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Related papers: Integrable achiral D5-brane reflections and asympt…

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We obtain the reflection matrices for the scattering of elementary magnons from certain open boundaries, corresponding to open strings ending on D7 and D5 branes in $AdS_5\times S^5$. In each case we consider two possible orientations for…

High Energy Physics - Theory · Physics 2011-05-24 D. H. Correa , C. A. S. Young

We study the worldsheet reflection matrix of a string attached to a D-brane in $AdS_5 \times S^5$. The D-brane corresponds to a maximal giant graviton and it wraps an $S^3$ inside $S^5$. In the gauge theory, the open string is described by…

High Energy Physics - Theory · Physics 2009-11-18 Diego M. Hofman , Juan Maldacena

We derive the Bethe Ansatz Equations on the half line for particles interacting through factorized $S$-matrices invariant relative to the centrally extended $su(2|2)$ Lie superalgebra and $su(1|2)$ open boundaries. These equations may be of…

High Energy Physics - Theory · Physics 2009-08-03 W. Galleas

We consider integrable field theories with achiral boundary conditions and uncover the underlying achiral twisted Yangian algebra. This construction arises from old work on the bosonic principal chiral model on a half-line, but finds a…

High Energy Physics - Theory · Physics 2011-08-30 Niall MacKay , Vidas Regelskis

The reflection matrices of multi magnon bound states are obtained explicitely by exploiting the Yangian symmetry of boundary scattering on the Y=0 maximal giant graviton brane.

High Energy Physics - Theory · Physics 2011-03-31 Laszlo Palla

We find new twisted Yangian symmetries of the AdS/CFT reflection matrices for the Y=0 maximal giant graviton and D5-brane. These new symmetries originate from the known secret symmetries of the Yangian symmetry of the AdS/CFT S-matrix.

High Energy Physics - Theory · Physics 2011-08-30 Vidas Regelskis

We consider the worldsheet boundary scattering and the corresponding boundary algebras for the Z=0 giant graviton and the Z=0 D7-brane in the AdS/CFT correspondence. We consider two approaches to the boundary scattering, the usual one…

High Energy Physics - Theory · Physics 2015-06-05 Marius de Leeuw , Vidas Regelskis

We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x…

High Energy Physics - Theory · Physics 2015-12-18 Andrea Prinsloo , Vidas Regelskis , Alessandro Torrielli

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 study various configurations of rotating and wound D1-brane in AdS_5\times S^5 background and in its beta deformed version. We find giant magnon and spike solutions on the world-volume of D1-brane in AdS_5\times S^5 background. We also…

High Energy Physics - Theory · Physics 2008-11-26 J. Kluson , Kamal L. Panigrahi

We study the large N limit of matrix models of M5-branes, or (2,0) six-dimensional superconformal field theories, by making use of the Bulk/Boundary correspondence. Our emphasis is on the relation between the near-horizon limit of branes…

High Energy Physics - Theory · Physics 2008-11-26 Hidetoshi Awata , Shinji Hirano

We solve, by means of a nested coordinate Bethe ansatz, the open-boundaries scattering theory describing the excitations of a free open string propagating in $AdS_5\times S^5$, carrying large angular momentum $J=J_{56}$, and ending on a…

High Energy Physics - Theory · Physics 2010-05-12 D. H. Correa , C. A. S. Young

Extending previous work on $a_2^{(1)}$, we present a set of reflection matrices, which are explicit solutions to the $a_n^{(1)}$ boundary Yang-Baxter equation. Unlike solutions found previously these are multiplet-changing $K$-matrices, and…

High Energy Physics - Theory · Physics 2007-05-23 G. M. Gandenberger

In N=4 super Yang-Mills spin chain, we compute reflection amplitudes of magnon bound-state off giant graviton. We first compute the reflection amplitude off Y=0 brane boundary and compare it with the scattering amplitude between two magnon…

High Energy Physics - Theory · Physics 2008-11-26 Changrim Ahn , Dongsu Bak , Soo-Jong Rey

Connections between set-theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set-theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and…

Mathematical Physics · Physics 2021-08-10 Anastasia Doikou , Agata Smoktunowicz

Quantum affine reflection algebras are coideal subalgebras of quantum affine algebras that lead to trigonometric reflection matrices (solutions of the boundary Yang-Baxter equation). In this paper we use the quantum affine reflection…

Quantum Algebra · Mathematics 2007-09-11 Gustav W. Delius , Alan George

Integrable boundary states can be built up from pair annihilation amplitudes called $K$-matrices. These amplitudes are related to mirror reflections and they both satisfy Yang Baxter equations, which can be twisted or untwisted. We relate…

High Energy Physics - Theory · Physics 2020-12-02 Tamas Gombor , Zoltan Bajnok

We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y=0 giant graviton in the AdS/CFT correspondence. We show that the recently constructed quantum…

Mathematical Physics · Physics 2015-05-30 Marius de Leeuw , Takuya Matsumoto , Vidas Regelskis

We compute the strong coupling limit of the boundary reflection factor for excitations on open strings attached to various kinds of D5-branes that probe AdS5 x S5. We study the crossing equation, which constrains the boundary reflection…

High Energy Physics - Theory · Physics 2013-05-24 Diego H. Correa , Fidel I. Schaposnik Massolo

We present the `Heisenberg picture' of the reflection algebra by explicitly constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends on a boundary with non-trivial degrees of freedom and which preserves the full bulk…

High Energy Physics - Theory · Physics 2014-01-10 Niall MacKay , Vidas Regelskis
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