Linearized $\mathcal{N}=2$ conformal supergravity in the harmonic approach
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908667035516928 |
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| author | Ivanov, Evgeny Zaigraev, Nikita |
| author_facet | Ivanov, Evgeny Zaigraev, Nikita |
| contents | Using the harmonic superspace approach we construct the superconformal harmonic action for $\mathcal{N}=2$ Weyl supermultiplet. The fundamental objects of the theory are unconstrained analytic potentials $h^{++α\dotα}, h^{++α+}, h^{++\dotα+}, h^{(+4)}$, 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 $\mathcal{N}=2$ Weyl action to large extent repeats the structure of the $\mathcal{N}=2$ Maxwell action, which suggests a conjecture on the possible structure of the complete nonlinear $\mathcal{N}=2$ Weyl theory action in the harmonic superspace. We also provide a detailed study of the rigid superconformal properties of the proposed action and prove its invariance in both harmonic and chiral superspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16325 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linearized $\mathcal{N}=2$ conformal supergravity in the harmonic approach Ivanov, Evgeny Zaigraev, Nikita High Energy Physics - Theory General Relativity and Quantum Cosmology Using the harmonic superspace approach we construct the superconformal harmonic action for $\mathcal{N}=2$ Weyl supermultiplet. The fundamental objects of the theory are unconstrained analytic potentials $h^{++α\dotα}, h^{++α+}, h^{++\dotα+}, h^{(+4)}$, 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 $\mathcal{N}=2$ Weyl action to large extent repeats the structure of the $\mathcal{N}=2$ Maxwell action, which suggests a conjecture on the possible structure of the complete nonlinear $\mathcal{N}=2$ Weyl theory action in the harmonic superspace. We also provide a detailed study of the rigid superconformal properties of the proposed action and prove its invariance in both harmonic and chiral superspaces. |
| title | Linearized $\mathcal{N}=2$ conformal supergravity in the harmonic approach |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.16325 |