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We study solutions for rigidly rotating strings on a two sphere. Among them we find two limiting cases that have a particular interest, one is the already known giant magnon and the other we call the single spike solution. The limiting…

High Energy Physics - Theory · Physics 2008-11-26 Riei Ishizeki , Martin Kruczenski

We study rigid string solutions rotating in $AdS_5\times S^5$ background. For particular values of the parameters of the solutions we find multispin solutions corresponding to giant magnons and single spike strings. We present an analysis…

High Energy Physics - Theory · Physics 2008-11-26 H. Dimov , R. C. Rashkov

The single spike is a rigidly rotating classical string configuration closely related to the giant magnon. We calculate bosonic and fermionic modes of this solution, from which we see that it is not supersymmetric. It can be viewed as an…

High Energy Physics - Theory · Physics 2008-11-26 Michael C. Abbott , Inês Aniceto

Recently, classical solutions for strings moving in AdS5 x S5 have played an important role in understanding the AdS/CFT correspondence. A large set of them were shown to follow from an ansatz that reduces the solution of the string…

High Energy Physics - Theory · Physics 2009-11-11 M. Kruczenski , J. Russo , A. A. Tseytlin

In recent work, several classes of solitonic solutions of string theory with higher-membrane structure have been obtained. These solutions can be classified according to the symmetry possessed by the solitons in the subspace of the…

High Energy Physics - Theory · Physics 2009-10-22 Ramzi R. Khuri

It is known that large class of classical string solutions in the type IIB AdS_5xS^5 background is related to the Neumann and Neumann-Rosochatius integrable systems, including spiky strings and giant magnons. It is also interesting if these…

High Energy Physics - Theory · Physics 2008-11-26 P. Bozhilov

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the…

High Energy Physics - Theory · Physics 2010-02-03 Riei Ishizeki , Martin Kruczenski , Marcus Spradlin , Anastasia Volovich

We study rigid string solutions rotating on the S^3 subspace of the beta-deformed AdS_5xS^5 background found by Lunin and Maldacena. For particular values of the parameters of the solutions we find the known giant magnon and single spike…

High Energy Physics - Theory · Physics 2008-11-26 N. P. Bobev , R. C. Rashkov

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

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 spiky configurations of membranes in the SO(d)xSU(N) invariant matrix models. A class of exact solutions (analogous to plane-waves) of the corresponding Schroedinger equation for an arbitrary N is discussed. If the large N limit is…

High Energy Physics - Theory · Physics 2015-05-14 Maciej Trzetrzelewski

We study solutions for the rotating strings on the sphere with a background NS-NS field and on the Anti-de-Sitter spacetime. We show the existence of magnon and single spike solutions on R$\times$S$^2$ in the presence of constant magnetic…

High Energy Physics - Theory · Physics 2014-11-18 Bum-Hoon Lee , Rashmi R. Nayak , Kamal L. Panigrahi , Chanyong Park

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 explicitly construct a large class of finite-volume two-magnon string solutions moving on R x S^2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions…

High Energy Physics - Theory · Physics 2008-11-26 Thomas Klose , Tristan McLoughlin

We study solutions for a rotating string on S^3 with a background NS-NS B-field and show the existence of spiky string and giant magnon as two limiting solutions. We make a connection to the sine-Gordon model via the Polyakov worldsheet…

High Energy Physics - Theory · Physics 2009-07-03 Chiang-Mei Chen , Jia-Hao Tsai , Wen-Yu Wen

We study a family of classical string solutions with large spins on R x S^3 subspace of AdS_5 x S^5 background, which are related to Complex sine-Gordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings…

High Energy Physics - Theory · Physics 2009-12-07 Keisuke Okamura , Ryo Suzuki

We study classical string solutions on RxS^2 that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived inverting Pohlmeyer reduction and classified with respect to their…

High Energy Physics - Theory · Physics 2018-12-04 Dimitrios Katsinis , Ioannis Mitsoulas , Georgios Pastras

Using the reduction of the string sigma model to the 1-d Neumann integrable model we reconstruct the closed string solution with two equal spins in AdS_5 which is specified by the number of round arcs and one winding number. From the string…

High Energy Physics - Theory · Physics 2014-11-20 Shijong Ryang

We study the spectrum around the "antiferromagnetic" states of the planar AdS_5/CFT_4 duality. In contrast to the familiar large-spin limit J \to \infty where each magnon momentum scales as p \sim 1/J << 1, we consider a novel…

High Energy Physics - Theory · Physics 2014-11-20 Keisuke Okamura

We consider semi-classical solution of membranes on the AdS_4 x S^7. This is supposed to be dual to the N=6 super Chern-Simons theory with k=1 in a planar limit recently proposed by Aharony, Bergmann, Jafferis, and Maldacena (ABJM). We have…

High Energy Physics - Theory · Physics 2011-03-02 Changrim Ahn , P. Bozhilov
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