Non-relativistic conformal field theory in the presence of boundary

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.

Automated summary

In this paper, we study the non-relativistic conformal field theory with a planar boundary in a flat space. We compute correlation functions of primary operators and derive the expression for the boundary conformal block. We also extend our discussion to the case of a general curved background with a boundary. As an example, we analyze the spectrum of boundary primary operators and calculate the scaling dimensions in a fermionic theory near one and three spatial dimensions.