Gluon amplitudes as 2d conformal correlators

Sabrina Pasterski; Shu Heng Shao; Andrew Strominger

doi:10.1103/PhysRevD.96.085006

Gluon amplitudes as 2d conformal correlators

Sabrina Pasterski
, Shu Heng Shao
, Andrew Strominger

Institute for Theoretical Physics

Harvard University

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

189 Scopus citations

Abstract

Recently, spin-one wave functions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wave functions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The Britto-Cachazo-Feng-Witten (BCFW) recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.

Original language	English
Article number	085006
Journal	Physical Review D
Volume	96
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.96.085006
State	Published - Oct 15 2017

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10.1103/PhysRevD.96.085006

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title = "Gluon amplitudes as 2d conformal correlators",

abstract = "Recently, spin-one wave functions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wave functions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The Britto-Cachazo-Feng-Witten (BCFW) recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.",

author = "Sabrina Pasterski and Shao, \{Shu Heng\} and Andrew Strominger",

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AU - Pasterski, Sabrina

AU - Shao, Shu Heng

AU - Strominger, Andrew

PY - 2017/10/15

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N2 - Recently, spin-one wave functions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wave functions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The Britto-Cachazo-Feng-Witten (BCFW) recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.

AB - Recently, spin-one wave functions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wave functions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The Britto-Cachazo-Feng-Witten (BCFW) recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.

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U2 - 10.1103/PhysRevD.96.085006

DO - 10.1103/PhysRevD.96.085006

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SN - 2470-0010

VL - 96

JO - Physical Review D

JF - Physical Review D

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ER -

Gluon amplitudes as 2d conformal correlators

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