Non-relativistic Conformal Field Theory in the Presence of Boundary
arXiv:2201.01964 · doi:10.1007/JHEP03(2022)171
Abstract
We study non-relativistic conformal field theory on a flat space in the presence of a planar boundary. We compute correlation functions of primary operators and obtain the expression for the boundary conformal block. We also discuss the non-relativistic conformal field theory on a general curved background in the presence of a boundary. As an example, we discuss the spectrum of boundary primary operator and compute scaling dimensions in a fermionic theory near one and three spatial dimensions.
20 pages
References in corpus (11)
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Nonrelativistic conformal field theories
- Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
- Epsilon expansion for a Fermi gas at infinite scattering length
- Spacetime Symmetries of the Quantum Hall Effect
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Boundary Conformal Field Theory and a Boundary Central Charge
- Fermi gas near unitarity around four and two spatial dimensions
- Displacement Operators and Constraints on Boundary Central Charges
- Irreversibility in quantum field theories with boundaries
- Operator Product Expansion and Conservation Laws in Non-Relativistic Conformal Field Theories