pith. machine review for the scientific record. sign in

arxiv: 1703.08159 · v2 · submitted 2017-03-23 · ✦ hep-th

Recognition: unknown

Crossing Kernels for Boundary and Crosscap CFTs

Matthijs Hogervorst
Authors on Pith no claims yet
classification ✦ hep-th
keywords cftsboundarycrosscapintegralkernelscrossingspacealpha
0
0 comments X
read the original abstract

This paper investigates d-dimensional CFTs in the presence of a codimension-one boundary and CFTs defined on real projective space RP^d. Our analysis expands on the alpha space method recently proposed for one-dimensional CFTs in arXiv:1702.08471. In this work we establish integral representations for scalar two-point functions in boundary and crosscap CFTs using plane-wave-normalizable eigenfunctions of different conformal Casimir operators. CFT consistency conditions imply integral equations for the spectral densities appearing in these decompositions, and we study the relevant integral kernels in detail. As a corollary, we find that both the boundary and crosscap kernels can be identified with special limits of the d=1 crossing kernel.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Crosscap Defects

    hep-th 2026-04 unverdicted novelty 7.0

    Crosscap defects from Z2 spacetime quotients in CFTs yield new crossing equations and O(N) model examples without displacement or tilt operators, forming defect conformal manifolds lacking exactly marginal operators.