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Related papers: Boundary scattering in massless $AdS_3$

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We analyze the spectrum of perturbative closed strings on AdS3 x S3 x T4 with Ramond-Ramond flux using integrable methods. By solving the crossing equations we determine the massless and mixed-mass dressing factors of the worldsheet S…

High Energy Physics - Theory · Physics 2016-10-12 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

We start a systematic study of string theory in AdS_3 black hole backgrounds. Firstly, we analyse in detail the geodesic structure of the BTZ black hole, including spacelike geodesics. Secondly, we study the spectrum for massive and…

High Energy Physics - Theory · Physics 2009-11-07 Jan Troost

We use relativistic invariance to investigate two aspects of integrable AdS${}_3$ string theory. Firstly, we write down the all-loop TBA equations for the massless sector of the theory with R-R flux, using the recently discovered hidden…

High Energy Physics - Theory · Physics 2019-09-04 Andrea Fontanella , Olof Ohlsson Sax , Bogdan Stefański , jr. , Alessandro Torrielli

Line defects and scattering amplitudes have proven to be fruitful objects of study in the context of holographic dualities. They serve as valuable theoretical laboratories for the development of non-perturbative methods and have provided…

High Energy Physics - Theory · Physics 2025-09-18 Martín Lagares

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera

A free boson on a lattice is the simplest field theory one can think of. Its partition function can be easily computed in momentum space. However, this straightforward solution hides its integrability properties. Here, we use the methods of…

Statistical Mechanics · Physics 2021-02-03 Manuel Campos , German Sierra , Esperanza Lopez

In this note, we comment on the path integral formulation of string theory on $\mathcal{M}\times\text{S}^3\times\mathbb{T}^4$ where $\mathcal{M}$ is any hyperbolic 3-manifold. In the special case of $k=1$ NS-NS flux, we provide a covariant…

High Energy Physics - Theory · Physics 2024-05-01 Bob Knighton

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 near boundary limit of string theory in AdS_3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are…

High Energy Physics - Theory · Physics 2009-10-31 Gaston Giribet , Carmen Nunez

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 present a simple solution to the crossing equation for an open string worldsheet reflection matrix, with boundaries preserving a SU(1|2)^2 residual symmetry, which constrains the boundary dressing factor. In addition, we also propose an…

High Energy Physics - Theory · Physics 2008-11-26 Heng-Yu Chen , Diego H. Correa

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

In this paper we introduce a method for solving linear and nonlinear scattering problems for wave equations using a new hybrid approach. This new approach consists of a reformulation of the governing equations into a form that can be solved…

Numerical Analysis · Mathematics 2018-07-04 Aihua Lin , Anastasiia Kuzmina , Per Kristen Jakobsen

We propose the dressing factors for the scattering of massive particles on the worldsheet of mixed-flux $AdS_3\times S^3\times T^4$ superstrings, in the string and mirror kinematics. The proposal passes all self-consistency checks in the…

High Energy Physics - Theory · Physics 2025-03-04 Sergey Frolov , Davide Polvara , Alessandro Sfondrini

We propose explicit expressions for the boundary reflection matrices of the ${\cal A}_m+(r,s)$ series of massive scattering theories, obtained by perturbing the ${\cal A}_m$ unitary minimal models with $(r,s)$ boundary conditions with both…

High Energy Physics - Theory · Physics 2025-12-25 Zoltan Bajnok , Rafael I. Nepomechie , Paul A. Pearce

A noteworthy feature of the S-matrix which has been proposed for AdS4/CFT3 is that the scattering of an A-particle ("soliton") with a B-particle ("antisoliton") is reflectionless. We argue, following Zamolodchikov, that the absence of…

High Energy Physics - Theory · Physics 2015-05-14 Changrim Ahn , Patrick Dorey , Rafael I. Nepomechie

Field theory in space-time with boundary has an interesting sub-sector, where propagator is difference of those with Neumann and Dirichlet boundary conditions. Such boundary-induced theory in the bulk is essentially holomorphic and is…

High Energy Physics - Theory · Physics 2010-02-03 D. Krotov , A. Morozov

An approach to scattering theory in three dimensional AdS spaces is proposed. Firstly we consider the scattering of spinless relativistic particles by a three dimensional extremal black hole and compute the absorption cross section…

High Energy Physics - Theory · Physics 2008-11-26 J. Gamboa , F. Mendez

We study the recently discovered q-deformed Poincare' supersymmetry of the AdS_3/CFT_2 integrable massless scattering, and demonstrate how the S-matrix is invariant under boosts. The boost generator has a non-local coproduct, which acts on…

High Energy Physics - Theory · Physics 2016-09-28 Andrea Fontanella , Alessandro Torrielli