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arXiv · 1909.12632

Neumann-Rosochatius system for strings in ABJ Model

Adrita Chakraborty·Kamal L. Panigrahi
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Abstract

Neumann-Rosochatius system is a well known one dimensional integrable system. We study the rotating and pulsating string in $AdS_4 \times \mathbb{CP}^3$ with a $B_{\rm{NS}}$ holonomy turned on over $\mathbb{CP}^1 \subset \mathbb{CP}^3$, or the so called Aharony-Bergman-Jafferis (ABJ) background. We observe that the string equations of motion in both cases are integrable and the Lagrangians reduce to a form similar to that of deformed Neuman-Rosochatius system. We find out the scaling relations among various conserved charges and comment on the finite size effect for the dyonic giant magnons on $R_{t}\times \mathbb{CP}^{3}$ with two angular momenta. For the pulsating string we derive the energy as function of oscillation number and angular momenta along $\mathbb{CP}^{3}$.

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Adrita Chakraborty, Kamal L. Panigrahi. 2019-11-19. Neumann-Rosochatius system for strings in ABJ Model. https://doi.org/10.1007/jhep12(2019)024

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