Year: 2026
Type: article
Abstract: A bstract Using the harmonic superspace approach, we construct the superconformal harmonic action for $$ \mathcal{N} $$ N = 2 Weyl supermultiplet. The fundamental objects of the theory are unconstrained analytic potentials $$ {h}^{++\alpha \dot{\alpha}} $$ h + + α α ̇ , h ++ α + , $$ {h}^{++\dot{\alpha}+} $$ 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. The structure of the harmonic linearized $$ \mathcal{N} $$ N = 2 Weyl action to large extent repeats the structure of the $$ \mathcal{N} $$ N = 2 Maxwell action, which suggests a conjecture on the possible structure of the complete nonlinear $$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ N = 2 Weyl action, based on an analogy with $$ \mathcal{N} $$ N = 2 Maxwell action just mentioned and a generalization of the concept of half-analyticity to curved harmonic superspace.
Source: Journal of High Energy Physics
Authors: Evgeny Ivanov, Nikita Zaigraev
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G2761474942
OpenAlex ID: W4416550463
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