Non-relativistic Conformal Field Theory in the Presence of Boundary

TL;DR

This paper explores non-relativistic conformal field theories with boundaries, calculating correlation functions, boundary conformal blocks, and scaling dimensions, extending to curved backgrounds and fermionic theories in various dimensions.

Contribution

It provides new analytical results for boundary correlation functions and conformal blocks in non-relativistic CFTs, including curved backgrounds and fermionic models.

Findings

Derived boundary conformal blocks for non-relativistic CFTs.

Computed scaling dimensions of boundary operators in fermionic theories.

Extended analysis to curved backgrounds with boundaries.

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.