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TMF, 2008, Volume 154, Number 2, Pages 344–353 (Mi tmf6173)  

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

Higher-spin conformal currents in Minkowski space

M. A. Vasilieva, O. A. Gelfondb, E. D. Skvortsova

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

Abstract: Using the unfolded formulation of equations for massless free fields of all spins, we obtain an explicit form of the gauge-invariant higher-spin conformal conserved charges bilinear in four-dimensional massless fields of arbitrary spins.

Keywords: higher-spin gauge theory, conformal current

DOI: https://doi.org/10.4213/tmf6173

Full text: PDF file (397 kB)
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English version:
Theoretical and Mathematical Physics, 2008, 154:2, 294–302

Bibliographic databases:

Received: 19.03.2007

Citation: M. A. Vasiliev, O. A. Gelfond, E. D. Skvortsov, “Higher-spin conformal currents in Minkowski space”, TMF, 154:2 (2008), 344–353; Theoret. and Math. Phys., 154:2 (2008), 294–302

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Metsaev R.R., “Shadows, currents, and AdS fields”, Phys. Rev. D, 78:10 (2008), 106010, 31 pp.  crossref  mathscinet  adsnasa  isi  elib  scopus
    2. Gelfond O.A., Vasiliev M.A., “Higher spin fields in Siegel space, currents and theta functions”, J. High Energy Phys., 2009, no. 3, 125, 37 pp.  crossref  mathscinet  isi  elib  scopus
    3. Fotopoulos A., Tsulaia M., “Current exchanges for reducible higher spin multiplets and gauge fixing”, J. High Energy Phys., 2009, no. 10, 050, 27 pp.  crossref  mathscinet  isi  elib  scopus
    4. Bekaert X., Joung E., Mourad J., “On higher spin interactions with matter”, J. High Energy Phys., 2009, no. 5, 126, 32 pp.  crossref  mathscinet  isi  scopus
    5. Xavier Bekaert, Maxim Grigoriev, “Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons”, SIGMA, 6 (2010), 038, 18 pp.  mathnet  crossref  mathscinet
    6. Bekaert X., Meunier E., “Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions”, J. High Energy Phys., 2010, no. 11, 116  crossref  mathscinet  zmath  isi  elib  scopus
    7. Metsaev R.R., “Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields”, Phys. Rev. D, 81:10 (2010), 106002, 29 pp.  crossref  mathscinet  adsnasa  isi  scopus
    8. Bekaert X., Joung E., Mourad J., “Effective action in a higher-spin background”, J. High Energy Phys., 2011, no. 2, 048  crossref  mathscinet  zmath  isi  elib  scopus
    9. Metsaev R.R., “Gauge invariant approach to low-spin anomalous conformal currents and shadow fields”, Phys Rev D, 83:10 (2011), 106004  crossref  adsnasa  isi  elib  scopus
    10. Dmitry S. Kaparulin, Simon L. Lyakhovich, Alexey A. Sharapov, “Lagrange anchor and characteristic symmetries of free massless fields”, SIGMA, 8 (2012), 021, 18 pp.  mathnet  crossref  mathscinet
    11. Metsaev R.R., “Anomalous Conformal Currents, Shadow Fields, and Massive AdS Fields”, Phys. Rev. D, 85:12 (2012), 126011  crossref  adsnasa  isi  elib  scopus
    12. Didenko V.E., Skvortsov E.D., “Exact Higher-Spin Symmetry in CFT: All Correlators in Unbroken Vasiliev Theory”, J. High Energy Phys., 2013, no. 4, 158  crossref  mathscinet  zmath  isi  scopus
    13. M. A. Vasiliev, P. A. Smirnov, “Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space”, Theoret. and Math. Phys., 181:3 (2014), 1509–1521  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    14. Beccaria M., Tseytlin A.A., “Higher Spins in AdS(5) At One Loop: Vacuum Energy, Boundary Conformal Anomalies and AdS/CFT”, J. High Energy Phys., 2014, no. 11, 114  crossref  mathscinet  isi  scopus
