Perturbation of pulsating strings

Abstract We discuss semiclassical quantization of circular pulsating strings in $$ \text {AdS}_3 \times \text {S}^3 $$ AdS3×S3 background with and without the Neveu-Schwarz–Neveu-Schwarz (NS–NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic sector in terms of...

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Bibliographic Details
Main Authors: Sorna Prava Barik, Kamal L. Panigrahi, Manoranjan Samal
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6362-3
Description
Summary:Abstract We discuss semiclassical quantization of circular pulsating strings in $$ \text {AdS}_3 \times \text {S}^3 $$ AdS3×S3 background with and without the Neveu-Schwarz–Neveu-Schwarz (NS–NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic sector in terms of scalar quantities and invariants of the geometry. The general equations for studying physical perturbations along the string in an arbitrary curved spacetime are written down using covariant formalism. We discuss the stability of these string configurations by studying the solutions of the linearized perturbed equations of motion.
ISSN:1434-6044
1434-6052