Holography and Regge phases with U(1) charge
Abstract We use holography to study the large spin J limit of the spectrum of low energy states with charge Q under a U(1) conserved current in CFTs in d > 2 dimensions, with a focus on d = 3 and d = 4. For Q = 2, the spectrum of such states is known to be universal and properly captured by the l...
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)202 |
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| author | Giulia Fardelli A. Liam Fitzpatrick Wei Li |
| author_facet | Giulia Fardelli A. Liam Fitzpatrick Wei Li |
| author_sort | Giulia Fardelli |
| collection | DOAJ |
| description | Abstract We use holography to study the large spin J limit of the spectrum of low energy states with charge Q under a U(1) conserved current in CFTs in d > 2 dimensions, with a focus on d = 3 and d = 4. For Q = 2, the spectrum of such states is known to be universal and properly captured by the long-distance limit of holographic theories, regardless of whether the CFT itself is holographic. We study in detail the holographic description of such states at Q > 2, by considering the contribution to the energies of Q scalar particles coming from single photon and graviton exchange in the bulk of AdS; in some cases, scalar exchange and bulk contact terms are also included. For a range of finite values of Q and J, we numerically diagonalize the Hamiltonian for such states and examine the resulting spectrum and wavefunctions as a function of the dimension ∆ of the charge-one operator and the central charges c T $$ {c}_{\mathcal{T}} $$ , c J $$ {c}_{\mathcal{J}} $$ of the stress tensor and U(1) current, finding multiple regions in parameter space with qualitatively different behavior. We discuss the extension of these results to the regime of parametrically large charge Q, as well as to what extent such results are expected to hold universally, beyond the limit of holographic CFTs. We compare our holographic computations to results from the conformal bootstrap for the 3d O(2) model at Q = 3 and Q = 4 and find excellent agreement. |
| format | Article |
| id | doaj-art-d2f91deff74c48f5a7dcbe18ffcb4298 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d2f91deff74c48f5a7dcbe18ffcb42982025-08-20T02:22:32ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024817110.1007/JHEP08(2024)202Holography and Regge phases with U(1) chargeGiulia Fardelli0A. Liam Fitzpatrick1Wei Li2Department of Physics, Boston UniversityDepartment of Physics, Boston UniversityDepartment of Physics, Boston UniversityAbstract We use holography to study the large spin J limit of the spectrum of low energy states with charge Q under a U(1) conserved current in CFTs in d > 2 dimensions, with a focus on d = 3 and d = 4. For Q = 2, the spectrum of such states is known to be universal and properly captured by the long-distance limit of holographic theories, regardless of whether the CFT itself is holographic. We study in detail the holographic description of such states at Q > 2, by considering the contribution to the energies of Q scalar particles coming from single photon and graviton exchange in the bulk of AdS; in some cases, scalar exchange and bulk contact terms are also included. For a range of finite values of Q and J, we numerically diagonalize the Hamiltonian for such states and examine the resulting spectrum and wavefunctions as a function of the dimension ∆ of the charge-one operator and the central charges c T $$ {c}_{\mathcal{T}} $$ , c J $$ {c}_{\mathcal{J}} $$ of the stress tensor and U(1) current, finding multiple regions in parameter space with qualitatively different behavior. We discuss the extension of these results to the regime of parametrically large charge Q, as well as to what extent such results are expected to hold universally, beyond the limit of holographic CFTs. We compare our holographic computations to results from the conformal bootstrap for the 3d O(2) model at Q = 3 and Q = 4 and find excellent agreement.https://doi.org/10.1007/JHEP08(2024)202AdS-CFT CorrespondenceScale and Conformal SymmetriesGlobal SymmetriesEffective Field Theories |
| spellingShingle | Giulia Fardelli A. Liam Fitzpatrick Wei Li Holography and Regge phases with U(1) charge Journal of High Energy Physics AdS-CFT Correspondence Scale and Conformal Symmetries Global Symmetries Effective Field Theories |
| title | Holography and Regge phases with U(1) charge |
| title_full | Holography and Regge phases with U(1) charge |
| title_fullStr | Holography and Regge phases with U(1) charge |
| title_full_unstemmed | Holography and Regge phases with U(1) charge |
| title_short | Holography and Regge phases with U(1) charge |
| title_sort | holography and regge phases with u 1 charge |
| topic | AdS-CFT Correspondence Scale and Conformal Symmetries Global Symmetries Effective Field Theories |
| url | https://doi.org/10.1007/JHEP08(2024)202 |
| work_keys_str_mv | AT giuliafardelli holographyandreggephaseswithu1charge AT aliamfitzpatrick holographyandreggephaseswithu1charge AT weili holographyandreggephaseswithu1charge |