Open giant magnons on LLM geometries
| Autor: | Adolfo Holguin, David Berenstein |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Angular momentum Sigma model FOS: Physical sciences AdS-CFT Correspondence 01 natural sciences String (physics) Bethe ansatz High Energy Physics::Theory 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Mathematical physics Physics 010308 nuclear & particles physics Plane (geometry) Computer Science::Information Retrieval Analytic continuation Graviton Bethe Ansatz AdS/CFT correspondence High Energy Physics - Theory (hep-th) D-branes lcsh:QC770-798 Sigma Models |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-22 (2021) Journal of High Energy Physics |
| Popis: | We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for $\Delta-J$ that is consistent with saturation of a BPS bound of the centrally extended spin chain. For the special case of circularly symmetric LLM geometries, we can further evaluate the amount of angular momentum $J$ carried by these strings. This quantity diverges for string configurations that try to move between different "coloring regions" in the LLM plane. All of these quantities have a perturbative expansion in the t'Hooft coupling. For the strings suspended between AdS giants, we can compute in field theory the leading result of $J$ carried by the string via an analytic continuation of the $SU(2)$ result, with the help of the Bethe Ansatz for the $SL(2)$ sector. We thus provide additional information on how the radial direction of $AdS$ arises from (open) spin chain calculations. Comment: 30 pages |
| Databáze: | OpenAIRE |
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