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We study the boundary S-matrix for the reflection of bound states of the two-dimensional sine-Gordon integrable field theory in the presence of a boundary.

高能物理 - 理论 · 物理学 2010-01-07 Subir Ghoshal

We review recent progress in the understanding of symmetries for scattering amplitudes in N=4 superconformal Yang-Mills theory. It is summarized how the superficial breaking of superconformal symmetry by collinear anomalies and the…

高能物理 - 理论 · 物理学 2015-03-19 Till Bargheer , Niklas Beisert , Florian Loebbert

We study the conjectured exact S-matrix for the scattering of BPS magnon boundstates in the spin-chain description of planar N=4 SUSY Yang-Mills. The conjectured S-matrix exhibits both simple and double poles at complex momenta. Some of…

高能物理 - 理论 · 物理学 2009-12-15 Nick Dorey , Keisuke Okamura

By solving the right reflection equation proposed in reference[16] to describe the Z=0 giant graviton branes, we obtain a boundary matrix with two free parameters for the AdS/CFT SU(1|1) spin chain.

高能物理 - 理论 · 物理学 2009-12-15 Qingyong Lin , Guangliang Li , Yufei Huang

We derive an integrable reflection matrix for the scattering of excitations from a boundary with a degree of freedom when the reflection process preserves an $SU(1|2)$ symmetry. As this residual symmetry is not sufficient to fully determine…

高能物理 - 理论 · 物理学 2026-02-11 Diego H. Correa , Maximiliano G. Ferro , Victor I. Giraldo-Rivera , Nicolas A. Ivanovich

We introduce the notion of branon jets, states of collinear flux tube excitations. We argue for the analyticity, crossing and unitarity of the multi-particle scattering of these jets and, through the S-matrix bootstrap, place bounds on a…

高能物理 - 理论 · 物理学 2024-04-18 Andrea Guerrieri , Alexandre Homrich , Pedro Vieira

Using a recently proposed solution for an open antiferromagnetic spin-1/2 XXZ quantum spin chain with N (even) spins and two arbitrary boundary parameters at roots of unity, we compute the boundary scattering amplitudes for one-hole states.…

高能物理 - 理论 · 物理学 2008-11-26 Rajan Murgan

We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the…

高能物理 - 理论 · 物理学 2009-10-22 Subir Ghoshal , Alexander Zamolodchikov

We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in \cite{KPV} together with explicit moduli. Relating the…

高能物理 - 理论 · 物理学 2011-01-27 A. Ciavarella

We examine the symmetry breaking of super algebras due to the presence of appropriate integrable boundary conditions. We investigate the boundary breaking symmetry associated to both reflection algebras and twisted super Yangians. We…

数学物理 · 物理学 2013-07-09 Anastasia Doikou

We consider an open string stretched between a Y=0 brane and a Y_theta=0 brane. The latter brane is rotated with respect to the former by an angle theta, and is described by a non-diagonal boundary S-matrix. This system interpolates…

高能物理 - 理论 · 物理学 2016-03-23 Zoltan Bajnok , Rafael I. Nepomechie

The maximally supersymmetric Yang-Mills theory in four-dimensional Minkowski space is an exceptional model of mathematical physics. Even more so in the planar limit, where the theory is believed to be integrable. In particular, the…

高能物理 - 理论 · 物理学 2018-11-16 Nils Kanning

For a boundary CFT to give a good approximation to the bulk flat-space S-matrix, a number of conditions need to be satisfied: some of those are investigated here. In particular, one would like to identify an appropriate set of approximate…

高能物理 - 理论 · 物理学 2016-09-21 Mirah Gary , Steven B. Giddings

We review unitarity and crossing constraints on scattering amplitudes for particles with spin in four dimensional quantum field theories. As an application we study two to two scattering of neutral spin 1/2 fermions in detail. Assuming…

高能物理 - 理论 · 物理学 2022-03-29 Aditya Hebbar , Denis Karateev , Joao Penedones

It is known that the Yangian of PSU(2,2|4) is a symmetry of the tree-level S-matrix of N=4 super Yang-Mills. On the other hand, the complete one-loop dilatation operator in the same theory commutes with the level-one Yangian generators only…

高能物理 - 理论 · 物理学 2015-10-07 Andreas Brandhuber , Paul Heslop , Gabriele Travaglini , Donovan Young

I study constraints on fundamental physics emerging from consistency of a unitary, local and perturbative $S$-matrix in $4d$. For massless particles, some new constraints arising from consistent complex factorisation of $2\rightarrow 2$…

高能物理 - 理论 · 物理学 2026-05-07 Timothy Trott

A general formulation of the Boundary Quantum Inverse Scattering Method is given which is applicable in cases where $R$-matrix solutions of the Yang--Baxter equation do not have the property of crossing unitarity. Suitably modified forms of…

数学物理 · 物理学 2013-01-03 K. A. Dancer , P. E. Finch , P. S. Isaac , J. Links

Scattering amplitudes in planar N=4 super Yang-Mills theory reveal a remarkable symmetry structure. In addition to the superconformal symmetry of the Lagrangian of the theory, the planar amplitudes exhibit a dual superconformal symmetry.…

高能物理 - 理论 · 物理学 2015-05-20 J. M. Drummond

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. The new formula for the scattering of n particles is given by an integral over the position of n…

高能物理 - 理论 · 物理学 2014-10-29 Freddy Cachazo , Song He , Ellis Ye Yuan

We use boundary quantum group symmetry to obtain recursion formulas which determine nondiagonal solutions of the boundary Yang-Baxter equation (reflection equation) of the XXZ type for any spin j.

高能物理 - 理论 · 物理学 2009-11-07 G. W. Delius , Rafael I. Nepomechie