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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2508.20160 |
| Etiquetas: |
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- We show how to construct a holographic effective theory for the leading-twist operators in the $O(2)$ model in the $4-d=ε$ expansion up to $O(ε^2)$, based on the separation of short-distance and long-distance effects that arises as a function of spin $J$. We obtain the Hamiltonian of the theory and show that it correctly reproduces all the dimensions at $O(ε^2)$ of the leading twist operators for all values of the charge $Q$ and spin $J$. The holographic Hamiltonian is given by the bulk exchange of a charged scalar $ϕ$, neutral scalar $s \sim ϕϕ^*$, and a `ghost' field $c$, as well as a single local bulk interaction $(ϕϕ^*)^2$. We analyze various aspects of the spectrum and discuss their interpretation in light of the bulk description.