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All three-loop four-point correlators of half-BPS operators in planar N=4 SYM

All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.
hep-th
1029-8479
Chicherin, Dmitry
ed88e4f0-3ec5-4b0b-a685-82dd9ec6c720
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Heslop, Paul
20769a63-074d-48eb-a1c3-a29ebe76ba19
Sokatchev, Emery
ffd2327c-2577-4321-8130-2329ede9f452
Chicherin, Dmitry
ed88e4f0-3ec5-4b0b-a685-82dd9ec6c720
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Heslop, Paul
20769a63-074d-48eb-a1c3-a29ebe76ba19
Sokatchev, Emery
ffd2327c-2577-4321-8130-2329ede9f452

Chicherin, Dmitry, Drummond, James, Heslop, Paul and Sokatchev, Emery (2015) All three-loop four-point correlators of half-BPS operators in planar N=4 SYM. Journal of High Energy Physics. (doi:10.1007/JHEP08(2016)053).

Record type: Article

Abstract

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.

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Accepted/In Press date: 9 December 2015
Published date: 9 December 2015
Additional Information: 42 pages, 2 figures
Keywords: hep-th
Organisations: Theory Group

Identifiers

Local EPrints ID: 409706
URI: http://eprints.soton.ac.uk/id/eprint/409706
ISSN: 1029-8479
PURE UUID: 90de9325-2298-4ae9-8429-977cc629dcc9

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Date deposited: 01 Jun 2017 04:06
Last modified: 21 Nov 2021 06:36

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Contributors

Author: Dmitry Chicherin
Author: James Drummond
Author: Paul Heslop
Author: Emery Sokatchev

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