M. A. Vasiliev, O. V. Sheinkman, “Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions”, TMF, 128:3 (2001), 378–394; Theoret. and Math. Phys., 128:3 (2001), 1155

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 3, Pages 378–394
DOI: https://doi.org/10.4213/tmf502 (Mi tmf502)

This article is cited in 40 scientific papers (total in 40 papers)

Conformal Higher-Spin Symmetry for Matter Fields in

2 + 1

$2+1$ Dimensions

M. A. Vasiliev, O. V. Sheinkman

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Full-text PDF (274 kB) Citations (40)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf502

Abstract: A simple realization of the conformal higher-spin symmetry on the free massless matter fields in three dimensions is given in terms of an auxiliary Fock module both in the flat and in the

$AdS_3$ case. The duality between nonunitary field theory representations of the conformal algebra and the unitary (singleton-type) representations of the

$3d$ conformal algebra

$sp(4,\mathcal R)$ is formulated explicitly in terms of a certain Bogoliubov transformation.

Received: 25.04.2001

English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 3, Pages 1155–1168
DOI: https://doi.org/10.1023/A:1012399417069

Bibliographic databases:

Language: Russian

Citation: M. A. Vasiliev, O. V. Sheinkman, “Conformal Higher-Spin Symmetry for Matter Fields in

$2+1$ Dimensions”, TMF, 128:3 (2001), 378–394; Theoret. and Math. Phys., 128:3 (2001), 1155–1168

Citation in format AMSBIB

\Bibitem{VasShe01}

\by M.~A.~Vasiliev, O.~V.~Sheinkman

\paper Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions

\jour TMF

\yr 2001

\vol 128

\issue 3

\pages 378--394

\mathnet{http://mi.mathnet.ru/tmf502}

\crossref{https://doi.org/10.4213/tmf502}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1902848}

\zmath{https://zbmath.org/?q=an:1037.81088}

\transl

\jour Theoret. and Math. Phys.

\yr 2001

\vol 128

\issue 3

\pages 1155--1168

\crossref{https://doi.org/10.1023/A:1012399417069}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172327200003}

Linking options:

https://www.mathnet.ru/eng/tmf502

https://doi.org/10.4213/tmf502

https://www.mathnet.ru/eng/tmf/v128/i3/p378

This publication is cited in the following 40 articles:

V. E. Didenko, E. D. Skvortsov, Lecture Notes in Physics, 1028, Introductory Lectures on Higher-Spin Theories, 2024, 269
Rafael Álvarez-García, Ralph Blumenhagen, Christian Kneißl, Andriana Makridou, Lorenz Schlechter, “Swampland conjectures for an almost topological gravity theory”, Physics Letters B, 825 (2022), 136861
Kuzenko S.M. Lindstrom U. Raptakis E.S.N. Tartaglino-Mazzucchelli G., “Symmetries of N = (1,0) Supergravity Backgrounds in Six Dimensions”, J. High Energy Phys., 2021, no. 3, 157
Kuzenko S.M. Raptakis E.S.N., “Symmetries of Supergravity Backgrounds and Supersymmetric Field Theory”, J. High Energy Phys., 2020, no. 4, 133
Goncharov Y.O. Vasiliev M.A., “Scattering Amplitudes as Multi-Particle Higher-Spin Charges in the Correspondence Space”, J. Phys. A-Math. Theor., 52:38 (2019), 384006
Neiman Ya., “The Holographic Dual of the Penrose Transform”, J. High Energy Phys., 2018, no. 1, 100
Vasiliev M.A., “From Coxeter Higher-Spin Theories to Strings and Tensor Models”, J. High Energy Phys., 2018, no. 8, 051
Basile T. Bekaert X. Joung E., “Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra”, J. High Energy Phys., 2018, no. 11, 167
Vasiliev M.A., “Symmetries and Invariants in Higher-Spin Theory”, Higher Spin Gauge Theories, ed. Brink L. Henneaux M. Vasiliev M., World Scientific Publ Co Pte Ltd, 2017, 1–15
Basile T. Bonezzi R. Boulanger N., “The Schouten Tensor as a Connection in the Unfolding of 3D Conformal Higher-Spin Fields”, J. High Energy Phys., 2017, no. 4, 054
Sleight Ch., “Interactions in Higher-Spin Gravity: a Holographic Perspective”, J. Phys. A-Math. Theor., 50:38 (2017), 383001
Nilsson B.E.W., “On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field”, J. High Energy Phys., 2016, no. 8, 142
Nilsson B.E.W., “Towards An Exact Frame Formulation of Conformal Higher Spins in Three Dimensions”, J. High Energy Phys., 2015, no. 9, 078
M. A. Vasiliev, Lecture Notes in Physics, 892, Modifications of Einstein's Theory of Gravity at Large Distances, 2015, 227
Gelfond O.A., Vasiliev M.A., “Operator Algebra of Free Conformal Currents via Twistors”, Nucl. Phys. B, 876:3 (2013), 871–917
Giombi S., Yin X., “The Higher Spin/Vector Model Duality”, J. Phys. A-Math. Theor., 46:21 (2013), 214003
Vasiliev M.A., “Holography, Unfolding and Higher Spin Theory”, J. Phys. A-Math. Theor., 46:21 (2013), 214013
Boulanger N., Ponomarev D., Skvortsov E., Taronna M., “On the Uniqueness of Higher-Spin Symmetries in AdS and CFT”, Int. J. Mod. Phys. A, 28:31 (2013), 1350162
Bekaert X., Boulanger N., Sundell P.A., “How Higher-Spin Gravity Surpasses the Spin-Two Barrier”, Rev. Mod. Phys., 84:3 (2012)
Creutzig T., Gao P., Linshaw A.R., “Fermionic Coset, Critical Level W-4((2))-Algebra and Higher Spins”, J. High Energy Phys., 2012, no. 4, 031

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	1142
Full-text PDF :	229
References:	63
First page:	1

Registration to the website

Logotypes