    15. Skvortsov E., Taronna M., “on Locality, Holography and Unfolding”, J. High Energy Phys., 2015, no. 11, 044  crossref  mathscinet  isi  scopus
    16. Metsaev R.R., “Light-Cone AdS/CFT-Adapted Approach To AdS Fields/Currents, Shadows, and Conformal Fields”, J. High Energy Phys., 2015, no. 10, 110  crossref  mathscinet  zmath  isi  elib  scopus
    17. Boulanger N., Kessel P., Skvortsov E., Taronna M., “Higher Spin Interactions in Four-Dimensions: Vasiliev Versus Fronsdal”, J. Phys. A-Math. Theor., 49:9 (2016), 095402  crossref  mathscinet  zmath  adsnasa  isi  scopus
    18. 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
    19. 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
    20. Gunaydin M., Skvortsov E., Tran T., “Exceptional F (4) higher-spin theory in AdS6 at one-loop and other tests of duality”, J. High Energy Phys., 2016, no. 11, 168  crossref  mathscinet  zmath  isi  scopus
    21. 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
    22. Gelfond O.A., Vasiliev M.A., “Conserved higher-spin charges in AdS 4”, Phys. Lett. B, 754 (2016), 187–194  crossref  zmath  isi  elib  scopus
    23. Taronna M., “A note on field redefinitions and higher-spin equations”, J. Phys. A-Math. Theor., 50:7 (2017), 075401  crossref  mathscinet  zmath  isi  scopus
    24. Smirnov P., Vasiliev M., “Gauge Non-Invariant Higher-Spin Currents in AdS(4)”, Universe, 3:4 (2017), 78  crossref  isi
    25. Taronna M., “Pseudo-Local Theories: a Functional Class Proposal”, Higher Spin Gauge Theories, eds. Brink L., Henneaux M., Vasiliev M., World Scientific Publ Co Pte Ltd, 2017, 59–84  crossref  zmath  isi
    26. 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
    27. 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  crossref  mathscinet  isi  scopus
    28. 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
    29. Sezgin E. Skvortsov E.D. Zhu Ya., “Chern–Simons Matter Theories and Higher Spin Gravity”, J. High Energy Phys., 2017, no. 7, 133  crossref  mathscinet  zmath  isi  scopus
    30. Koutrolikos K., Koci P., von Unge R., “Higher Spin Superfield Interactions With Complex Linear Supermultiplet: Conserved Supercurrents and Cubic Vertices”, J. High Energy Phys., 2018, no. 3, 119  crossref  mathscinet  zmath  isi  scopus
    31. Buchbinder I.L., Gates Jr. S. James, Koutrolikos K., “Interaction of Supersymmetric Nonlinear SIGMA Models With External Higher Spin Superfields Via Higher Spin Supercurrents”, J. High Energy Phys., 2018, no. 5, 204  crossref  isi  scopus
    32. Sorokin D. Tsulaia M., “Higher Spin Fields in Hyperspace. a Review”, Universe, 4:1 (2018), 7  crossref  isi
    33. Buchbinder I.L., Jr S.J., Koutrolikos K., “Conserved Higher Spin Supercurrents For Arbitrary Spin Massless Supermultiplets and Higher Spin Superfield Cubic Interactions”, J. High Energy Phys., 2018, no. 8, 055  crossref  isi  scopus
    34. Buchbinder E.I. Hutomo J. Kuzenko S.M., “Higher Spin Supercurrents in Anti-de Sitter Space”, J. High Energy Phys., 2018, no. 9, 027  crossref  isi  scopus
    35. Buchbinder I.L., Gates Jr. S. James, Koutrolikos K., “Integer Superspin Supercurrents of Matter Supermultiplets”, J. High Energy Phys., 2019, no. 5, 031  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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