Superconformal operators in Yang-Mills theories on the light-cone

Andrei Belitsky; S. É Derkachov; G. P. Korchemsky; A. N. Manashov

doi:10.1016/j.nuclphysb.2005.06.007

Superconformal operators in Yang-Mills theories on the light-cone

Andrei Belitsky, S. É Derkachov, G. P. Korchemsky, A. N. Manashov

Physics

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

17 Scopus citations

Abstract

We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N = 1, 2, 4 supercharges. These operators have an autonomous scale dependence to one-loop order and determine the eigenfunctions of the dilatation operator in the underlying gauge theory. We demonstrate that for arbitrary N the superconformal operators are given by remarkably simple, universal expressions involving the light-cone superfields. When written in components field, they coincide with the known results obtained by conventional techniques.

Original language	English (US)
Pages (from-to)	191-221
Number of pages	31
Journal	Nuclear Physics B
Volume	722
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.06.007
State	Published - Aug 22 2005

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2005.06.007

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title = "Superconformal operators in Yang-Mills theories on the light-cone",

abstract = "We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N = 1, 2, 4 supercharges. These operators have an autonomous scale dependence to one-loop order and determine the eigenfunctions of the dilatation operator in the underlying gauge theory. We demonstrate that for arbitrary N the superconformal operators are given by remarkably simple, universal expressions involving the light-cone superfields. When written in components field, they coincide with the known results obtained by conventional techniques.",

author = "Andrei Belitsky and Derkachov, {S. {\'E}} and Korchemsky, {G. P.} and Manashov, {A. N.}",

note = "Funding Information: This work was supported in part by the grant 03-01-00837 of the Russian Foundation for Fundamental Research (A.M. and S.D.) and by the grant VH-NG-004 of the Helmholtz Association (A.M.). One of us (G.K.) is grateful to V. Braun for useful discussions and hospitality at the Institute for Theoretical Physics, University of Regensburg. ",

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AU - Belitsky, Andrei

AU - Derkachov, S. É

AU - Korchemsky, G. P.

AU - Manashov, A. N.

N1 - Funding Information: This work was supported in part by the grant 03-01-00837 of the Russian Foundation for Fundamental Research (A.M. and S.D.) and by the grant VH-NG-004 of the Helmholtz Association (A.M.). One of us (G.K.) is grateful to V. Braun for useful discussions and hospitality at the Institute for Theoretical Physics, University of Regensburg.

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N2 - We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N = 1, 2, 4 supercharges. These operators have an autonomous scale dependence to one-loop order and determine the eigenfunctions of the dilatation operator in the underlying gauge theory. We demonstrate that for arbitrary N the superconformal operators are given by remarkably simple, universal expressions involving the light-cone superfields. When written in components field, they coincide with the known results obtained by conventional techniques.

AB - We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N = 1, 2, 4 supercharges. These operators have an autonomous scale dependence to one-loop order and determine the eigenfunctions of the dilatation operator in the underlying gauge theory. We demonstrate that for arbitrary N the superconformal operators are given by remarkably simple, universal expressions involving the light-cone superfields. When written in components field, they coincide with the known results obtained by conventional techniques.

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Superconformal operators in Yang-Mills theories on the light-cone

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