Higher spin superfield interactions with complex linear supermultiplet: conserved supercurrents and cubic vertices

  • Konstantinos Koutrolikos
  • Pavel Kočí
  • Rikard von Unge
Open Access
Regular Article - Theoretical Physics


We continue the program of constructing cubic interactions between matter and higher spin supermultiplets. In this work we consider a complex linear superfield and we find that it can have cubic interactions only with supermultiplets with propagating spins j = s + 1, j = s + 1/2 for any non-negative integer s (half-integer superspin super-multiplets). We construct the higher spin supercurrent and supertrace, these compose the canonical supercurrent multiplet which generates the cubic interactions. We also prove that for every s there exist an alternative minimal supercurrent multiplet, with vanishing supertrace. Furthermore, we perform a duality transformation in order to make contact with the corresponding chiral theory. An interesting result is that the dual chiral theory has the same coupling constant with the complex linear theory only for odd values of s, whereas for even values of s the coupling constants for the two theories have opposite signs. Additionally we explore the component structure of the supercurrent multiplet and derive the higher spin currents. We find two bosonic currents for spins j = s and j = s + 1 and one fermionic current for spin j = s + 1/2.


Higher Spin Symmetry Superspaces Supersymmetry and Duality 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Konstantinos Koutrolikos
    • 1
  • Pavel Kočí
    • 1
  • Rikard von Unge
    • 1
  1. 1.Institute for Theoretical Physics and AstrophysicsMasaryk UniversityBrnoCzech Republic

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