Three-spin giant magnons in AdS 5 × S 5

Section: Discussionsupporting

confidence: 82%

“…This expression matches with that of [22] even if we are dealing with β-deformed background and has implicit dependence on the deformation parameterγ in the definition of ∆φ 1 .…”

Section: Giant Magnon Solutionsupporting

confidence: 61%

“…As the conserved charges are divergent, we use the same regularization technique as in [22] to remove the divergent part of the conserved charges. Let us write …”

Section: Giant Magnon Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Three spin spiky strings in β-deformed background

Panigrahi

Pradhan

Swain

2012

“…The classic mathematical evidences regarding the existence of an integrable structure on both sides of the AdS 5 /CFT 4 duality [1] might be regarded as one of the major theoretical advancements that took place during the past one and half decade [2]- [61]. It turns out that, in the so called planar limit, the dilatation operator associated with N = 4 SYM could be mapped to that with the corresponding Hamiltonian of an integrable spin chain in one dimension [5].…”

Section: Overview and Motivationmentioning

confidence: 99%

Stringy correlations on deformed AdS3 × S 3

Roychowdhury

2017

In this paper, following the basic prescriptions of Gauge/String duality, we perform a strong coupling computation on classical two point correlation between local (single trace) operators in a gauge theory dual to κ-deformed AdS 3 × S 3 background. Our construction is based on the prescription that relates every local operator in a gauge theory to that with the (semi)classical string states propagating within the physical region surrounded by the holographic screen in deformed AdS 3 . In our analysis, we treat strings as being that of a point like object located near the physical boundary of the κ-deformed Euclidean Poincare AdS 3 and as an extended object with non trivial dynamics associated to S 3 . It turns out that in the presence of small background deformations, the usual power law behavior associated with two point functions is suppressed exponentially by a non trivial factor which indicates a faster decay of two point correlations with larger separations. On the other hand, in the limit of large background deformations (κ 1), the corresponding two point function reaches a point of saturation. In our analysis, we also compute finite size corrections associated with these two point functions at strong coupling. As a consistency check of our analysis, we find perfect agreement between our results to that with the earlier observations made in the context of vanishing deformation.

Giant magnons and non-maximal giant gravitons

Ciavarella¹

2011

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.Comment: 34 pages, 8 figure