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We discuss classical integrable structure of two-dimensional sigma models which have three-dimensional Schrodinger spacetimes as target spaces. The Schrodinger spacetimes are regarded as null-like deformations of AdS_3. The original AdS_3…

High Energy Physics - Theory · Physics 2015-05-30 Io Kawaguchi , Kentaroh Yoshida

In this paper, we consider two almost opposite sectors of actual string configuration ans\"atze in $AdS_5\times S^5$, which anyway have almost the same features: The two spin solution, which has constant angles in $S^5$ and the two angular…

High Energy Physics - Theory · Physics 2022-04-27 Arne Lykke Larsen

In this work we find the general static vacuum solution of three dimensional gravity with negative cosmological constant. Even though all solutions are locally diffeomorphic to pure $AdS_{3}$, solutions that differ globally from the latter…

High Energy Physics - Theory · Physics 2016-03-18 Nidal Haddad

We present two kinds of resonance soliton solutions on the Ultrahyperbolic space $\mathbb{U}$ for the G=U(2) Yang equation, which is equivalent to the anti-self-dual Yang-Mills (ASDYM) equation. We reveal and illustrate the solitonic…

High Energy Physics - Theory · Physics 2025-04-21 Shangshuai Li , Masashi Hamanaka , Shan-Chi Huang , Da-Jun Zhang

We study D-branes that preserve a diagonal SL(2) affine Lie algebra in string theory on AdS_3. We find three classes of solutions, corresponding to the following representations of SL(2): (1) degenerate, finite dimensional representations…

High Energy Physics - Theory · Physics 2009-11-07 A. Giveon , D. Kutasov , A. Schwimmer

We obtain numerical solutions for rotating topological solitons of the nonlinear $\sigma$-model in three-dimensional Anti-de Sitter space. Two types of solutions, $i)$ and $ii)$, are found. The $\sigma$-model fields are everywhere well…

High Energy Physics - Theory · Physics 2017-01-04 B. Harms , A. Stern

We study rigidly rotating strings in the $\varkappa$-deformed $AdS_3 \times S^3$ background. We find out two classes of solutions corresponding to the giant magnon and single spike solutions of the string rotating in two $S^2_{\varkappa}$…

High Energy Physics - Theory · Physics 2015-06-22 Aritra Banerjee , Kamal L. Panigrahi

We study finite size corrections to the semiclassical string solutions of the Schrodinger spacetime. We compute the leading order exponential corrections to the infinite size dispersion relation of the single spin giant magnon and of the…

High Energy Physics - Theory · Physics 2020-06-04 Dimitrios Zoakos

The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by…

High Energy Physics - Theory · Physics 2009-10-28 I. Bakas , Q-Han Park , H. J. Shin

In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordon equation. The explicit formulas for one kink and one breather are derived. The method can be used to construct multi-soliton solutions.…

Exactly Solvable and Integrable Systems · Physics 2016-03-11 Alexander V. Mikhailov , Georgios Papamikos , Jing Ping Wang

We carefully examine the Polyakov path integral for strings on $\text{AdS}_3$ in superspace, both for type II and heterotic superstrings. We construct a free-field realization of the supersymmetric $\text{SL}(2,\mathbb{R})$ WZW model which…

High Energy Physics - Theory · Physics 2026-03-20 Bob Knighton , Nathan McStay , Vit Sriprachyakul

The computation of two and three point functions in the Coulomb gas free field approach to string theory in the SL(2,R)/U(1) black hole background is reviewed. An interesting relation arises when comparing the results obtained using two…

High Energy Physics - Theory · Physics 2009-11-07 Gaston Giribet , Carmen Nunez

We ask the question of classical integrability for certain (classes of) supergravity vacua that contain an AdS$_3$ factor arising in massive IIA and IIB theories and realizing various and different amounts of supersymmetry. Our approach is…

High Energy Physics - Theory · Physics 2021-02-08 Konstantinos S. Rigatos

We build a new technique to generate rotation from arbitrary static solutions that asymptote to four- or five-dimensional Minkowski spacetime. The method is purely algebraic and does not require solving Einstein equations. It proceeds by…

High Energy Physics - Theory · Physics 2026-05-18 Soumangsu Chakraborty , Pierre Heidmann , Gela Patashuri

String stars, or Horowitz-Polchinski solutions, are Euclidean string theory saddles with a normalizable condensate of thermal winding strings. String stars were suggested as a possible description of stringy (Euclidean) black holes close to…

High Energy Physics - Theory · Physics 2023-09-13 Erez Y. Urbach

We find a new class of spiky solutions for closed strings in flat, $AdS_3\subset AdS_5$ and $R\times S^2(\subset S^5)$ backgrounds. In the flat case the new solutions turn out to be T-dual configurations of spiky strings found by Kruczenski…

High Energy Physics - Theory · Physics 2009-04-30 A. E. Mosaffa , B. Safarzadeh

We discuss two classes of exact (in $\a'$) string solutions described by conformal sigma models. They can be viewed as two possibilities of constructing a conformal model out of the non-conformal one based on the metric of a $D$-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

Based on the recently considered classical string configurations, in the framework of the semi-classical limit of the string/gauge theory correspondence, we describe a procedure for obtaining exact classical string solutions in general…

High Energy Physics - Theory · Physics 2007-05-23 D. Aleksandrova , P. Bozhilov

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

The AdS$_3\times$S$^3$ excitations of string theory on AdS$_3\times$S$^3\times \mathbb{T}^4$ are identified with certain collective modes in the dual symmetric orbifold. Our identification follows from a careful study of the conformal…

High Energy Physics - Theory · Physics 2024-12-05 Matthias R. Gaberdiel , Dennis Kempel , Beat Nairz
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