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We study a model for nonperturbative unitarization of the four-point contact scalar amplitude in four dimensions. It is defined through an infinite sum of planar diagrams, constructed using two-particle unitarity and crossing symmetry. We…

High Energy Physics - Theory · Physics 2026-01-30 Mehmet Asim Gumus , Damien Leflot , Piotr Tourkine , Alexander Zhiboedov

The type IIB supergravity AdS_3 x S^3 x T^4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to…

High Energy Physics - Theory · Physics 2015-06-15 B. Hoare , A. A. Tseytlin

By converting the Asymptotic Bethe Ansatz (ABA) of ${\cal N}=4$ SYM into non-linear integral equations, we find 2D scattering amplitudes of excitations on top of the GKP vacuum. We prove that this is a suitable and powerful set-up for the…

High Energy Physics - Theory · Physics 2015-06-16 Davide Fioravanti , Simone Piscaglia , Marco Rossi

We investigate the scattering theory of two particles in a generic $D$-dimensional space. For the s-wave problem, by adopting an on-shell approximation for the $T$-matrix equation, we derive analytical formulas which connect the Fourier…

Quantum Gases · Physics 2023-03-31 F. Lorenzi , A. Bardin , L. Salasnich

We use on-shell methods to study the non-supersymmetric and supersymmetric low-energy S-matrix on a probe D3-brane, including both the 1-loop contributions of massless states as well as the effects of higher-derivative operators. Our…

High Energy Physics - Theory · Physics 2021-05-05 Henriette Elvang , Marios Hadjiantonis , Callum R. T. Jones , Shruti Paranjape

We carry out a bootstrap study of four-point correlators in 4d $\mathcal{N}=2$ SCFTs which are dual to super Yang-Mills on $AdS_5\times S^3$. We focus on the simplest $\frac{1}{2}$-BPS operators which correspond to the super gluons in the…

High Energy Physics - Theory · Physics 2023-07-26 Zhongjie Huang , Bo Wang , Ellis Ye Yuan , Xinan Zhou

We compute the one-loop worldsheet S-matrix for the superstring in AdS(3) x S(3) x T(4) supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from…

High Energy Physics - Theory · Physics 2015-06-23 Per Sundin , Linus Wulff

We compute the tree level 4-particle bosonic scattering amplitudes in D=11 supergravity. By construction, they are part of a linearized supersymmetry-, coordinate- and 3-form gauge-invariant. While this on-shell invariant is nonlocal,…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , D. Seminara

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

High Energy Physics - Theory · Physics 2011-08-02 I. Y. Park

We analyze one loop scattering amplitudes of the massless states on a stack of D3-branes. We use the vertex operators that have been obtained in the direct open string analysis developed in arXiv:0708.3452. The method does not have the…

High Energy Physics - Theory · Physics 2009-11-05 I. Y. Park

S and U-duality dictate that graviton scattering amplitudes in IIB superstring theory be automorphic functions on the appropriate fundamental domain which describe the inequivalent vacua of (compactified) theories. A constrained functional…

High Energy Physics - Theory · Physics 2010-11-19 Gordon Chalmers

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

We quantize the superstring on the AdS_2 x S^2 background with Ramond-Ramond flux using a PSU(1,1|2)/U(1) x U(1) sigma model with a WZ term. One-loop conformal invariance of the model is guaranteed by a general mechanism which holds for…

High Energy Physics - Theory · Physics 2015-06-26 N. Berkovits , M. Bershadsky , T. Hauer , S. Zhukov , B. Zwiebach

It is proved that a basic superembedding equation for the 2-dimensional worldsheet superspace $\S^{(2|8+8)}$ embedded into D=10 type IIB superspace $M^{(10|16+16)}$ provides a universal, S-duality invariant description of a fundamental…

High Energy Physics - Theory · Physics 2008-11-26 Igor Bandos

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 show that type 0B theory has a classical AdS_5 x S^5 solution and argue that it is stable at the string-theory level for small enough radius. The dual 4-d conformal field theory is the infrared limit of the theory on N electric D3-branes…

High Energy Physics - Theory · Physics 2009-10-31 I. R. Klebanov , A. A. Tseytlin

Conventional superstring amplitudes in flat space exhibits exponential fall off at wide angle in contrast to the power law behavior found in QCD. It has recently been argued by Polchinski and Strassler that this conflict can be resolved via…

High Energy Physics - Theory · Physics 2009-11-07 R. C. Brower , C-I Tan

Based on the recent developments of explicit computations at 2 loops in superstring theory in the covariant RNS formalism, we propose an explicit formula for the arbitrary loop 4-particle amplitude in superstring theory. We prove that this…

High Energy Physics - Theory · Physics 2007-05-23 Chuan-Jie Zhu

Explicit expressions for one-loop five supergraviton scattering amplitudes in both type II superstring theories are determined by making use of the pure spinor formalism. The type IIB amplitude can be expressed in terms of a doubling of…

High Energy Physics - Theory · Physics 2015-06-16 Michael B. Green , Carlos R. Mafra , Oliver Schlotterer

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