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We show that solitonic solutions of the classical string action on the AdS_5 x S^5 background that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be classified in terms of periodic solutions of the Neumann…

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

We consider classical superstrings propagating on AdS_5 x S^5 space-time. We consistently truncate the superstring equations of motion to the so-called su(1|1) sector. By fixing the uniform gauge we show that physical excitations in this…

High Energy Physics - Theory · Physics 2009-11-11 L. F. Alday , G. Arutyunov , S. Frolov

An integrable deformation of the well-known Neumann-Rosochatius system is studied by considering generalised bosonic spinning solutions on the eta-deformed AdS_5 x S^5 background. For this integrable model we construct a 4x4 Lax…

High Energy Physics - Theory · Physics 2017-03-07 Gleb Arutyunov , Martin Heinze , Daniel Medina-Rincon

Using the Polchinski-Strominger effective string theory in covariant gauge, we compute the mass of a rotating string in D dimensions with large angular momenta J, in one or two planes, in fixed ratio, up to and including first subleading…

High Energy Physics - Theory · Physics 2015-03-25 Simeon Hellerman , Ian Swanson

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

We present a detailed study of the pulsating string solutions in AdS3 x S3 supported by both RR and NS-NS fluxes. This background has recently been proved to be integrable. We find the dispersion relation between the energy, oscillation…

High Energy Physics - Theory · Physics 2016-01-20 Aritra Banerjee , Kamal L. Panigrahi , Manoranjan Samal

We discuss semiclassical quantization of circular pulsating strings in AdS3 x S3 background with and without the Neveu-Schwarz- Neveu-Schwarz (NS-NS) flux. We find the equations of motion corresponding to the quadratic action in bosonic…

High Energy Physics - Theory · Physics 2018-10-23 Sorna Prava Barik , Kamal L. Panigrahi , Manoranjan Samal

We derive the energy of pulsating strings as a function of adiabatic invariant oscillation number, which oscillates in $S^2_{\varkappa}$. We find similar solutions for the strings oscillating in deformed $AdS_3$. Furthermore, we generalize…

High Energy Physics - Theory · Physics 2015-08-27 Kamal L. Panigrahi , Pabitra M. Pradhan , Manoranjan Samal

The closed string carrying $n$ point-like masses is considered as the model of a baryon ($n=3$), a glueball ($n=2$ or 3) or another exotic hadron. For this system the rotational states are obtained and classified. They correspond to exact…

High Energy Physics - Phenomenology · Physics 2007-12-27 G. S. Sharov

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking…

High Energy Physics - Theory · Physics 2020-11-03 John C. Donahue , Sergei Dubovsky

We show that the (torsional) nonrelativistic string sigma models on $ R\times S^2 $ can be mapped into \emph{deformed} Rosochatius like integrable models in one dimension. We also explore the associated Hamiltonian constrained structure by…

High Energy Physics - Theory · Physics 2020-10-21 Dibakar Roychowdhury

We study the class of pulsating strings on $AdS_5\times T^{1,1}$. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasi-classically quantize the theory and obtain the first…

High Energy Physics - Theory · Physics 2010-07-06 D. Arnaudov , H. Dimov , R. C. Rashkov

The present paper studies a completely integrable conformally invariant model in 1+1 dimensions that corresponds to string propagation on the two-dimensional black hole background (semi-ininite cigar). Besides the two space-time string…

High Energy Physics - Theory · Physics 2009-10-22 Adel Bilal

The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where…

High Energy Physics - Theory · Physics 2010-11-01 S. Chaudhuri , H. Itoyama , T. Ooshita

It is shown that the Ablowitz-Kaup-Newell-Segur (AKNS) integrable hierarchy can be obtained as the dynamical equations of three-dimensional General Relativity with a negative cosmological constant. This geometrization of the AKNS system is…

High Energy Physics - Theory · Physics 2021-10-15 Marcela Cárdenas , Francisco Correa , Kristiansen Lara , Miguel Pino

We study general rotating string solution in the AdS(4) X CP**3 background with a B_NS holonomy turned on over ${\bf CP}^1$ $\subset $ $ {\bf CP}^3$. We find the giant magnon and single spike solutions for the string moving in this…

High Energy Physics - Theory · Physics 2009-02-05 Sachin Jain , Kamal L. Panigrahi

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 consider Penrose limits of the Klebanov-Strassler and Maldacena-Nunez holographic duals to N =1 supersymmetric Yang-Mills. By focusing in on the IR region we obtain exactly solvable string theory models. These represent the…

High Energy Physics - Theory · Physics 2009-11-07 Eric G. Gimon , Leopoldo A. Pando Zayas , Jacob Sonnenschein , Matthew J. Strassler

In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We…

High Energy Physics - Theory · Physics 2022-07-27 Henry Maxfield , Zhencheng Wang

We show that bosonic spinning strings on the \eta-deformed AdS_5 x S^5 background are naturally described as periodic solutions of a novel finite-dimensional integrable system which can be viewed as a deformation of the celebrated Neumann…

High Energy Physics - Theory · Physics 2016-09-09 Gleb Arutyunov , Daniel Medina-Rincon