دورية أكاديمية
Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux
| العنوان: | Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux |
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| المؤلفون: | Adrita Chakraborty, Kamal L. Panigrahi |
| المصدر: | European Physical Journal C: Particles and Fields, Vol 81, Iss 4, Pp 1-14 (2021) |
| بيانات النشر: | SpringerOpen, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Astrophysics LCC:Nuclear and particle physics. Atomic energy. Radioactivity |
| مصطلحات موضوعية: | Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| الوصف: | Abstract $$SL(2,{\mathbb {Z}})$$ S L ( 2 , Z ) invariant action for probe (m, n) string in $$AdS_3\times S^3\times T^4$$ A d S 3 × S 3 × T 4 with mixed three-form fluxes can be described by an integrable deformation of an one-dimensional Neumann–Rosochatius (NR) system. We present the deformed features of the integrable model and study general class of rotating and pulsating solutions by solving the integrable equations of motion. For the rotating string, the explicit solutions can be expressed in terms of elliptic functions. We make use of the integrals of motion to find out the scaling relation among conserved charges for the particular case of constant radii solutions. Then we study the closed (m, n) string pulsating in $$R_t\times S^3$$ R t × S 3 . We find the string profile and calculate the total energy of such pulsating string in terms of oscillation number $$({\mathcal {N}})$$ ( N ) and angular momentum $$({\mathcal {J}})$$ ( J ) . |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1434-6044 1434-6052 09029354 |
| Relation: | https://doaj.org/toc/1434-6044; https://doaj.org/toc/1434-6052 |
| DOI: | 10.1140/epjc/s10052-021-09067-y |
| URL الوصول: | https://doaj.org/article/6860c09029354b2284cb8af9addf4bb1 |
| رقم الأكسشن: | edsdoj.6860c09029354b2284cb8af9addf4bb1 |
| قاعدة البيانات: | Directory of Open Access Journals |
Find this article in full text from Springer Verlag. 
Full Text Finder | تدمد: | 14346044 14346052 09029354 |
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| DOI: | 10.1140/epjc/s10052-021-09067-y |