Novel 𝒩=2 higher-spin supercurrents
Abstract
We study cubic interactions of 𝒩=2 massless integer-spin gauge supermultiplets in harmonic superspace. We construct the complete class of abelian (s,s1,s2) cubic vertices with the minimal number of space-time derivatives. Such vertices exist only for s≥ s1+s2 and universally take the form of the gauge prepotential coupled to the conserved higher-spin supercurrent. For~s1≠s2, we find the novel complex principal supercurrent, whose real and imaginary parts generate the parity-invariant and the parity-breaking interactions, respectively. The supercurrents are constructed from gauge-invariant 𝒩=2 higher-spin Weyl supertensors associated with the spin-s1 and spin-s2 gauge multiplets. These supertensors are defined in terms of unconstrained higher-spin analytic prepotentials. We also derive the complete set of conserved component higher-spin currents associated with the (s,s1,s2) vertices, including both traceless currents and currents with the non-vanishing trace.
Versions
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BibTeX
@misc{zaigraev2026novel,
title = {{Novel $\mathcalN=2$ higher-spin supercurrents}},
author = {Nikita Zaigraev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.05370},
eprint = {2606.05370},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.05370},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Novel 𝒩=2 higher-spin supercurrents
AU - Nikita Zaigraev
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2606.05370
UR - https://arxiv.org/abs/2606.05370
AB - We study cubic interactions of 𝒩=2 massless integer-spin gauge supermultiplets in harmonic superspace. We construct the complete class of abelian (s,s_1,s_2) cubic vertices with the minimal number of space-time derivatives. Such vertices exist only for s≥ s_1+s_2 and universally take the form of the gauge prepotential coupled to the conserved higher-spin supercurrent. For~s_1≠s_2, we find the novel complex principal supercurrent, whose real and imaginary parts generate the parity-invariant and the parity-breaking interactions, respectively. The supercurrents are constructed from gauge-invariant 𝒩=2 higher-spin Weyl supertensors associated with the spin-s_1 and spin-s_2 gauge multiplets. These supertensors are defined in terms of unconstrained higher-spin analytic prepotentials. We also derive the complete set of conserved component higher-spin currents associated with the (s,s_1,s_2) vertices, including both traceless currents and currents with the non-vanishing trace.
ER -