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TMF, 2016, Volume 187, Number 3, Pages 401–420 (Mi tmf9064)  

This article is cited in 8 scientific papers (total in 8 papers)

Symmetries of higher-spin current interactions in four dimensions

O. A. Gelfondab, M. A. Vasilievb

a Institute of System Research of Russian Academy of Sciences, Moscow, Russia
b Tamm Department of Theoretical Physics, Lebedev Physical Institute, RAS, Moscow, Russia

Abstract: We show that the current interaction of massless fields in four dimensions breaks the $\mathfrak{sp}(8)$ symmetry of free massless equations of arbitrary spin down to the conformal symmetry $\mathfrak{su}(2,2)$. This breaking agrees with the form of the nonlinear higher-spin field equations.

Keywords: higher symmetry, conformal symmetry, conserved current

Funding Agency Grant Number
Russian Foundation for Basic Research 14-02-01172
This research was supported in part by the Russian Foundation for Basic Research (Grant No. 14-02-01172).


DOI: https://doi.org/10.4213/tmf9064

Full text: PDF file (554 kB)
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English version:
Theoretical and Mathematical Physics, 2016, 187:3, 797–812

Bibliographic databases:

Received: 08.10.2015
Revised: 24.12.2015

Citation: O. A. Gelfond, M. A. Vasiliev, “Symmetries of higher-spin current interactions in four dimensions”, TMF, 187:3 (2016), 401–420; Theoret. and Math. Phys., 187:3 (2016), 797–812

Citation in format AMSBIB
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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. M. Henneaux, S. Hörtner, A. Leonard, “Twisted self-duality for higher spin gauge fields and prepotentials”, Phys. Rev. D, 94:10 (2016), 105027, 14 pp.  crossref  mathscinet  isi  scopus
    2. E. Skvortsov, D. Sorokin, M. Tsulaia, “Correlation functions of $\mathrm{Sp}(2n)$ invariant higher-spin systems”, J. High Energy Phys., 2016, no. 7, 128, front matter+23 pp.  crossref  mathscinet  zmath  isi  elib  scopus
    3. M. A. Vasiliev, “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
    4. M. A. Vasiliev, “On the local frame in nonlinear higher-spine quations”, J. High Energy Phys., 2018, no. 1, 062, front matter + 25 pp.  crossref  mathscinet  isi  scopus
    5. N. G. Misuna, “On current contribution to Fronsdal equations”, Phys. Lett. B, 778 (2018), 71–78  crossref  zmath  isi  scopus
    6. O. A. Gelfon, 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
    7. D. Sorokin, M. Tsulaia, “Higher spin fields in hyperspace: a review”, Universe, 4:1 (2018), 7  crossref  isi
    8. M. Henneaux, V. Lekeu, A. Leonard, J. Matulich, S. Prohazka, “Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields”, J. High Energy Phys., 2018, no. 11, 156  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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