Neumann-Rosochatius system for rotating strings in AdS 3 × S 3 × S 3 × S 1 with flux

Abstract We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS 3 × S 3 × S 3 × S 1 supported by pure NSNS flux. We observe that the forms of the Lagrangian and the Uhlenbeck integrals of motion of the considered system are NR-like with some suitable deformations, which...

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Bibliographic Details
Main Authors: Adrita Chakraborty, Rashmi R. Nayak, Priyadarshini Pandit, Kamal L. Panigrahi
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2022)059
Description
Summary:Abstract We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS 3 × S 3 × S 3 × S 1 supported by pure NSNS flux. We observe that the forms of the Lagrangian and the Uhlenbeck integrals of motion of the considered system are NR-like with some suitable deformations, which eventually appear due to the presence of flux. We utilize the integrable framework of the deformed NR model to analyze rigidly rotating spiky strings moving only in S 3 × S 1. We further present a quantitative study on the rounding-off nature of the spike in the presence of non-zero angular momentum J in S 1.
ISSN:1029-8479