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We explore integrability properties of superstring equations of motion in AdS_5 x S^5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding Hamiltonian dynamics on…

High Energy Physics - Theory · Physics 2009-11-11 L. F. Alday , G. Arutyunov , A. A. Tseytlin

We compare large $N$ expansion of the localization result for the free energy $F$ in the 3d $\mathcal{N}=6$ superconformal $U(N)_k \times U(N)_{-k}$ Chern-Simons-matter theory to its AdS/CFT counterpart, i.e. to the perturbative expansion…

High Energy Physics - Theory · Physics 2023-08-09 Matteo Beccaria , Arkady A. Tseytlin

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

In this Letter, we explore nonrelativistic string solutions in various subsectors of the $ SU(1,2|3) $ SMT strings that correspond to different spin groups and satisfy the respective BPS bounds. In particular, we carry out an explicit…

High Energy Physics - Theory · Physics 2021-07-14 Dibakar Roychowdhury

Recently, an asymptotic Bethe Ansatz that is claimed to describe anomalous dimensions of "long" operators in the planar N=6 supersymmetric three-dimensional Chern-Simons-matter theory dual to quantum superstrings in AdS_4 x CP^3 was…

High Energy Physics - Theory · Physics 2009-09-17 Tristan McLoughlin , Radu Roiban , Arkady A. Tseytlin

The present Letter derives multispin nonrelativistic magnon spectrum considering various near BPS corners within $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings on $ AdS_5 \times S^5 $. In particular, we focus on some typical…

High Energy Physics - Theory · Physics 2021-05-26 Dibakar Roychowdhury

We study some aspects of Maldacena's large $N$ correspondence between N=4 superconformal gauge theory on D3-brane and maximal supergravity on AdS_5xS_5 by introducing macroscopic strings as heavy (anti)-quark probes. The macroscopic strings…

High Energy Physics - Theory · Physics 2011-09-13 Soo-Jong Rey , Jung-Tay Yee

We use a Pohlmeyer type reduction to generate classical string solutions in AdS spacetime. In this framework we describe a correspondence between spikes in AdS_3 and soliton profiles of the sinh-Gordon equation. The null cusp string…

High Energy Physics - Theory · Physics 2008-11-26 Antal Jevicki , Kewang Jin , Chrysostomos Kalousios , Anastasia Volovich

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_4 x CP^3, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2011-03-22 D. Arnaudov , R. C. Rashkov

We study the large N limit of SO(N) and Sp(N) Chern-Simons gauge theory on S^3 and identify its closed string dual as topological strings on an orientifold of the small resolution of the conifold. Applications to large N dualities for N=1…

High Energy Physics - Theory · Physics 2007-05-23 S. Sinha , C. Vafa

We study superstrings on AdS_3 x S^3 x T^4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and construct a set of finite-gap equations that describe the classical string spectrum. Using the…

High Energy Physics - Theory · Physics 2015-06-19 Andrei Babichenko , Amit Dekel , Olof Ohlsson Sax

In this article, we describe giant gravitons in AdS_5 x S^5 moving along generic trajectories in AdS_5. The giant graviton dynamics is solved by proving that the D3-brane effective action reduces to that of a massive point particle in AdS_5…

High Energy Physics - Theory · Physics 2009-11-10 Marco M. Caldarelli , Pedro J. Silva

We address the novel structures arising in quantum and string integrable theories, as well as construct methods to obtain them and provide further analysis. Specifically, we implement the automorphic symmetries on periodic lattice systems…

High Energy Physics - Theory · Physics 2022-11-01 Anton Pribytok

We perform a detailed study of bosonic type IIA string theory in a large light-cone momentum / near plane wave limit of $AdS_4 \times CP_3$. In order to attain this we derive the Hamiltonian up to cubic and quartic order in number of fields…

High Energy Physics - Theory · Physics 2011-03-02 Per Sundin

We introduce a class of rotating magnetically charged string solutions of the Einstein gravity with a nonlinear electrodynamics source in four dimensions. The present solutions has no curvature singularity and no horizons but has a conic…

High Energy Physics - Theory · Physics 2014-11-21 S. H. Hendi

We apply a physical principle, previously used to eliminate ambiguities in quantum corrections to the 2 dimensional kink, to the case of spinning strings moving in $AdS_4\times \mathbb{CP}^3$, thought of as another kind of two dimensional…

High Energy Physics - Theory · Physics 2015-06-04 Cristhiam Lopez-Arcos , Horatiu Nastase

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. The anomalous dimensions computed in the gauge theory are in complete quantitative agreement with…

High Energy Physics - Theory · Physics 2016-04-20 Robert de Mello Koch , Nirina Hasina Tahiridimbisoa , Christopher Mathwin

We discuss classical closed string solutions in non-relativistic two-sphere target spaces. These classes of solutions closely relate to the GKP-type, spinning and pulsating strings for the relativistic case. We derive the string dynamics in…

High Energy Physics - Theory · Physics 2025-05-06 Aritra Banerjee , Adrita Chakraborty , Nibedita Padhi

In this paper we study the Neumann system, which describes the harmonic oscillator (of arbitrary dimension) constrained to the sphere. In particular we will consider the confluent case where two eigenvalues of the potential coincide, which…

Mathematical Physics · Physics 2012-02-15 Martin Vuk

We calculate the finite size correction on the three-point correlation function between two giant magnons and one marginal operator. We also check that the structure constant in the string set-up is exactly the same as one of the RG…

High Energy Physics - Theory · Physics 2013-05-29 Bum-Hoon Lee , Chanyong Park