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Giant magnons and non-maximal giant gravitons
High Energy Physics - Theory · Submitted 5 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Relating the two boundary parameters in a special way we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase.
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We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in \cite{KPV} together with explicit moduli. Relating the two boundary parameters in a special way we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in \cite{KPV} together with explicit moduli. | contribution 0.60 | 0.92 | 0.16 | asserted 1.00 |
| s1 | Relating the two boundary parameters in a special way we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase. | contribution 0.65 | 0.94 | 0.50 | asserted 1.00 |
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The paper
Original abstract
We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in \cite{KPV} together with explicit moduli. Relating the two boundary parameters in a special way we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase.
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References
How the literature uses it
1 arXiv paper cite this in 2 sentences
What it cites · 46 sentences without a confident label
Uses the method or tool of 1 paper
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We produce the open strings on $ℝ×S^2$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in [ref] together with explicit moduli.
Exact solutions for N-magnon scattering · Introduction · 0.80
Uses data or values from 1 paper
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The leading contribution to the magnon boundary scattering phase as calculated in [ref] is δ_B^Max Z=0=-4gcosp/2ln{cosp/2(1-sinp/2/1+sinp/2)}.
Reflecting magnons · Scattering with maximal $Z=0$ and $Y=0$ giant gravitons · 0.85
Cites as background 7 papers
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We follow Hofman and Maldacena's convention [ref] of taking the large angular momentum possessed by the strings and branes to be in the ${X_5,X_6}$ direction and hence referring to the physically distinct orientations of the branes as either $Y=0$ or $Z=0$.
Reflecting magnons · Scattering giant magnons off giant gravitons and semi-classical phase shifts · 0.80
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Sine-Gordon theory for a single scalar field $φ(x,t)∈ℝ$ may be defined on the half-line [ref] while preserving its integrability, i.e. conserving an infinite number of constants of motion and $N$-soliton solutions.
The boundary sine-Gordon theory: classical and semi-classical analysis · Boundary sine-Gordon theory · 0.89
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Giant gravitons [ref] are stable but finite energy D-branes on the $AdS_5×S^5$ background that may act as end points for the open strings that emerge as their excitations [ref] .
Open Strings from N=4 Super Yang-Mills · Introduction · 0.98
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