Large Winding Sector of AdS/CFT

Abstract

We study a family of classical strings on R x S^3 subspace of the AdS_5 x S^5 background that interpolates between pulsating strings and single-spike strings. They are obtained from the helical strings of hep-th/0609026 by interchanging worldsheet time and space coordinates, which maps rotating/spinning string states with large spins to oscillating states with large winding numbers. From a finite-gap perspective, this transformation is realised as an interchange of quasi-momentum and quasi-energy defined for the algebraic curve. The gauge theory duals are also discussed, and are identified with operators in the non-holomorphic sector of N=4 super Yang-Mills. They can be viewed as excited states above the ``antiferromagnetic'' state, which is ``the farthest from BPS'' in the spin-chain spectrum. Furthermore, we investigate helical strings on AdS_3 x S^1 in an appendix.

1+52 pages, 10 figures, v2: references and comments added, v3: minor changes and a reference added

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Cited by in corpus (29)

• Generating AdS String Solutions
• Finite-Size Effects for Dyonic Giant Magnons
• Moduli Dynamics of AdS_3 Strings
• Notes on supersymmetric Wilson loops on a two-sphere
• Finite Size Giant Magnon
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Scattering of single spikes
• Singularities of the Magnon Boundstate S-Matrix
• Spiky strings on AdS3 x S3 with NS-NS flux
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• A note on string solutions in AdS_3
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Wilson loops T-dual to Short Strings
• Spiky Strings on I-brane
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Spiky strings in de Sitter space
• Semiclassical Strings on Curved Branes
• Giant Spinons
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Neumann-Rosochatius system for strings on I-brane
• Novel aspects of integrability for NLSMs in symmetric spaces