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...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2022-12, Vol.2022 (12), p.1-23
Main Authors: Adrita Chakraborty, Rashmi R. Nayak, Priyadarshini Pandit, Kamal L. Panigrahi
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Integrable Field Theories
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
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
DOI:10.1007/JHEP12(2022)059