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Analytic action principle in N=2 AdS4 harmonic superspace

Timothy Gargett* and Igor Samsonov†,‡

  • *Contact author: timothy.gargett@research.uwa.edu.au
  • †Contact author: igor.samsonov@unsw.edu.au
  • ‡Present address: School of Physics, University of New South Wales, Sydney 2052, Australia.
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Phys. Rev. D 112, 125031 – Published 29 December, 2025

DOI: https://doi.org/10.1103/jbh9-c8gg

Abstract

We develop an analytic action principle in N=2 AdS4 harmonic superspace and apply it to study the component structure of the free q-hypermultiplet model.

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References (34)

  1. A. Galperin, E. Ivanov, S. Kalitzin, V. Ogievetsky, and E. Sokatchev, Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspace, Classical Quantum Gravity 1, 469 (1984); 2, 127(E) (1985).
  2. A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, and E. S. Sokatchev, Harmonic Superspace (Cambridge University Press, Cambridge, England, 2001).
  3. F. Gonzalez-Rey, M. Rocek, S. Wiles, U. Lindstrom, and R. von Unge, Feynman rules in N=2 projective superspace: 1. Massless hypermultiplets, Nucl. Phys. B516, 426 (1998).
  4. F. Gonzalez-Rey and R. von Unge, Feynman rules in N=2 projective superspace. 2. Massive hypermultiplets, Nucl. Phys. B516, 449 (1998).
  5. S. M. Kuzenko, Projective superspace as a double punctured harmonic superspace, Int. J. Mod. Phys. A 14, 1737 (1999).
  6. S. M. Kuzenko and E. S. N. Raptakis, Extended superconformal higher-spin gauge theories in four dimensions, J. High Energy Phys. 12 (2021) 210.
  7. S. M. Kuzenko and E. S. N. Raptakis, On higher-spin N=2 supercurrent multiplets, J. High Energy Phys. 05 (2023) 056.
  8. D. Hutchings, S. M. Kuzenko, and E. S. N. Raptakis, The N=2 superconformal gravitino multiplet, Phys. Lett. B 845, 138132 (2023).
  9. S. M. Kuzenko and E. S. N. Raptakis, Towards N=2 superconformal higher-spin theory, J. High Energy Phys. 11 (2024) 013.
  10. I. Buchbinder, E. Ivanov, and N. Zaigraev, Unconstrained off-shell superfield formulation of 4D, N=2 supersymmetric higher spins, J. High Energy Phys. 12 (2021) 016.
  11. I. Buchbinder, E. Ivanov, and N. Zaigraev, Off-shell cubic hypermultiplet couplings to N=2 higher spin gauge superfields, J. High Energy Phys. 05 (2022) 104.
  12. I. Buchbinder, E. Ivanov, and N. Zaigraev, N=2 higher spins: Superfield equations of motion, the hypermultiplet supercurrents, and the component structure, J. High Energy Phys. 03 (2023) 036.
  13. I. Buchbinder, E. Ivanov, and N. Zaigraev, N=2 superconformal higher-spin multiplets and their hypermultiplet couplings, J. High Energy Phys. 08 (2024) 120.
  14. E. Ivanov and N. Zaigraev, N=2 superconformal gravitino in harmonic superspace, Phys. Lett. B 862, 139333 (2025).
  15. E. I. Buchbinder, S. M. Kuzenko, and I. B. Samsonov, Massless higher-spin supermultiplets in 5D harmonic superspace, arXiv:2509.06604.
  16. A. S. Galperin, N. A. Ky, and E. Sokatchev, N=2 Supergravity in superspace: Solution to the constraints, Classical Quantum Gravity 4, 1235 (1987).
  17. A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, and E. Sokatchev, N=2 supergravity in superspace: Different versions and matter couplings, Classical Quantum Gravity 4, 1255 (1987).
  18. B. Delamotte and J. Kaplan, The geometry of N=2 supergravity in harmonic superspace, Classical Quantum Gravity 4, 1223 (1987).
  19. B. M. Zupnik, Background harmonic superfields in N=2 supergravity, Theor. Math. Phys. 116, 964 (1998).
  20. D. Butter, On conformal supergravity and harmonic superspace, J. High Energy Phys. 03 (2016) 107.
  21. E. Ivanov and N. Zaigraev, Off-shell invariants of linearized 4D, N=2 supergravity in the harmonic approach, Phys. Rev. D 110, 066020 (2024).
  22. S. M. Kuzenko and G. Tartaglino-Mazzucchelli, Five-dimensional N=1 AdS superspace: Geometry, off-shell multiplets and dynamics, Nucl. Phys. B785, 34 (2007).
  23. S. M. Kuzenko and G. Tartaglino-Mazzucchelli, On 5D AdS SUSY and harmonic superspace, arXiv:0711.0063.
  24. E. Ivanov and N. Zaigraev, N=2 AdS hypermultiplets in harmonic superspace, Phys. Lett. B 871, 139964 (2025).
  25. S. M. Kuzenko and G. Tartaglino-Mazzucchelli, Field theory in 4D N=2 conformally flat superspace, J. High Energy Phys. 10 (2008) 001.
  26. S. M. Kuzenko, U. Lindstrom, M. Rocek, and G. Tartaglino-Mazzucchelli, 4D N=2 supergravity and projective superspace, J. High Energy Phys. 09 (2008) 051.
  27. S. M. Kuzenko and G. Tartaglino-Mazzucchelli, Different representations for the action principle in 4D N=2 supergravity, J. High Energy Phys. 04 (2009) 007.
  28. D. Butter and S. M. Kuzenko, N=2 AdS supergravity and supercurrents, J. High Energy Phys. 07 (2011) 081.
  29. D. Butter and S. M. Kuzenko, The structure of N=2 supersymmetric nonlinear sigma models in AdS4, J. High Energy Phys. 11 (2011) 080.
  30. D. Butter, S. M. Kuzenko, U. Lindstrom, and G. Tartaglino-Mazzucchelli, Extended supersymmetric sigma models in AdS4 from projective superspace, J. High Energy Phys. 05 (2012) 138.
  31. N. E. Koning, S. M. Kuzenko, and E. S. N. Raptakis, Embedding formalism for N-extended AdS superspace in four dimensions, J. High Energy Phys. 11 (2023) 063.
  32. N. E. Koning, S. M. Kuzenko, and E. S. N. Raptakis, The anti-de Sitter supergeometry revisited, J. High Energy Phys. 02 (2025) 175.
  33. A. Galperin, E. A. Ivanov, V. Ogievetsky, and E. Sokatchev, Harmonic supergraphs. Green functions, Classical Quantum Gravity 2, 601 (1985).
  34. S. M. Kuzenko, E. S. N. Raptakis, and G. Tartaglino-Mazzucchelli, Covariant superspace approaches to N=2 supergravity, in Handbook of Quantum Gravity, edited by C. Bambi, L. Modesto, and I. Shapiro (Springer, Singapore, 2024).

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Phys. Rev. D 112, 125031– Published 29 December, 2025
  • Received 20 October 2025
  • Accepted 10 December 2025
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