Boundary Giant Magnons and Giant Gravitons

Abstract

We construct the full set of boundary giant magnons on $\mathbb{R}\times S^2$ attached to the maximal $Z=0$ giant graviton by mapping from the general solution to static sine-Gordon theory on the interval and compute the values of $\Delta -J$ at finite $J$, including the leading order corrections when $J$ is large. We then consider the Born-Infeld theory of the giant graviton itself to construct BIon spike solutions that correspond to the world volume description of the boundary giant magnons at finite $J$.

35 pages, 10 figures. Minor corrections only

References in corpus (20)

• Large N Field Theories, String Theory and Gravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• A semi-classical limit of the gauge/string correspondence
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• The su(2|2) Dynamic S-Matrix
• Finite-size Effects from Giant Magnons
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Dyonic Giant Magnons
• Reflecting magnons
• Lagrangian Formulation of Symmetric Space sine-Gordon Models
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• The boundary sine-Gordon theory: classical and semi-classical analysis
• Fat Magnon
• Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
• (Semi)classical analysis of sine-Gordon theory on a strip
• Zero Modes for the Boundary Giant Magnons

Cited by in corpus (4)

• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Giant magnons and non-maximal giant gravitons