Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux
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 featu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09067-y |
| _version_ | 1818600281396477952 |
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| author | Adrita Chakraborty Kamal L. Panigrahi |
| author_facet | Adrita Chakraborty Kamal L. Panigrahi |
| author_sort | Adrita Chakraborty |
| collection | DOAJ |
| description | 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 ) . |
| first_indexed | 2024-12-16T12:33:00Z |
| format | Article |
| id | doaj.art-6860c09029354b2284cb8af9addf4bb1 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-16T12:33:00Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6860c09029354b2284cb8af9addf4bb12022-12-21T22:31:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-04-0181411410.1140/epjc/s10052-021-09067-yNeumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed fluxAdrita Chakraborty0Kamal L. Panigrahi1Centre For Theoretical Studies, Indian Institute of Technology KharagpurDepartment of Physics, Indian Institute of Technology KharagpurAbstract $$SL(2,{\mathbb {Z}})$$ 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 ) .https://doi.org/10.1140/epjc/s10052-021-09067-y |
| spellingShingle | Adrita Chakraborty Kamal L. Panigrahi Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux European Physical Journal C: Particles and Fields |
| title | Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux |
| title_full | Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux |
| title_fullStr | Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux |
| title_full_unstemmed | Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux |
| title_short | Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux |
| title_sort | neumann rosochatius system for m n string in ads 3 times s 3 a d s 3 s 3 with mixed flux |
| url | https://doi.org/10.1140/epjc/s10052-021-09067-y |
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