Higher spin 3-point functions in 3d CFT using spinor-helicity variables

Higher spin 3-point functions in 3d CFT using spinor-helicity variables

Abstract In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting sp...

Full description

Bibliographic Details
Main Authors: Sachin Jain, Renjan Rajan John, Abhishek Mehta, Amin A. Nizami, Adithya Suresh
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Journal of High Energy Physics
Subjects:
Conformal and W Symmetry
Conformal Field Theory
Field Theories in Lower Dimensions
Higher Spin Symmetry
Online Access:https://doi.org/10.1007/JHEP09(2021)041
id doaj-f3a89d66c34443d6953b2afc57a10629
record_format Article
spelling doaj-f3a89d66c34443d6953b2afc57a106292021-09-12T12:02:37ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021916110.1007/JHEP09(2021)041Higher spin 3-point functions in 3d CFT using spinor-helicity variablesSachin Jain0Renjan Rajan John1Abhishek Mehta2Amin A. Nizami3Adithya Suresh4Indian Institute of Science Education and ResearchIndian Institute of Science Education and ResearchIndian Institute of Science Education and ResearchDepartment of Physics, Ashoka UniversityIndian Institute of Science Education and ResearchAbstract In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting spinor-helicity answers to momentum space, we show that correlators involving spin-s currents can be expressed in terms of some simple conformally invariant conserved structures. This in particular allows us to understand and separate out contact terms systematically, especially for the parity-odd case. We also reproduce some of the correlators using weight-shifting operators.https://doi.org/10.1007/JHEP09(2021)041Conformal and W SymmetryConformal Field TheoryField Theories in Lower DimensionsHigher Spin Symmetry
collection DOAJ
language English
format Article
sources DOAJ
author Sachin Jain
Renjan Rajan John
Abhishek Mehta
Amin A. Nizami
Adithya Suresh
spellingShingle Sachin Jain
Renjan Rajan John
Abhishek Mehta
Amin A. Nizami
Adithya Suresh
Higher spin 3-point functions in 3d CFT using spinor-helicity variables
Journal of High Energy Physics
Conformal and W Symmetry
Conformal Field Theory
Field Theories in Lower Dimensions
Higher Spin Symmetry
author_facet Sachin Jain
Renjan Rajan John
Abhishek Mehta
Amin A. Nizami
Adithya Suresh
author_sort Sachin Jain
title Higher spin 3-point functions in 3d CFT using spinor-helicity variables
title_short Higher spin 3-point functions in 3d CFT using spinor-helicity variables
title_full Higher spin 3-point functions in 3d CFT using spinor-helicity variables
title_fullStr Higher spin 3-point functions in 3d CFT using spinor-helicity variables
title_full_unstemmed Higher spin 3-point functions in 3d CFT using spinor-helicity variables
title_sort higher spin 3-point functions in 3d cft using spinor-helicity variables
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-09-01
description Abstract In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting spinor-helicity answers to momentum space, we show that correlators involving spin-s currents can be expressed in terms of some simple conformally invariant conserved structures. This in particular allows us to understand and separate out contact terms systematically, especially for the parity-odd case. We also reproduce some of the correlators using weight-shifting operators.
topic Conformal and W Symmetry
Conformal Field Theory
Field Theories in Lower Dimensions
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP09(2021)041
work_keys_str_mv AT sachinjain higherspin3pointfunctionsin3dcftusingspinorhelicityvariables
AT renjanrajanjohn higherspin3pointfunctionsin3dcftusingspinorhelicityvariables
AT abhishekmehta higherspin3pointfunctionsin3dcftusingspinorhelicityvariables
AT aminanizami higherspin3pointfunctionsin3dcftusingspinorhelicityvariables
AT adithyasuresh higherspin3pointfunctionsin3dcftusingspinorhelicityvariables
_version_ 1717755310863548416

Similar Items