Three-point functions of higher-spin supercurrents in 4D N=1 SCFT: General formalism for arbitrary superspins

Evgeny I. Buchbinder; Jessica Hutomo; Benjamin J. Stone

doi:10.1103/PhysRevD.110.085013

Three-point functions of higher-spin supercurrents in 4D N=1 SCFT: General formalism for arbitrary superspins

Evgeny I. Buchbinder, Jessica Hutomo, Benjamin J. Stone

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We analyze the general structure of the three-point functions involving conserved higher-spin "vectorlike" supercurrents Js(z)≔Jα(s)α˙(s)(z) in four-dimensional N=1 superconformal field theory. Using the constraints of superconformal symmetry and superfield conservation equations, we utilize a computational approach to analyze the general structure of the three-point function ⟨Js1(z1)Js2′(z2)Js3′′(z3).

Original language	English
Article number	085013
Number of pages	36
Journal	Physical Review D
Volume	110
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.110.085013
Publication status	Published - 15 Oct 2024

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10.1103/PhysRevD.110.085013Licence: CC BY

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title = "Three-point functions of higher-spin supercurrents in 4D N=1 SCFT: General formalism for arbitrary superspins",

abstract = "We analyze the general structure of the three-point functions involving conserved higher-spin {"}vectorlike{"} supercurrents Js(z)≔Jα(s)α˙(s)(z) in four-dimensional N=1 superconformal field theory. Using the constraints of superconformal symmetry and superfield conservation equations, we utilize a computational approach to analyze the general structure of the three-point function ⟨Js1(z1)Js2′(z2)Js3′′(z3).",

author = "Buchbinder, {Evgeny I.} and Jessica Hutomo and Stone, {Benjamin J.}",

note = "Publisher Copyright: {\textcopyright} and provide a general classification of the results. We demonstrate that the three-point function is fixed up to 2 min(si)+2 independent conserved structures, which we propose to hold for arbitrary superspins. In addition, we show that the conserved structures can be classified as parity-even or parity-odd in superspace based on their transformation properties under superinversion.",

year = "2024",

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doi = "10.1103/PhysRevD.110.085013",

language = "English",

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issn = "2470-0010",

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T1 - Three-point functions of higher-spin supercurrents in 4D N=1 SCFT

T2 - General formalism for arbitrary superspins

AU - Buchbinder, Evgeny I.

AU - Hutomo, Jessica

AU - Stone, Benjamin J.

N1 - Publisher Copyright: © and provide a general classification of the results. We demonstrate that the three-point function is fixed up to 2 min(si)+2 independent conserved structures, which we propose to hold for arbitrary superspins. In addition, we show that the conserved structures can be classified as parity-even or parity-odd in superspace based on their transformation properties under superinversion.

PY - 2024/10/15

Y1 - 2024/10/15

N2 - We analyze the general structure of the three-point functions involving conserved higher-spin "vectorlike" supercurrents Js(z)≔Jα(s)α˙(s)(z) in four-dimensional N=1 superconformal field theory. Using the constraints of superconformal symmetry and superfield conservation equations, we utilize a computational approach to analyze the general structure of the three-point function ⟨Js1(z1)Js2′(z2)Js3′′(z3).

AB - We analyze the general structure of the three-point functions involving conserved higher-spin "vectorlike" supercurrents Js(z)≔Jα(s)α˙(s)(z) in four-dimensional N=1 superconformal field theory. Using the constraints of superconformal symmetry and superfield conservation equations, we utilize a computational approach to analyze the general structure of the three-point function ⟨Js1(z1)Js2′(z2)Js3′′(z3).

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DO - 10.1103/PhysRevD.110.085013

M3 - Article

AN - SCOPUS:85207313028

SN - 2470-0010

VL - 110

JO - Physical Review D

JF - Physical Review D

IS - 8

M1 - 085013

ER -

Three-point functions of higher-spin supercurrents in 4D N=1 SCFT: General formalism for arbitrary superspins

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Conformal Field Theories with Higher Spin Symmetry and Duality Invariance

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Three-point functions of higher-spin supercurrents in 4D N=1 SCFT: General formalism for arbitrary superspins

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Conformal Field Theories with Higher Spin Symmetry and Duality Invariance

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