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Spectral curve methods proved to be powerful techniques in the context of relativistic integrable string theories, since they allow to derive the semiclassical spectrum from the minimal knowledge of a Lax pair and a classical string…

High Energy Physics - Theory · Physics 2023-02-15 Andrea Fontanella , Juan Miguel Nieto García , Olof Ohlsson Sax

Various holographic approaches to QCD in five dimensions are explored using input both from the putative non-critical string theory as well as QCD. It is argued that a gravity theory in five dimensions coupled to a dilaton and an axion may…

High Energy Physics - Theory · Physics 2009-11-18 U. Gursoy , E. Kiritsis

We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by a 2d duality…

High Energy Physics - Theory · Physics 2009-11-10 G. Arutyunov , S. Frolov

We present a perturbative derivation of the T-system that is believed to encode the exact spectrum of planar N=4 SYM. The T-system is understood as an operator identity between some special line operators, the quantum transfer matrices. By…

High Energy Physics - Theory · Physics 2016-01-20 Raphael Benichou

The world-sheet S-matrix of the string in AdS5 x S5 has been shown to admit a q-deformation that relates it to the S-matrix of a generalization of the sine-Gordon theory, which arises as the Pohlmeyer reduction of the superstring. Whilst…

High Energy Physics - Theory · Physics 2015-06-15 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We investigate the question of possible integrability of classical string motion in curved p-brane backgrounds. For example, the D3-brane metric interpolates between the flat and the AdS_5 x S^5 regions in which string propagation is…

High Energy Physics - Theory · Physics 2013-03-06 A. Stepanchuk , A. A. Tseytlin

We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS_5xS^5. For any solution of the equations of motion we derive a spectral curve of degree 4+4. The curve consists purely of conserved quantities, all…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , V. A. Kazakov , K. Sakai , K. Zarembo

We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring action and study the classical integrable structure of anisotropic Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits. The subsectors are 1)…

High Energy Physics - Theory · Physics 2015-06-19 Takashi Kameyama , Kentaroh Yoshida

We describe a simple method for generating new string solutions for which the brane worldvolume is a curved space. As a starting point we use solutions with NS-NS charges combined with 2-d CFT's representing different parts of space-time.…

High Energy Physics - Theory · Physics 2009-09-17 G. Papadopoulos , J. Russo , A. A. Tseytlin

Recently, a gauged linear sigma model was proposed by Berkovits and Vafa which can be used to describe the AdS_5xS^5 superstring at finite and zero radius. In this paper we show that the model is classically integrable by constructing its…

High Energy Physics - Theory · Physics 2009-11-13 William D. Linch , Brenno Carlini Vallilo

String theory on NS-NS AdS_3 x S^3 admits an exactly marginal deformation which breaks the SL(2,R)_R x SL(2,R)_L isometry of AdS_3 down to SL(2,R)_R x U(1)_L. The holographic dual is an exotic and only partially understood type of…

High Energy Physics - Theory · Physics 2015-06-05 Tatsuo Azeyanagi , Diego M. Hofman , Wei Song , Andrew Strominger

We argue that a class of ``non-critical superstring'' vacua is holographically related to the (non-gravitational) theory obtained by studying string theory on a singular Calabi-Yau manifold in the decoupling limit $g_s\to 0$. In two…

High Energy Physics - Theory · Physics 2010-02-03 A. Giveon , D. Kutasov , O. Pelc

We study the reduction of classical strings rotating in the deformed three-sphere truncation of the double Yang-Baxter deformation of the $\hbox{AdS}_3 \times \hbox{S}^3 \times \hbox{T}^4$ background to an integrable mechanical model. The…

High Energy Physics - Theory · Physics 2023-05-12 Rafael Hernandez , Roberto Ruiz

We further study integrable deformations of the AdS$_5\times$S$^5$ superstring by following the Yang-Baxter sigma model approach with classical $r$-matrices satisfying the classical Yang-Baxter equation (CYBE). Deformed string backgrounds…

High Energy Physics - Theory · Physics 2014-12-12 Takuya Matsumoto , Kentaroh Yoshida

We examine the leading Regge string states relevant for semi-classical spinning string solutions. Using elementary RNS techniques, quadratic terms in an effective lagrangian are constructed which describe massive NSNS strings in a…

High Energy Physics - Theory · Physics 2008-11-26 Benjamin A. Burrington , James T. Liu

In this letter we use a perturbative approach to find the spectrum of non-relativistic strings in the String Newton-Cartan (SNC) AdS$_5\times$S$^5$ spacetime. We perturb the bosonic sector of the action around a BMN-like folded string…

High Energy Physics - Theory · Physics 2025-03-24 Marius de Leeuw , Andrea Fontanella , Juan Miguel Nieto García

We study rigidly rotating strings in $\beta$-deformed $AdS_5\times S^5$ background with one spin along AdS$_5$ and two angular momenta along $S^5$. We find the spiky string solutions and present the dispersion relation among various charges…

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

We investigate geometrical properties of 5D cylindrical vacuum solutions with a transverse spherical symmetry. The metric is uniform along the fifth direction and characterized by tension and mass densities. The solutions are classified by…

General Relativity and Quantum Cosmology · Physics 2011-08-31 Inyong Cho , Gungwon Kang , Sang Pyo Kim , Chul H. Lee

Homogeneous gravitational wave backgrounds arise as infinite momentum limits of many geometries with a well-understood holographic description. General global aspects of these geometries are discussed. Using exact CFT techniques, strings in…

High Energy Physics - Theory · Physics 2009-11-07 E. Kiritsis , B. Pioline

The equation of motion of an extended object in spacetime reduces to an ordinary differential equation in the presence of symmetry. By properly defining of the symmetry with notion of cohomogeneity, we discuss the method for classifying all…

General Relativity and Quantum Cosmology · Physics 2024-07-04 Tatsuhiko Koike , Hiroshi Kozaki , Hideki Ishihara