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The $AdS_3\times S^3$ string sigma model supported both by NS-NS and R-R fluxes has become a well known integrable model, however a putative dual field theory description remains incomplete. We study the anomalous dimensions of twist…

High Energy Physics - Theory · Physics 2019-10-02 Aritra Banerjee , Sagar Biswas , Priyadarshini Pandit , Kamal L. Panigrahi

In this paper we present semiclassical computations of the splitting of folded spinning strings in AdS_3, which may be of interest in the context of AdS/CFT duality. We start with a classical closed string and assume that it can split on…

High Energy Physics - Theory · Physics 2015-03-19 E. M. Murchikova

We study segmented strings in flat space and in $AdS_3$. In flat space, these well known classical motions describe strings which at any instant of time are piecewise linear. In $AdS_3$, the worldsheet is composed of faces each of which is…

High Energy Physics - Theory · Physics 2016-01-20 Nele Callebaut , Steven S. Gubser , Andreas Samberg , Chiara Toldo

Semiclassical spinning string states in AdS_5 are, in general, characterised by the three SO(2,4) conserved charges: the energy E and the two spins S_1 and S_2. We discuss several examples of explicit classical solutions for rigid closed…

High Energy Physics - Theory · Physics 2013-05-29 A. Tirziu , A. A. Tseytlin

We propose a Quantum Spectral Curve for planar string theory on AdS3*S3*S3*S1 supported by pure Ramond-Ramond flux. Our proposal is built on symmetry considerations and integrability-based functional relations. To test our construction, we…

High Energy Physics - Theory · Physics 2025-11-14 Filipp Chernikov , Simon Ekhammar , Nikolay Gromov , Benjamin Smith

We present the OSp(2,2|6) symmetric algebraic curve for the AdS4/CFT3 duality recently proposed in arXiv:0806.1218. It encodes all classical string solutions at strong t'Hooft coupling and the full two loop spectrum of long single trace…

High Energy Physics - Theory · Physics 2009-02-20 Nikolay Gromov , Pedro Vieira

In this note, we consider the equations of motion for charged branes in AdS space and show that they can be cast into one-dimensional coupled Toda type. Then we solve the equations of motion to construct static charged AdS brane solutions…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Sangheon Yun

In this work, we calculate correlators of long strings on AdS$_3\times$S$^3\times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity…

High Energy Physics - Theory · Physics 2025-04-29 Zhe-fei Yu , Cheng Peng

The so called one-parameter (often called $\varkappa$) deformed $AdS$ string sigma models have attracted a lot of attention lately in the study of integrability in string theory. We construct various circular string solutions in the $(AdS_3…

High Energy Physics - Theory · Physics 2016-10-12 Aritra Banerjee , Kamal L. Panigrahi

We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest…

High Energy Physics - Theory · Physics 2009-04-03 Per Kraus , Finn Larsen , Akhil Shah

Renormalization group evolution of QCD composite light-cone operators, built from two and more quark and gluon fields, is responsible for the logarithmic scaling violations in diverse physical observables. We analyze spectra of anomalous…

High Energy Physics - Theory · Physics 2011-08-17 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky

We study the topologically twisted string theory on the general back-ground $AdS_3\times {\cal N}$ which is compatible with the world-sheet N=2 superconformal symmetry and is extensively discussed in the recent works (hep-th/9904024,…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Sugawara

We consider a rotating quark-antiquark $(q\bar{q})$ pair in $\mathcal{N}=4$ thermal plasma. By using AdS/CFT correspondence, the properties of this system have been investigated. We study variation of rotating string radius at the boundary…

High Energy Physics - Theory · Physics 2011-02-18 M. Ali-Akbari , K. Bitaghsir Fadafan

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 consider the conformally invariant cubic wave equation on the Einstein cylinder $\mathbb{R} \times \mathbb{S}^3$ for small rotationally symmetric initial data. This simple equation captures many key challenges of nonlinear wave dynamics…

Analysis of PDEs · Mathematics 2017-05-22 Piotr Bizoń , Ben Craps , Oleg Evnin , Dominika Hunik , Vincent Luyten , Maciej Maliborski

$AdS_3$ string theory in the stringy regime $k=(R_{AdS}/\ell_{str})^2 < 1$ provides a laboratory for the study of holography in which both sides of AdS/CFT duality are under fairly good control. Worldsheet string theory is solvable, and for…

High Energy Physics - Theory · Physics 2022-06-22 Emil J. Martinec

We initiate the computation of the 2-loop quantum AdS_5 x S^5 string corrections on the example of a certain string configuration in S^5 related by an analytic continuation to a folded rotating string in AdS_5 in the ``long string'' limit.…

High Energy Physics - Theory · Physics 2009-09-17 R. Roiban , A. Tirziu , A. A. Tseytlin

We consider strings living in $AdS_3\times S^3\times S^3\times S^1$ with nonzero $B$-field. By using specific ansatz for the string embedding, we obtain a class of solutions corresponding to strings moving in the whole ten dimensional…

High Energy Physics - Theory · Physics 2017-01-12 Plamen Bozhilov

Motivated by recent progress on the correspondence between string theory on anti-de Sitter space and conformal field theory, we address the question of constructing space-time N extended superconformal algebras on the boundary of AdS_3.…

High Energy Physics - Theory · Physics 2014-11-18 Jorgen Rasmussen

We show that for a certain low frequency limit the wave equation of a generic massive scalar field in the background of the spacelike warped AdS_3 black hole can be written as the Casimir of an SL(2,R) symmetry. Two sets of SL(2,R)…

High Energy Physics - Theory · Physics 2014-11-21 Reza Fareghbal