotropic Kondo model.
18 pages, one figure
References in corpus (1)
Cited by in corpus (19)
- TFT construction of RCFT correlators I: Partition functions
- Permeable conformal walls and holography
- Reflection and Transmission for Conformal Defects
- Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
- TFT construction of RCFT correlators II: Unoriented world sheets
- Order parameter statistics in the critical quantum Ising chain
- Lectures on Branes in Curved Backgrounds
- Symmetry Breaking Boundary States and Defect Lines
- Junctions of anyonic Luttinger wires
- Exploring the Kondo model in and out of equilibrium with alkaline-earth atoms
- Sailing past the End of the World and discovering the Island
- Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
- Integrability of Coupled Conformal Field Theories
- From integrability to conductance, impurity systems
- Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
- Holographic Weak Measurement
- Interface Conformal Anomalies
- Charge accumulation on a Luttinger liquid
- Massive ghost theories with a line of defects