2022•arXiv (Cornell University)Open access

Non-relativistic Conformal Field Theory in the Presence of Boundary

Rajesh K. Gupta, Ramanpreet Singh

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.

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Key concepts: Boundary conformal field theory, Conformal field theory, Primary field, Boundary (topology), Conformal map, Physics, Mathematical physics, Boundary value problem