Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields

Roberto Bonezzi, Nicolas Boulanger, David De Filippi, Per Sundell

Resultado de la investigación: Conference article

Resumen

In this note, we review the results of 1705.03928 on a special class of observables of Vasiliev’s four-dimensional higher spin gravity theory, referred to as zero-form charges. These objects were shown to be twisted open Wilson lines in the noncommutative twistor Z space. For boundary conditions corresponding to higher spin fields in asymptically anti-de Sitter spacetime, their classical perturbative expansion was then proven to start with cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the CFT side, the proof involves the explicit computation of the aforementioned building blocks in arbitrary dimension d > 2, which generalizes known results on 3-point functions for any d > 2, and on n-point functions for d = 3.

Idioma originalEnglish
Número de artículo137
PublicaciónProceedings of Science
Volumen318
EstadoPublished - 1 ene 2017
Evento2017 Corfu Summer Institute "Schools and Workshops on Elementary Particle Physics and Gravity", CORFU 2017 - Corfu, Greece
Duración: 2 sep 201728 sep 2017

Huella dactilar

correlators
boundary conditions
gravitation
operators
expansion

ASJC Scopus subject areas

  • General

Citar esto

Bonezzi, Roberto ; Boulanger, Nicolas ; De Filippi, David ; Sundell, Per. / Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields. En: Proceedings of Science. 2017 ; Vol. 318.
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Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields. / Bonezzi, Roberto; Boulanger, Nicolas; De Filippi, David; Sundell, Per.

En: Proceedings of Science, Vol. 318, 137, 01.01.2017.

Resultado de la investigación: Conference article

TY - JOUR

T1 - Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields

AU - Bonezzi, Roberto

AU - Boulanger, Nicolas

AU - De Filippi, David

AU - Sundell, Per

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this note, we review the results of 1705.03928 on a special class of observables of Vasiliev’s four-dimensional higher spin gravity theory, referred to as zero-form charges. These objects were shown to be twisted open Wilson lines in the noncommutative twistor Z space. For boundary conditions corresponding to higher spin fields in asymptically anti-de Sitter spacetime, their classical perturbative expansion was then proven to start with cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the CFT side, the proof involves the explicit computation of the aforementioned building blocks in arbitrary dimension d > 2, which generalizes known results on 3-point functions for any d > 2, and on n-point functions for d = 3.

AB - In this note, we review the results of 1705.03928 on a special class of observables of Vasiliev’s four-dimensional higher spin gravity theory, referred to as zero-form charges. These objects were shown to be twisted open Wilson lines in the noncommutative twistor Z space. For boundary conditions corresponding to higher spin fields in asymptically anti-de Sitter spacetime, their classical perturbative expansion was then proven to start with cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the CFT side, the proof involves the explicit computation of the aforementioned building blocks in arbitrary dimension d > 2, which generalizes known results on 3-point functions for any d > 2, and on n-point functions for d = 3.

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JO - Proceedings of Science

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