Neumann-Rosochatius system for strings in ABJ model

DOI10.1007/JHEP12(2019)024zbMATH Open1431.83165arXiv1909.12632OpenAlexW3104518249WikidataQ126637234 ScholiaQ126637234MaRDI QIDQ2303135

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Publication date: 2 March 2020

Published in: (Search for Journal in Brave)

Abstract: Neumann-Rosochatius system is a well known one dimensional integrable system. We study the rotating and pulsating string in $Ad{S}_{4}imesmathbb{CP}^3$ with a $B_{mNS}$ holonomy turned on over $mathbb{CP}^{1}subsetmathbb{CP}^3$, 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 $R_{t}imesmathbb{CP}^3$ with two angular momenta. For the pulsating string we derive the energy as function of oscillation number and angular momenta along $mathbb{CP}^3$.

Full work available at URL: https://arxiv.org/abs/1909.12632

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