Built on

P. A. Dirac, Wave equations in conformal space , Annals Math. 37
1936
Earlier work this paper cites.
D. McAvity and H. Osborn, Energy momentum tensor in conformal field theories near a boundary , Nucl. Phys. B 406
1993
Earlier work this paper cites.
D. McAvity and H. Osborn, Conformal field theories near a boundary in general dimensions , Nucl. Phys. B 455
1995
Earlier work this paper cites.
E. Gorbar, V. Gusynin and V. Miransky, Dynamical chiral symmetry breaking on a brane in reduced QED , Phys. Rev. D 64
2001
Earlier work this paper cites.
M. Heydeman, C. B. Jepsen, Z. Ji and A. Yarom, Renormalization and conformal invariance of non-local quantum electrodynamics , 2003.07895
Original
2003
Earlier work this paper cites.
E. Lauria, P. Liendo, B. C. Van Rees and X. Zhao, Line and surface defects for the free scalar field , 2005.02413
Original
2005
Earlier work this paper cites.
C. Behan, L. Di Pietro, E. Lauria and B. C. Van Rees, Bootstrapping boundary-localized interactions , 2009.03336
Original
2009
Earlier work this paper cites.
S. Weinberg, Six-dimensional Methods for Four-dimensional Conformal Field Theories , Phys. Rev. D 82
Original
2010
Earlier work this paper cites.

Similar

M. S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning Conformal Correlators , JHEP 11
Original
2011
Cited alongside, same era.
A. Kotikov and S. Teber, Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultrarelativistic limit of graphene , Phys. Rev. D 89
Original
2014
Cited alongside, same era.
M. S. Costa and T. Hansen, Conformal correlators of mixed-symmetry tensors , JHEP 02
Original
2015
Cited alongside, same era.
C. P. Herzog and J. Nian, Thermal corrections to Rényi entropies for conformal field theories , JHEP 06
Original
2015
Cited alongside, same era.
M. Billò, V. Gonçalves, E. Lauria and M. Meineri, Defects in conformal field theory , JHEP 04

Then

T. Hartman, S. Kundu and A. Tajdini, Averaged Null Energy Condition from Causality , JHEP 07
Original
2017
Later among the works it cites.
E. Lauria, M. Meineri and E. Trevisani, Radial coordinates for defect CFTs , JHEP 11
Original
2018
Later among the works it cites.
N. Kobayashi and T. Nishioka, Spinning conformal defects , JHEP 09
Original
2018
Later among the works it cites.
S. Guha and B. Nagaraj, Correlators of Mixed Symmetry Operators in Defect CFTs , JHEP 10
Original
2018
Later among the works it cites.
E. Lauria, M. Meineri and E. Trevisani, Spinning operators and defects in conformal field theory , JHEP 08
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

Two Point Functions in Defect CFTs

Herzog, Christopher P., Shrestha, Abhay

Understand

This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a defect primary, with arbitrary spin.

Although geometrically elegant and ultimately a more powerful approach, the embedding space formalism gets rather cumbersome when dealing with mixed symmetry tensors, especially in the projection to physical space.
The results in this paper provide an alternative method for studying two-point correlation functions for a generic $d$-dimensional conformal field theory with a flat $p$-dimensional defect and $d-p=q$ co-dimensions.
We tabulate some examples of correlation functions involving a conserved current, an energy momentum tensor and a Maxwell field strength, while analysing the constraints arising from conservation and the equations of motion.