A Perspective on Classical Strings from Complex Sine-Gordon Solitons

Abstract

We study a family of classical string solutions with large spins on R x S^3 subspace of AdS_5 x S^5 background, which are related to Complex sine-Gordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings are cast into Lame equations and Complex sine-Gordon equations. We solve them under periodic boundary conditions, and obtain analytic profiles for the closed strings. They interpolate two kinds of known rigid configurations with two spins: on one hand, they reduce to folded or circular spinning/rotating strings in the limit where a soliton velocity goes to zero, while on the other hand, the dyonic giant magnons are reproduced in the limit where the period of a kink-array goes to infinity.

1+26 pages, 6 figures. v2: minor corrections. v3: minor corrections, references added, published version. v4: minor corrections

References in corpus (12)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• Spinning strings and AdS/CFT duality
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Spiky strings and giant magnons on S5
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• Dressing the Giant Magnon
• A Symplectic Structure for String Theory on Integrable Backgrounds
• Semiclassical strings and AdS/CFT
• On the Scattering of Magnon Boundstates

Cited by in corpus (58)

• Dressing and Wrapping
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Single spike solutions for strings on S2 and S3
• Gauge invariant finite size spectrum of the giant magnon
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Dressing the Giant Magnon II
• Finite-Size Effects for Dyonic Giant Magnons
• Finite size effects for giant magnons on physical strings
• Moduli Dynamics of AdS_3 Strings
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• The scaling function at strong coupling from the quantum string Bethe equations
• Fat Magnon
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Large Winding Sector of AdS/CFT
• Correlation functions of magnon and spike
• Zero modes for the giant magnon
• Scattering of single spikes
• Quantum Scattering of Giant Magnons
• On the perturbative S-matrix of generalized sine-Gordon models
• Finite-size effects of Membranes on AdS_4 x S_7
• Stability of Topological Black Holes
• Singularities of the Magnon Boundstate S-Matrix
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Semiclassical Quantization of the Giant Magnon
• Giant Magnons on CP^3 by Dressing Method
• Complex solitons with real energies
• Giant Magnons and Singular Curves
• Aspects of Integrability in AdS/CFT Duality
• On the multi-spin magnon and spike solutions from membranes
• Emergent Classical Strings from Matrix Model
• Nesting and Dressing
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Non-Abelian Toda field theories from a 4D Chern-Simons theory
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Dressed Elliptic String Solutions on RxS^2
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Salient Features of Dressed Elliptic String Solutions on $\mathbb{R}\times$S${}^2$
• Stability Analysis of Classical String Solutions and the Dressing Method
• Spiky strings in de Sitter space
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Giant magnons and non-maximal giant gravitons
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Giant Spinons
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Spin chains and classical strings in rotating Rindler-AdS space
• Solitons as baryons and qualitons as constituent quarks in two-dimensional QCD
• Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
• Novel aspects of integrability for NLSMs in symmetric spaces
• P-Branes Dynamics, AdS/CFT and Correlation Functions