Spinning Pulsating String Solitons in AdS_5 x S^5

Abstract

We point out the existence of some simple string solitons in AdS_5 x S^5, which at the same time are spinning in AdS_5 and pulsating in S^5, or vice-versa. This introduces an additional arbitrary constant into the scaling relations between energy and spin or R-charge. The arbitrary constant is not an angular momentum, but can be related to the amplitude of the pulsation. We discuss the solutions in detail and consider the scaling relations. Pulsating multi spin or multi R-charge solutions can also be constructed.

15 pages, Latex

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• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spinning strings and AdS/CFT duality
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Semiclassical Bethe Ansatz and AdS/CFT
• Pulsating Strings on AdS_5 x S^5
• Generalized pulsating strings
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Semiclassical strings in Lunin-Maldacena background
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Wound and Rotating Strings in AdS_5 x S^5
• Dual Spikes; New Spiky String Solutions
• Novel Explicit Multi Spin String Solitons in AdS(5)
• Improved Stability for Pulsating Multi-Spin String Solitons
• Folded Three-Spin String Solutions in AdS_5 x S^5
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Semiclassical String Solutions on 1/2 BPS Geometries
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
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• Multi-Spin Giants
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• Pulsating Strings With Angular Momenta
• On the Classical String Solutions and String/Field Theory Duality
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• On the Classical String Solutions and String/Field Theory Duality II
• Neumann-Rosochatius system for strings in ABJ Model
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• 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
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• Pulsating Strings in Deformed Backgrounds
• String Solutions in General Backgrounds