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Related papers: Giant Magnons in AdS4 x CP3: Embeddings, Charges a…

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In the string theory in AdS_4 \times CP^3 we construct the giant magnon and spike solutions with two spins in two kinds of subspaces of R_t \times CP^3 and derive the dispersion relations for them. For the single giant magnon solution in…

High Energy Physics - Theory · Physics 2011-07-19 Shijong Ryang

This paper studies giant magnons in AdS_4 x CP^3 using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP^1 string solution, which matches the `small'…

High Energy Physics - Theory · Physics 2010-12-16 Michael C. Abbott , Inês Aniceto , Olof Ohlsson Sax

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda)…

High Energy Physics - Theory · Physics 2008-09-17 Igor Shenderovich

We study a giant magnon and a spike solution for the string rotating on AdS(4) X CP**3 geometry. We consider rigid rotating fundamental string in the SU(2) X SU(2) sector inside the CP**3 and find out the general form of all the conserved…

High Energy Physics - Theory · Physics 2011-08-03 Bum-Hoon Lee , Kamal L. Panigrahi , Chanyong Park

We studied the finite-size giant magnons in $\text{AdS}_4\times\text{CP}^3_{\beta}$ background using the classical spectral curve constructed in this paper. We computed the finite-size corrections to the dispersion relations for the $RP^3$…

High Energy Physics - Theory · Physics 2021-10-12 Hui-Huang Chen , Jun-Bao Wu

In this paper we study the solitonic string solutions of magnon and single spike type in the beta-deformed AdS_4 x CP3 background. We find the dispersion relations which are supposed to give the anomalous dimension of the gauge theory…

High Energy Physics - Theory · Physics 2010-01-06 M. Schimpf , R. C. Rashkov

Giant magnons are one of the main manifestations of integrability on the string theory side of the AdS/CFT correspondence. Motivated by the recent advances in their study, especially in the context of the string theory dual of ABJM theory,…

High Energy Physics - Theory · Physics 2014-11-21 Chrysostomos Kalousios , Georgios Papathanasiou

We address the question about the exact form of the dispersion relation for light-cone string excitations in string theory in AdS3 x S3 x T4 with mixed R-R and NS-NS 3-form fluxes. The analogy with string theory in AdS5 x S5 suggests that…

High Energy Physics - Theory · Physics 2015-06-17 B. Hoare , A. Stepanchuk , A. A. Tseytlin

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one…

High Energy Physics - Theory · Physics 2008-12-25 Tomasz Lukowski , Olof Ohlsson Sax

The existence of a nontrivial interpolating function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been…

High Energy Physics - Theory · Physics 2010-12-15 Michael C. Abbott , Inês Aniceto , Diego Bombardelli

We study classical scattering phase of CP^2 dyonic giant magnons in R_t x CP^3. We construct two-soliton solutions explicitly by the dressing method. Using these solutions, we compute the classical time delays for the scattering of giant…

High Energy Physics - Theory · Physics 2014-11-20 Yasuyuki Hatsuda , Hiroaki Tanaka

We study giant magnons in the the D1-D5 system from both the boundary CFT and as classical solutions of the string sigma model in $AdS_3\times S^3\times T^4$. Re-examining earlier studies of the symmetric product conformal field theory we…

High Energy Physics - Theory · Physics 2014-11-18 Justin R. David , Bindusar Sahoo

We consider classical string spectrum of R x CP^3, and construct a family of solutions with residual SU(2) symmetry by the dressing method on SU(4)/U(3) sigma model. All of them obey the square-root type dispersion relation, as is expected…

High Energy Physics - Theory · Physics 2009-06-10 Ryo Suzuki

A new example of AdS/CFT duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory has recently been provided by ABJM. By now a number of papers have considered particular giant magnon classical string…

High Energy Physics - Theory · Physics 2009-07-22 Chrysostomos Kalousios , Marcus Spradlin , Anastasia Volovich

We compute classical and first quantum finite-size corrections to the recently found giant magnon solutions in two different subspaces of $\mathbb{CP}^3$. We use the L\"{u}scher approach on the recently proposed exact S-matrix for…

High Energy Physics - Theory · Physics 2009-07-22 Diego Bombardelli , Davide Fioravanti

We consider the most general string configurations on the R_t x S^3 subspace of AdS_5 xS^5, described by the Neumann-Rosochatius integrable system. Under some restrictions on the parameters of the solution and in an appropriate limit, they…

High Energy Physics - Theory · Physics 2010-10-27 Plamen Bozhilov

We study giant magnon solutions for strings moving on a deformed AdS(3)xS(3) background. We impose a conformal gauge on the Polyakov action and proceed with solving the Virasoro constraints. The expressions of the conserved charge J and the…

High Energy Physics - Theory · Physics 2014-09-10 Malak Khouchen , Josef Kluson

We use the reduction of the string dynamics on AdS_4 x CP^3 to the Neumann-Rosochatius integrable system. All constraints can be expressed simply in terms of a few parameters. We analyze the giant magnon and single spike solutions on R_t x…

High Energy Physics - Theory · Physics 2011-08-03 Changrim Ahn , P. Bozhilov , R. C. Rashkov

We study solutions for rigidly rotating strings on AdS$_4 \times$ CP$^3$ in the presence of $B_{\rm NS}$ holonomy turned on over $CP^1 \subset CP^3$. We construct general solutions for rotating strings with two and three angular momenta in…

High Energy Physics - Theory · Physics 2015-08-27 Kamal L. Panigrahi , Pabitra M. Pradhan , Pratap K. Swain

We consider strings moving in the R_t x S^3_\eta subspace of the \eta-deformed AdS_5 x S^5 and obtain a class of solutions depending on several parameters. They are characterized by the string energy and two angular momenta. Finite-size…

High Energy Physics - Theory · Physics 2015-06-19 Changrim Ahn , Plamen Bozhilov
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