Perturbations of Pulsating Strings

Abstract

We discuss semiclassical quantization of circular pulsating strings in AdS3 x 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.

18 pages, to appear in EPJC

References in corpus (6)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Second order perturbations of relativistic membranes in curved spacetime
• Perturbations of spiky strings in AdS3

Cited by in corpus (4)

• On N-spike strings in conformal gauge with NS-NS fluxes
• Minimal surfaces with mixed three-form flux
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Perturbations of giant magnons and single spikes in $\mathbb{R}\times S^2$