Quantum mechanics

Theoretical physics

Supersymmetry

Robin boundary condition

Pure mathematics

Mathematical physics

Boundary (topology)

Boundary conformal field theory

Boundary value problem

Holography

Field (mathematics)

Field theory (psychology)

Duality (order theory)

Geology

Free boundary problem

Physics

Renormalization group

Mathematics

Mathematical analysis

Geometry

Conformal field theory

Conformal map

Journal of Physics A Mathematical and Theoretical

A review of Boundary and defect conformal field theory: open problems and applications, following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7–8 Sept. 2017. We attempt to provide a broad, bird's-eye view of the latest progress in boundary and defect conformal field theory in various sub-fields of theoretical physics, including the renormalization group, integrability, conformal bootstrap, topological field theory, supersymmetry, holographic duality, and more. We also discuss open questions and promising research directions in each of these sub-fields, and combinations thereof.

Boundary and defect CFT: open problems and applications