Pulsating Strings on AdS_5 x S^5

Abstract

We find the anomalous dimension and the conserved charges of an R-charged string pulsating on AdS_5. The analysis is performed both on the gauge and string side, where we find agreement at the one-loop level. Furthermore, the solution is shown to be related by analytic continuation to a string which is pulsating on S^5, thus providing an example of the close relationship between the respective isometry groups.

14 pages. v2: minor changes, references added. v3: references added and updated

References in corpus (20)

• Classical/quantum integrability in AdS/CFT
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Spinning strings and AdS/CFT duality
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• The SU(3) spin chain sigma model and string theory
• New Integrable Structures in Large-N QCD
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Two-loop commuting charges and the string/gauge duality
• Higher Loops Beyond the SU(2) Sector
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• Generalized pulsating strings
• A note on spin chain/string duality
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• Towards the exact dilatation operator of N=4 super Yang-Mills theory
• Semiclassical spinning strings and confining gauge theories
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Pulsating strings in warped AdS_6 x S^4 geometry
• Multi-spin string solutions in AdS Black Hole and confining backgrounds

Cited by in corpus (48)

• Bethe Ansatz for Quantum Strings
• The Factorized S-Matrix of CFT/AdS
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Lax Pair for Strings in Lunin-Maldacena Background
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Semiclassical Bethe Ansatz and AdS/CFT
• One-Loop QCD Spin Chain and its Spectrum
• Higher Loops Beyond the SU(2) Sector
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Semiclassical strings in Lunin-Maldacena background
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Wound and Rotating Strings in AdS_5 x S^5
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Spin Models and Superconformal Yang-Mills Theory
• Dual Spikes; New Spiky String Solutions
• The SU(2) sector in AdS/CFT
• Spiky strings on AdS3 x S3 with NS-NS flux
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Semiclassical String Solutions on 1/2 BPS Geometries
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Nonrelativistic pulsating strings
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Pulsating Strings With Angular Momenta
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• On the pulsating strings in AdS_5 x T^{1,1}
• On the pulsating strings in AdS_4 x CP3
• Pulsating Strings in Lunin-Maldacena Backgrounds
• Semiclassical Strings on Curved Branes
• Three Spin Spiky Strings in beta-deformed Background
• Neumann-Rosochatius system for strings in ABJ Model
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Rotating and Orbiting Strings in Dp-brane background
• Neumann-Rosochatius system for strings on I-brane
• Pulsating strings in I-brane background
• Circular strings in Kerr-$Ad{S}_5$ black holes
• Pulsating string solution and stability in two parameter $\chi$-deformed background
• Pulsating Strings in Deformed Backgrounds
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• Semi-classical strings in $(2+1)-$dimensional backgrounds