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TMF, 2005, Volume 145, Number 1, Pages 35–65 (Mi tmf1880)  

This article is cited in 35 scientific papers (total in 35 papers)

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

M. A. Vasilieva, O. A. Gelfondb

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

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

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

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English version:
Theoretical and Mathematical Physics, 2005, 145:1, 1400–1424

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Received: 31.01.2005

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
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    Citing articles on Google Scholar: Russian citations, English citations
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    13. Tsulaia M., “On Tensorial Spaces and Bcfw Recursion Relations for Higher Spin Fields”, Int. J. Mod. Phys. A, 27:11 (2012), 1230011  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
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    18. Vasiliev M.A., “Holography, Unfolding and Higher Spin Theory”, J. Phys. A-Math. Theor., 46:21 (2013), 214013  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    19. Vasiliev M.A., “Multiparticle Extension of the Higher Spin Algebra”, Class. Quantum Gravity, 30:10 (2013), 104006  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    20. Florakis I., Sorokin D., Tsulaia M., “Higher Spins in Hyperspace”, J. High Energy Phys., 2014, no. 7, 105  crossref  mathscinet  isi  scopus  scopus
    21. Misuna N.G., Vasiliev M.A., “Off-Shell Scalar Supermultiplet in the Unfolded Dynamic Approach”, J. High Energy Phys., 2014, no. 5, 140  crossref  mathscinet  isi  scopus  scopus
    22. Florakis I., Sorokin D., Tsulaia M., “Higher Spins in Hyper-Superspace”, Nucl. Phys. B, 890 (2015), 279–301  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    23. O. A. Gelfond, M. A. Vasiliev, “Symmetries of higher-spin current interactions in four dimensions”, Theoret. and Math. Phys., 187:3 (2016), 797–812  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    24. 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  crossref  mathscinet  isi  elib  scopus
    25. Gelfond O.A., Vasiliev M.A., “Higher-rank fields and currents”, J. High Energy Phys., 2016, no. 10, 067  crossref  mathscinet  isi  elib  scopus
    26. Skvortsov E. Sorokin D. Tsulaia M., “Correlation functions of Sp(2n) invariant higher-spin systems”, J. High Energy Phys., 2016, no. 7, 128  crossref  mathscinet  zmath  isi  elib  scopus
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    29. 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  mathscinet  zmath  isi
    30. 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  crossref  zmath  isi
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    32. 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  crossref  mathscinet  zmath  isi  scopus  scopus
    33. Sorokin D. Tsulaia M., “Higher Spin Fields in Hyperspace. a Review”, Universe, 4:1 (2018), 7  crossref  isi
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    35. Kuzenko S.M. Ponds M., “Conformal Geometry and (Super)Conformal Higher-Spin Gauge Theories”, J. High Energy Phys., 2019, no. 5, 113  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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