Non-relativistic Conformal Field Theory in the Presence of Boundary

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.

arXiv comment20 pages

References in corpus (29)

• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Nonrelativistic conformal field theories
• SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
• Conformal Field Theories Near a Boundary in General Dimensions
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature
• Torsional Newton-Cartan Geometry and Lifshitz Holography
• 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
• Schr"odinger invariance and space-time symmetries
• A Constraint on Defect and Boundary Renormalization Group Flows
• Boundary Conformal Field Theory and a Boundary Central Charge
• Energy Momentum Tensor in Conformal Field Theories Near a Boundary
• Conformal Invariance for Non-Relativistic Field Theory
• Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
• On the coupling of Galilean-invariant field theories to curved spacetime
• Towards a $C$-theorem in defect CFT
• Fermi gas near unitarity around four and two spatial dimensions
• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• Displacement Operators and Constraints on Boundary Central Charges
• Boundary terms of conformal anomaly
• Irreversibility in quantum field theories with boundaries
• Conformal anomalies of CFT's with boundaries
• Operator Product Expansion and Conservation Laws in Non-Relativistic Conformal Field Theories
• Anomalies for Galilean fields
• Non-Relativistic Scale Anomalies
• OPE convergence in non-relativistic conformal field theories
• Nonrelativistic trace and diffeomorphism anomalies in particle number background

Cited by in corpus (1)

• Spatially Random Disorder in Unitary Fermion System in $(4-\epsilon )$-Dimensions and Effective Action at Finite Temperature