Generating AdS String Solutions

Abstract

We use a Pohlmeyer type reduction to generate classical string solutions in AdS spacetime. In this framework we describe a correspondence between spikes in AdS_3 and soliton profiles of the sinh-Gordon equation. The null cusp string solution and its closed spinning string counterpart are related to the sinh-Gordon vacuum. We construct classical string solutions corresponding to sinh-Gordon solitons, antisolitons and breathers by the inverse scattering technique. The breather solutions can also be reproduced by the sigma model dressing method.

21 pages, 3 figures, references added

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Cited by in corpus (71)

• Thermodynamic Bubble Ansatz
• Y-system for Scattering Amplitudes
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Scattering into the fifth dimension of N=4 super Yang-Mills
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Pohlmeyer reduction revisited
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• On reduced models for superstrings on AdS_n x S^n
• Unanswered Questions in the Electroweak Theory
• Solitons and AdS String Solutions
• Moduli Dynamics of AdS_3 Strings
• Notes on supersymmetric Wilson loops on a two-sphere
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
• Correlation functions of magnon and spike
• On the perturbative S-matrix of generalized sine-Gordon models
• On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
• Wilson loops and minimal area surfaces in hyperbolic space
• On spacelike and timelike minimal surfaces in $Ad{S}_n$
• Geometric aspects of the ODE/IM correspondence
• Wilson loops and Riemann theta functions II
• Singularities of the Magnon Boundstate S-Matrix
• Space-like minimal surfaces in AdS x S
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Dressed Giant Magnons on CP^3
• A note on string solutions in AdS_3
• Constant mean curvature surfaces in AdS_3
• Aspects of Integrability in AdS/CFT Duality
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• Segmented Strings in $Ad{S}_3$
• Some comments on spacelike minimal surfaces with null polygonal boundaries in $Ad{S}_m$
• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
• Kinks and branes in models with hyperbolic interactions
• Spiky Strings and Giant Holes
• A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• On Elliptic String Solutions in AdS(3) and dS(3)
• Exact solutions for N-magnon scattering
• Series Solution and Minimal Surfaces in AdS
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• General Leznov-Savelev solutions for Pohlmeyer reduced AdS${}_5$ minimal surfaces
• Scattering amplitudes at strong coupling for 4K gluons
• Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
• Scattering of Giant Holes
• A Spin Chain from String Theory
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Dressed Elliptic String Solutions on RxS^2
• Generating string solutions in BTZ
• Giant Holes
• Deviation from Alday-Maldacena Duality For Wavy Circle
• Salient Features of Dressed Elliptic String Solutions on $\mathbb{R}\times$S${}^2$
• Spiky strings in de Sitter space
• Gravitating spinning strings in AdS${}_3$
• Singular Liouville fields and spiky strings in $\rr^{1,2}$ and $SL(2,\rr)$
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• Vacuum type space-like string surfaces in AdS_3 x S^3
• Revisiting the O(3) Non-linear Sigma Model and Its Pohlmeyer Reduction
• Spiky Strings with Two Spins in AdS5
• SU(N) affine Toda solitons and breathers from transparent Dirac potentials
• Novel aspects of integrability for NLSMs in symmetric spaces
• The spectral curve of segmented strings