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A set of four factorizable non-relativistic S-matrices for a multiplet of fundamental particles are defined based on the R-matrix of the quantum group deformation of the centrally extended superalgebra su(2|2). The S-matrices are a function…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We construct a relativistic scattering theory based on a q deformation and large string tension limit of the magnon S-matrix of the string world sheet theory in AdS_5 x S^5. The S-matrix falls naturally into a previously studied class…

High Energy Physics - Theory · Physics 2012-01-18 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 x S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state…

High Energy Physics - Theory · Physics 2011-08-25 Gleb Arutyunov , Marius de Leeuw , Alessandro Torrielli

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

The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by…

High Energy Physics - Theory · Physics 2009-06-10 Gleb Arutyunov , Sergey Frolov

We investigate the reflection of two-particle bound states of a free open string in the light-cone AdS_5 x S^5 string sigma model, for large angular momentum J=J_56 and ending on a D7 brane which wraps the entire AdS_5 and a maximal S^3 of…

High Energy Physics - Theory · Physics 2014-11-21 Niall MacKay , Vidas Regelskis

We consider the exact S-matrix governing the planar spectral problem for strings on $AdS_5\times S^5$ and $\mathcal N=4$ super Yang-Mills, and we show that it is invariant under a novel "boost" symmetry, which acts as a differentiation with…

High Energy Physics - Theory · Physics 2018-03-14 Riccardo Borsato , Alessandro Torrielli

The analogues of giant magnon configurations are studied on the string world sheet in the lambda background. This is a discrete deformation of the AdS(5)xS(5) background that preserves the integrability of the world sheet theory. Giant…

High Energy Physics - Theory · Physics 2017-09-13 Calan Appadu , Timothy J. Hollowood , J. Luis Miramontes , Dafydd Price , David M. Schmidtt

The S-matrix on the world-sheet theory of the string in AdS5 x S5 has previously been shown to admit a deformation where the symmetry algebra is replaced by the associated quantum group. The case where q is real has been identified as a…

High Energy Physics - Theory · Physics 2015-06-22 Timothy J. Hollowood , J. Luis Miramontes , David M. Schmidtt

With a motivation to find a 2-d Lorentz-invariant solution of the AdS_5 x S^5 superstring we continue the study of the Pohlmeyer-reduced form of this theory. The reduced theory is constructed from currents of the superstring sigma model and…

High Energy Physics - Theory · Physics 2010-05-12 B. Hoare , A. A. Tseytlin

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine the S-matrix describing the scattering of arbitrary bound…

Mathematical Physics · Physics 2012-04-20 Marius de Leeuw , Takuya Matsumoto , Vidas Regelskis

Using information from the marginality conditions of vertex operators for the AdS_5 x S^5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension…

High Energy Physics - Theory · Physics 2013-05-30 M. Beccaria , S. Giombi , G. Macorini , R. Roiban , A. A. Tseytlin

We compute Luscher corrections for a giant magnon in the \eta-deformed (AdS_5\times S^5)_{\eta} using the su(2|2)_q-invariant S-matrix at strong coupling and compare with the finite-size effect of the corresponding string state, derived…

High Energy Physics - Theory · Physics 2017-02-01 Changrim Ahn

We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large…

High Energy Physics - Theory · Physics 2015-08-28 Gleb Arutyunov , Riccardo Borsato , Sergey Frolov

Rotating IIB strings in AdS_5 x S^5 become ultra-relativistic, and hence effectively tensionless, in the limit of large angular momentum on S^5. We have shown previously that such tensionless strings may preserve supersymmetry. Here we…

High Energy Physics - Theory · Physics 2017-08-23 David Mateos , Toni Mateos , Paul K. Townsend

We discuss a quantum deformation of the Green-Schwarz superstring on flat space, arising as a contraction limit of the corresponding deformation of AdS_5 x S^5. This contraction limit turns out to be equivalent to a previously studied limit…

High Energy Physics - Theory · Physics 2016-01-26 Anna Pachol , Stijn J. van Tongeren

In this article we review the world-sheet scattering theory of strings on AdS 5 x S5. The asymptotic spectrum of this world-sheet theory contains both fundamental particles and bound states of the latter. We explicitly derive the S-matrix…

High Energy Physics - Theory · Physics 2010-07-29 Marius de Leeuw

String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories on the boundary. Recent proposals for rotating string solitons reproduce the spectrum for anomalous dimensions of Wilson operators for the boundary theory. There…

High Energy Physics - Theory · Physics 2009-11-07 Minos Axenides , Emmanuel Floratos , Alex Kehagias

We find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra on the space of…

High Energy Physics - Theory · Physics 2008-11-26 Gleb Arutyunov , Sergey Frolov

The GS superstring on AdS_5 x S^5 has a nonlinearly realized, spontaneously broken SU(2,2|4) symmetry. Here we introduce a two-dimensional model in which the unbroken SU(2,2|4) symmetry is linearly realized. The basic variables are…

High Energy Physics - Theory · Physics 2011-02-09 Piet Claus , Murat Gunaydin , Renata Kallosh , J. Rahmfeld , Yonatan Zunger
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