2025/11/20 by Evgeny Ivanov, Nikita Zaigraev, Ivanov, Evgeny +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2511.16325
openalex publication_date 2025/11/20 · openalex created_date 2025/11/23 · openalex updated_date 2026/07/28
Using the harmonic superspace approach, we construct the superconformal harmonic action for N=2 Weyl supermultiplet. The fundamental objects of the theory are unconstrained analytic potentials h++αα, h++α+, h++α+, h(+4), which distinguishes our construction among the previously known ones. An important role is played by the ``half-analyticity'' conditions introduced in arXiv:2407.08524 [hep-th]. The structure of the harmonic linearized N=2 Weyl action to large extent repeats the structure of the N=2 Maxwell action, which suggests a conjecture on the possible structure of the complete nonlinear N=2 Weyl theory action in the harmonic superspace. We provide a detailed study of the rigid superconformal properties of the proposed action and prove its invariance in both harmonic and chiral superspaces. First steps are also undertaken towards constructing the nonlinear N=2 Weyl action, based on an analogy with N=2 Maxwell action just mentioned and a generalization of the concept of half-analyticity to curved harmonic superspace.