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

N1 - Funding Information:
D.D.F. wants to thank the organisers of the Corfu Summer Institute 2017 “School and Workshops on Elementary Particle Physics and Gravity”, and in particular the ones of the Training School ”Quantum Spacetime and Physics Models”, where this work was presented. The work of R.B. is supported by a PDR “Gravity and extensions” from the F.R.S.-FNRS (Belgium). N.B. is F.R.S.-FNRS Senior Research Associate (Belgium). D.D.F is F.R.S.-FNRS Research Fellow. The work of P.S. is supported by Fondecyt Regular grant No 1140296, Conicyt grant DPI 20140115 and UNAB internal grant DI-1382-16/R.

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.

UR - http://www.scopus.com/inward/record.url?scp=85063585217&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85063585217

SN - 1824-8039

VL - 318

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 137

T2 - 2017 Corfu Summer Institute "Schools and Workshops on Elementary Particle Physics and Gravity", CORFU 2017

Y2 - 2 September 2017 through 28 September 2017

ER -