M. A. Vasiliev, O. A. Gelfond, “Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time”, TMF, 145:1 (2005), 35–65; Theoret. and Math. Phys., 145:1 (2005), 1400

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, 2005, Volume 145, Number 1, Pages 35–65
DOI: https://doi.org/10.4213/tmf1880 (Mi tmf1880)

This article is cited in 46 scientific papers (total in 46 papers)

Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time

M. A. Vasiliev^a, O. A. Gelfond^b

^a P. N. Lebedev Physical Institute, Russian Academy of Sciences
^b Scientific Research Institute for System Studies of RAS

Full-text PDF (375 kB) Citations (46)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf1880

Abstract: We study various $Sp(2M)$-invariant field equations corresponding to rank-$r$ tensor products of the Fock (singleton) representation of $Sp(2M)$. These equations describe localization on “branes” of different dimensions embedded in the generalized space-time $\mathcal M_M$ with matrix (i.e., “central charge”) coordinates. We consider the case of a bilinear tensor product in detail and show that the conserved currents built from bilinears of rank-1 fields in satisfy the field equations for rank-2 fields in $\mathcal M_M$. We also show that rank-2 fields in $\mathcal M_M$ are equivalent to rank-1 fields in $\mathcal M_{2M}$.

Keywords: higher-spin fields, higher symmetries.

Received: 31.01.2005

English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 1, Pages 1400–1424
DOI: https://doi.org/10.1007/s11232-005-0168-9

Bibliographic databases:

Language: Russian

Citation: M. A. Vasiliev, O. A. Gelfond, “Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time”, TMF, 145:1 (2005), 35–65; Theoret. and Math. Phys., 145:1 (2005), 1400–1424

Citation in format AMSBIB

\Bibitem{VasGel05}

\by M.~A.~Vasiliev, O.~A.~Gelfond

\paper Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time

\jour TMF

\yr 2005

\vol 145

\issue 1

\pages 35--65

\mathnet{http://mi.mathnet.ru/tmf1880}

\crossref{https://doi.org/10.4213/tmf1880}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2213306}

\zmath{https://zbmath.org/?q=an:1178.81207}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...145.1400V}

\elib{https://elibrary.ru/item.asp?id=9155042}

\transl

\jour Theoret. and Math. Phys.

\yr 2005

\vol 145

\issue 1

\pages 1400--1424

\crossref{https://doi.org/10.1007/s11232-005-0168-9}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000233342500002}

Linking options:

https://www.mathnet.ru/eng/tmf1880

https://doi.org/10.4213/tmf1880

https://www.mathnet.ru/eng/tmf/v145/i1/p35

This publication is cited in the following 46 articles:

E.O. Spirin, M.A. Vasiliev, “Off-shell fields and conserved currents”, Physics Letters B, 852 (2024), 138625
Yu. A. Tatarenko, M. A. Vasiliev, “Bilinear Fronsdal currents in the AdS4 higher-spin theory”, J. High Energ. Phys., 2024:7 (2024)
Felipe Diaz, Carlo Iazeolla, Per Sundell, “Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual”, J. High Energ. Phys., 2024:10 (2024)
M.A. Vasiliev, “Projectively-compact spinor vertices and space-time spin-locality in higher-spin theory”, Physics Letters B, 834 (2022), 137401
Bychkov A.S. Ushakov K.A. Vasiliev M.A., “The SIGMA_ Cohomology Analysis For Symmetric Higher-Spin Fields”, Symmetry-Basel, 13:8 (2021), 1498
David A., Neiman Ya., “Higher-Spin Symmetry Vs. Boundary Locality, and a Rehabilitation of Ds/Cft”, J. High Energy Phys., 2020, no. 10, 127
Gelfond O.A., Vasiliev M.A., “Spin-Locality of Higher-Spin Theories and Star-Product Functional Classes”, J. High Energy Phys., 2020, no. 3, 002
Kuzenko S.M. Ponds M., “Conformal Geometry and (Super)Conformal Higher-Spin Gauge Theories”, J. High Energy Phys., 2019, no. 5, 113
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
Degtev I.S., Vasiliev M.A., “Field Equations For the Simplest Multi-Particle Higher-Spin Systems”, Phys. Lett. B, 797 (2019), UNSP 134866
Sorokin D. Tsulaia M., “Higher Spin Fields in Hyperspace. a Review”, Universe, 4:1 (2018), 7
Vasiliev M.A., “From Coxeter Higher-Spin Theories to Strings and Tensor Models”, J. High Energy Phys., 2018, no. 8, 051
Bandos I., “Exceptional Field Theories, Superparticles in An Enlarged 11D Superspace and Higher Spin Theories”, Nucl. Phys. B, 925 (2017), 28–62
Vasiliev M.A., “Symmetries and Invariants in Higher-Spin Theory”, Higher Spin Gauge Theories, eds. Brink L., Henneaux M., Vasiliev M., World Scientific Publ Co Pte Ltd, 2017, 1–15
Skvortsov E.D., “On (Un)Broken Higher-Spin Symmetry in Vector Models”, Higher Spin Gauge Theories, ed. Brink L. Henneaux M. Vasiliev M., World Scientific Publ Co Pte Ltd, 2017, 103–137
Vasiliev M.A., “Current Interactions and Holography From the 0-Form Sector of Nonlinear Higher-Spin Equations”, J. High Energy Phys., 2017, no. 10, 111
Goncharov Y.O. Vasiliev M.A., “Higher-Spin Fields and Charges in the Periodic Spinor Space”, J. Phys. A-Math. Theor., 50:27 (2017), 275401
O. A. Gelfond, M. A. Vasiliev, “Symmetries of higher-spin current interactions in four dimensions”, Theoret. and Math. Phys., 187:3 (2016), 797–812
Bae J.-B. Joung E. Lai Sh., “A note on vectorial AdS5/CFT4 duality for spin-j boundary theory”, J. High Energy Phys., 2016, no. 12, 077
Gelfond O.A., Vasiliev M.A., “Higher-rank fields and currents”, J. High Energy Phys., 2016, no. 10, 067

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

Statistics & downloads:
Abstract page:	622
Full-text PDF :	253
References:	92
First page:	1

Registration to the website

Logotypes