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Unconstrained \(\mathcal{N} = 2\) Higher-Spin Gauge Superfields and Their Hypermultiplet Couplings

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

In recent papers [1, 2], we constructed free off-shell \(\mathcal{N} = 2\) supersymmetric higher spin gauge theories in harmonic superspace and their cubic couplings to hypermultiplet. The present report is a brief review of the results obtained.

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REFERENCES

  1. E. Buchbinder, Ivanov and N. Zaigraev, “Unconstrained off-shell superfield formulation of 4D, \(\mathcal{N}\) = 2 supersymmetric higher spins,” J. High Energy Phys. 12, 016 (2021). arXiv:2109.07639 hep-th.

  2. E. Buchbinder, Ivanov and N. Zaigraev, “Off-shell cubic hypermultiplet couplings to N = 2 higher spin gauge superfields,” J. High Energy Phys. 05, 104 (2022). arXiv: 2202.08196 hep-th.

  3. C. Fronsdal, “Massless fields with integer spin,” Phys. Rev. D 18, 3624 (1978).

    Article  ADS  Google Scholar 

  4. J. Fang and C. Fronsdal, “Massless fields with half integral spin,” Phys. Rev. D 18, 3630 (1978).

    Article  ADS  Google Scholar 

  5. T. Courtright, “Massless field supermultiplets with arbitrary spins,” Phys. Lett. B 85, 2019 (1979).

    Google Scholar 

  6. M. A. Vasiliev, “Gauge form of description of massless fields with arbitrary spin,” Sov. J. Nucl. Phys. 32, 439 (1980).

    MathSciNet  Google Scholar 

  7. S. Kuzenko, A. Sibiryakov, and V. Postnikov, “Massless gauge superfields of higher half integer superspins,” JETP Lett. 57, 534 (1993).

    ADS  Google Scholar 

  8. S. Kuzenko and A. Sibiryakov, “Massless gauge superfields of higher integer superspins,” JETP Lett. 57, 539 (1993).

    ADS  Google Scholar 

  9. S. Kuzenko and A. Sibiryakov, “Free massless higher spuperspin superfields in the anti-de Sitter superspace,” Phys. Atom. Nucl. 57, 1257 (1994). arXiv: 1112.4612 hep-th.

  10. A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, and E. S. Sokatchev, Harmonic Superspace in Cambridge Monographs on Mathematical Physics (Cambridge Univ. Press, 2001).

    Book  Google Scholar 

  11. A. Galperin, E. Ivanov, V. Ogievetsky, and E. Sokatchev, “Harmonic superspace: key to supersymmetric theories,” JETP Lett. 40, 912 (1984);

    ADS  Google Scholar 

  12. A. S. Galperin, E. A. Ivanov, S. Kalitzin, V. I. Ogievetsky, and E. S. Sokatchev, “Unconstrained matter, Yang–Mills and supergravity theories in harmonic superspace,” Class. Quant. Grav. 1, 469–498 (1984);

    Article  ADS  MathSciNet  Google Scholar 

  13. Erratum: Class. Quant. Grav. 2, 127 (1985).

  14. B. M. Zupnik, “Background harmonic superfields in \(\mathcal{N} = 2\) supergravity,” Theor. Math. Phys. 116, 964-977 (1998). arXiv:hep-th/9803202.

    Article  MathSciNet  MATH  Google Scholar 

  15. X. Bekaert, S. Cnockaert, C. Iazeolla, and M. A. Vasiliev, “Nonlinear higher spin theories in various dimensions,” arXiv:hep-th/0503128 [hep-th].

  16. V. E. Didenko and E. D. Skvortsov, “Elements of Vasiliev theory,” arXiv:1401.2975 [hep-th].

  17. A. K. H. Bengtsson, I. Bengtsson, and L. Brink, “Cubic interaction terms for arbitrary spin,” Nucl. Phys. B 227, 31–40 (1983).

    Article  ADS  Google Scholar 

  18. R. R. Metsaev, “Cubic interaction vertices for fermionic and bosonic arbitrary spin fields,” Nucl. Phys. B 13,69859 (2012). arXiv:0712.3526 hep-th.

  19. R. Manvelyan, K. Mkrtchyan, and W. Ruhl, “Off-shell construction of some trilinear higher spin gauge field interactions,” Nucl. Phys. B 826, 1–17 (2010). arXiv: 0903.0243 hep-th.

  20. R. Manvelyan, K. Mkrtchyan, and W. Ruehl, “Direct construction of a cubic selfinteraction for higher spin gauge fields,” Nucl. Phys. B 844, 348–364 (2011). arXiv: 1002.1358 hep-th.

  21. I. L. Buchbinder, S. J. Gates, and K. Koutrolikos, “Higher spin superfield interactions with the chiral supermultiplet: conserved supercurrents and cubic vertices,” Universe 4, 6 (2018). arXiv:1708.06262 [hep-th].

  22. I. L. Buchbinder, S. J. Gates, and K. Koutrolikos, “Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions,” J. High Energy Phys. 08, 055 (2018). arXiv:1805.04413 [hep-th].

  23. A. S. Galperin, N. A. Ky, and E. Sokatchev, “\(\mathcal{N} = 2\) supergravity in superspace: solution to the constraints,” Class. Quant. Grav. 4, 1235 (1987).

    Article  ADS  Google Scholar 

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Funding

Work of I.B. was supported in part by the Ministry of Education of the Russian Federation, project QZOY-2023-0003. Work of N.Z. was partially supported by by the grant 22-1-1-42-2 from the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.

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Correspondence to I. Buchbinder, E. Ivanov or N. Zaigraev.

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Buchbinder, I., Ivanov, E. & Zaigraev, N. Unconstrained \(\mathcal{N} = 2\) Higher-Spin Gauge Superfields and Their Hypermultiplet Couplings. Phys. Part. Nuclei Lett. 20, 300–305 (2023). https://doi.org/10.1134/S1547477123030172

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  • DOI: https://doi.org/10.1134/S1547477123030172

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