Giant Magnons under NS-NS and Melvin Fields

Abstract

The giant magnon is a rotating spiky string configuration which has the same dispersion relation between the energy and angular momentum as that of a spin magnon. In this paper we investigate the effects of the NS-NS and Melvin fields on the giant magnon. We first analyze the energy and angular momenta of the two-spin spiky D-string moving on the $Ad{S}_3\times S^1$ with the NS-NS field. Due to the infinite boundary of the AdS spacetime the D-string solution will extend to infinity and it appears the divergences. After adding the counter terms we obtain the dispersion relation of the corresponding giant magnon. The result shows that there will appear a prefactor before the angular momentum, in addition to some corrections in the sine function. We also see that the spiky profile of a rotating D-string plays an important role in mapping it to a spin magnon. We next investigate the energy and angular momentum of the one-spin spiky fundamental string moving on the $R\times S^2$ with the electric or magnetic Melvin field. The dispersion relation of the corresponding deformed giant magnon is also obtained. We discuss some properties of the correction terms and their relations to the spin chain with deformations.

Latex 20 pages, mention D-string and add references

References in corpus (40)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Bethe Ansatz for Quantum Strings
• Giant Magnons
• Multi-spin string solutions in AdS_5 x S^5
• Lax Pair for Strings in Lunin-Maldacena Background
• Spin chains and string theory
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Flux Stabilization of D-branes
• Quantizing three-spin string solution in AdS_5 x S^5
• Magnon Bound States and the AdS/CFT Correspondence
• Spiky strings and single trace operators in gauge theories
• Dyonic Giant Magnons
• The SU(3) spin chain sigma model and string theory
• Anti-de-Sitter D-branes
• Infinite spin limit of semiclassical string states
• Spiky strings and giant magnons on S5
• Boundary States for AdS_2 Branes in AdS_3
• Dressing the Giant Magnon
• Multispin Giant Magnons
• Comments on D-branes in AdS_3
• SL(2) spin chain and spinning strings on AdS_5xS^5
• Magnons, Classical Strings and beta-Deformations
• An action variable of the sine-Gordon model
• A note on spin chain/string duality
• Some comments on Anti-de Sitter D-branes
• Wound and Rotating Strings in AdS_5 x S^5
• Boundary States of D-branes in AdS_3 Based on Discrete Series
• Boundary States for D-branes in $Ad{S}_3$
• D-branes in Lorentzian AdS(3)
• Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Anti-de Sitter D-branes in Curved Backgrounds
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime
• AdS_2 D-Branes in Lorentzian AdS_3
• Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background
• Revisiting D-branes in $Ad{S}_3\times S^3$
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$

Cited by in corpus (10)

• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Single spike solutions for strings on S2 and S3
• Dressing the Giant Magnon II
• Giant Magnon in NS5-brane Background
• Scattering of single spikes
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• On the multi-spin magnon and spike solutions from membranes
• D1-brane in beta-Deformed Background
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Nonrelativistic giant magnons from Newton Cartan strings