Matrix pentagons

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the ‘t Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.

Original languageEnglish (US)
Pages (from-to)588-607
Number of pages20
JournalNuclear Physics B
Volume923
DOIs
StatePublished - Oct 1 2017

Fingerprint

matrices
fixing
fermions
tensors
mirrors
scalars
tubes
color
decomposition
operators
physics
expansion
symmetry
products
excitation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Matrix pentagons. / Belitsky, Andrei.

In: Nuclear Physics B, Vol. 923, 01.10.2017, p. 588-607.

Research output: Contribution to journalArticle

Belitsky, Andrei. / Matrix pentagons. In: Nuclear Physics B. 2017 ; Vol. 923. pp. 588-607.
@article{800bc3e864b343f3a90f69fc34a7c457,
title = "Matrix pentagons",
abstract = "The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the ‘t Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.",
author = "Andrei Belitsky",
year = "2017",
month = "10",
day = "1",
doi = "10.1016/j.nuclphysb.2017.08.011",
language = "English (US)",
volume = "923",
pages = "588--607",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

TY - JOUR

T1 - Matrix pentagons

AU - Belitsky, Andrei

PY - 2017/10/1

Y1 - 2017/10/1

N2 - The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the ‘t Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.

AB - The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the ‘t Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.

UR - http://www.scopus.com/inward/record.url?scp=85030861021&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030861021&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2017.08.011

DO - 10.1016/j.nuclphysb.2017.08.011

M3 - Article

AN - SCOPUS:85030861021

VL - 923

SP - 588

EP - 607

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -