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Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
High Energy Physics - Theory · Submitted 12 Jan 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on the exact S-martix conjectured for the deformed theory, we generalize the Luscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.
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We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-martix conjectured for the deformed theory, we generalize the Luscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. | contribution 0.98 | 0.96 | 0.24 | asserted 1.00 |
| s1 | Based on the exact S-martix conjectured for the deformed theory, we generalize the Luscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis. | contribution 0.51 | 0.92 | 0.55 | asserted 1.00 |
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Original abstract
We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-martix conjectured for the deformed theory, we generalize the Luscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.
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References
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5 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
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Also, one can easily check that the $AK$-matrix elements are matched well with the twist factors of the three-spin Bethe equations in [ref] ] : [equation] For consistency, the specific differences between the twisted quasimomenta should be matched with the scaling limit of the BR Bethe equations.[In [ref] , twisted quasimomenta were obtained from the scaling limit of the BR BAEs and the giant magnon in the $β$-deformed case was studied from the quasimomenta.] These can be checked simply by the following relations : [equation] since the elements of $AK$ appear in the scaled BR Bethe equations separately such as [equation]
Spectral curve for gamma-deformed AdS/CFT · Comparison to BR BAEs · 0.95
Cites it as background 1 paper
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Various aspects of marginal deformations of gauge theories and the gravity duals of them are investigated in [ref] .
$T^3$ deformations and $\beta$-deformed geometries · Introduction · 0.99
What it cites · 36 sentences without a confident label
Uses the method or tool of 1 paper
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In order to calculate explicitly the $μ$-term from Eq. ([ref]), we shall follow basically the calculations of [ref] .
Finite-Size Effects for Dyonic Giant Magnons · The $μ$-term calculation · 0.99
Compares with 1 paper
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Then one can obtain the twists ([ref]), up to the terms depending on the momentum $p$, by mapping the worldsheet excitations to the various physical polarizations of the algebraic curve fluctuations [ref] : [equation] If we use $ϕ̃̃̃_1(2π)-ϕ̃̃̃_1(0)=p=p_ws+2πβQ$ and $ϕ̃̃̃_2(2π)-ϕ̃̃̃_2(0)=2π(n_2-βJ)$ in the notations of [ref] , our twists ([ref]) also match the quasi-momentum asymptotic behaviors for the $SU(2)_β$ sector derived there [Actually it is not clear how to extend the analysis of [ref] to unphysical configurations, such as a single (dyonic) giant magnon, and to all the finite-gap solutions of the $β$-deformed theory.
Quantum Scattering of Giant Magnons · Twisted algebraic curve and quantum finite-size correction from the $F$-term · 0.82
Cites as background 6 papers
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In the developments of AdS/CFT duality, the $S$-matrix has been playing an essential role [ref] .
The Factorized S-Matrix of CFT/AdS · Introduction · 1.00
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In the developments of AdS/CFT duality, the $S$-matrix has been playing an essential role [ref] .
The su(2|2) Dynamic S-Matrix · Introduction · 1.00
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This duality has been generalized to a one-parameter marginal deformation of SYM, the so-called $β$-deformed SYM theory, which still preserves $N=1$ supersymmetry [ref] , and even to a three-parameter deformed theory which has no supersymmetry [ref] .
Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory · Introduction · 0.87
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