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In this note we study worldsheet two- and four-point functions at the one-loop level for the type IIA superstring in AdS(3) x S(3) x M(4) . We first address the regularization ambiguity that appears in the dispersion relation derived from…

High Energy Physics - Theory · Physics 2015-06-19 Per Sundin

Very recently in arXiv:0705.0303 Alday and Maldacena gave a string theory prescription for computing (all) planar amplitudes in N=4 supersymmetric gauge theory at strong coupling using the AdS/CFT correspondence. These amplitudes are…

High Energy Physics - Theory · Physics 2008-11-26 Steven Abel , Stefan Forste , Valentin V. Khoze

We investigate the scattering matrix in mass-deformed N>=4 Chern-Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is…

High Energy Physics - Theory · Physics 2009-06-19 Abhishek Agarwal , Niklas Beisert , Tristan McLoughlin

The scattering equations give striking formulae for massless scattering amplitudes at tree level and, as shown recently, at one loop. The progress at loop level was based on ambitwistor string theory, which naturally yields the scattering…

High Energy Physics - Theory · Physics 2017-01-04 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

In this paper, we explore the open string amplitude's dual role as a space-time S-matrix and a 1D CFT correlation function. We pursue this correspondence in two directions. First, beginning with a general disk integrand dressed with a…

High Energy Physics - Theory · Physics 2021-05-05 Yu-tin Huang , Jin-Yu Liu , Laurentiu Rodina , Yihong Wang

As a step toward deeper understanding of the AdS/CFT correspondence, exact quantization of a Brink-Schwarz superparticle in the AdS_5 x S^5 background with Ramond-Ramond (RR) flux is performed from the first principle in the phase space…

High Energy Physics - Theory · Physics 2010-04-23 Tetsuo Horigane , Yoichi Kazama

We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial…

High Energy Physics - Theory · Physics 2008-11-26 Luis F. Alday

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

In this paper, we study the newly discovered universal splitting behavior for tree-level scattering amplitudes of particles and strings~\cite{Cao:2024gln}: when a set of Mandelstam variables (and Lorentz products involving polarizations for…

High Energy Physics - Theory · Physics 2025-01-15 Qu Cao , Jin Dong , Song He , Canxin Shi , Fanky Zhu

We calculate on-shell scattering amplitudes involving fermions at the tree level in open superstring field theory. We confirm that four-point and five-point amplitudes in the world-sheet path integral with the standard prescription using…

High Energy Physics - Theory · Physics 2016-12-05 Hiroshi Kunitomo , Yuji Okawa , Hiroki Sukeno , Tomoyuki Takezaki

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

Superstring theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with the smallest amount of NS-NS flux (`$k=1$') is shown to be dual to the spacetime CFT given by the large $N$ limit of the free symmetric product orbifold…

High Energy Physics - Theory · Physics 2019-05-01 Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

Using the pure spinor formalism, a particular superstring scattering amplitude involving one closed string and $N$ open string vertex operators in $\mathrm{AdS}{}_5 \times \mathrm{S}^5$ is studied. It is shown that the tree-level amplitude…

High Energy Physics - Theory · Physics 2015-06-08 Thales Azevedo , Nathan Berkovits

We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of…

High Energy Physics - Theory · Physics 2015-05-30 Pawel Caputa , Shinji Hirano

Quantum non-local charges are central to the quantum integrability of a sigma-model. In this paper we study the quantum consistency and UV finiteness of non-local charges of string theory in AdS(5)xS(5). We use the pure spinor formalism. We…

High Energy Physics - Theory · Physics 2007-09-18 Andrei Mikhailov , Sakura Schafer-Nameki

Recently two of the authors presented a spinorial extension of the scattering equations, the `polarized scattering equations' that incorporates spinor polarization data. These led to new worldsheet amplitude formulae for a variety of gauge,…

High Energy Physics - Theory · Physics 2020-12-02 Giulia Albonico , Yvonne Geyer , Lionel Mason

We present a general framework connecting global symmetries to the relativistic $S$-matrix through the lens of quantum information theory. Analyzing the 2-to-2 scattering of particles of any helicity, we systematically characterize…

High Energy Physics - Theory · Physics 2025-05-01 Navin McGinnis

We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges,…

High Energy Physics - Theory · Physics 2015-05-28 Thomas Klose , Tristan McLoughlin

We explore the flat limit of massless scalar scattering in $\mathrm{AdS}_2$. We derive the $1 \to 1$ $\mathcal{S}$-matrix from the CFT $2$-point function. We show a key property of the $2 \to 2$ $\mathcal{S}$-matrix in $2d$, where the…

High Energy Physics - Theory · Physics 2024-09-23 Sarthak Duary
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