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Neumann-Rosochatius system for strings on I-brane

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arxiv 2209.09933 v2 pith:T5A4SY5V submitted 2022-09-20 hep-th

Adrita Chakraborty , Nibedita Padhi , Priyadarshini Pandit , Kamal L. Panigrahi This is my paper · ORCID
classification hep-th
keywords stringmodelrotatingdimensionalneumann-rosochatiusoscillatingstringssystem
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abstract

We study rigidly rotating and pulsating strings in the background of a 1+1 dimensional intersection of two orthogonal stacks of fivebranes in type IIB string theory by using the Neumann-Rosochatius (NR) model. Starting with the Polyakov action of the probe fundamental string we show that a generalised ansatz reduce the system into the one dimensional NR model in the presence of flux. The integrable construction of the model is exploited to analyze the rotating and oscillating string solution. We render the large $J$ BMN-type expansion for the energy of rotating string states while the same for the oscillating string has been derived in long string and small angular momenta limit.

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  1. Non-relativistic Strings: Classical solutions and exactly solvable models

    hep-th 2025-04 reject novelty 4.0 of 10

    Non-relativistic strings on R x S2 admit spinning and pulsating solutions whose leading and next-to-leading order dynamics are cast as Neumann-Rosochatius-like solvable models with Bohr-Sommerfeld energy spectra.

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