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TMF, 2014, Volume 181, Number 3, Pages 449–463 (Mi tmf8735)  

This article is cited in 5 scientific papers (total in 5 papers)

Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space

M. A. Vasiliev, P. A. Smirnov

Lebedev Physical Institute, RAS, Moscow, Russia

Abstract: We find the conserved currents of any spin $t>0$ constructed from massless gauge fields of any integer spin $s\ge t$ in four-dimensional Minkowski space. In particular, we construct the stress–energy tensor for a field of any higher spin. Analogously to the spin-two stress (pseudo)tensor, the currents we consider are not gauge invariant, but we show that they generate gauge-invariant charges. In addition to the expected even-parity higher-spin currents, we find unexpected odd-parity currents that generate fewer symmetries than the even currents. We argue that these odd currents most likely do not admit a consistent AdS deformation.

Keywords: higher-spin theory, conservation law

DOI: https://doi.org/10.4213/tmf8735

Full text: PDF file (403 kB)
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English version:
Theoretical and Mathematical Physics, 2014, 181:3, 1509–1521

Bibliographic databases:

Received: 19.06.2014

Citation: M. A. Vasiliev, P. A. Smirnov, “Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space”, TMF, 181:3 (2014), 449–463; Theoret. and Math. Phys., 181:3 (2014), 1509–1521

Citation in format AMSBIB
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\paper Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space
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  • http://mi.mathnet.ru/eng/tmf8735
  • https://doi.org/10.4213/tmf8735
  • http://mi.mathnet.ru/eng/tmf/v181/i3/p449

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

    This publication is cited in the following articles:
    1. 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
    2. O. A. Gelfond, M. A. Vasiliev, “Conserved higher-spin charges in $AdS_4$”, Phys. Lett. B, 754 (2016), 187–194  crossref  zmath  isi  elib  scopus
    3. P. Smirnov, M. Vasiliev, “Gauge non-invariant higher-spin currents in $AdS_4$”, Universe, 3:4 (2017), 78  crossref  isi
    4. O. A. Gelfond, M. A. Vasiliev, “Current interactions from the one-form sector of nonlinear higher-spin equations”, Nucl. Phys. B, 931 (2018), 383–417  crossref  mathscinet  zmath  isi  scopus
    5. I. L. Buchbinder, S. J. Jr, K. Koutrolikos, “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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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