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Related papers: Longitudinal nonlocality in the string S-matrix

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We study the scattering of long strings in c = 1 string theory, both in the worldsheet description and in the non-singlet sector of the dual matrix quantum mechanics. From the worldsheet perspective, the scattering amplitudes of long…

High Energy Physics - Theory · Physics 2019-02-20 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

High-energy limits of fixed-angle tree-level stringy scattering amplitudes in the light-like linear dilaton background are calculated. Treating the time component of the gradient of light-like dilaton field (V_0) as a moduli parameter, we…

High Energy Physics - Theory · Physics 2009-11-23 Chuan-Tsung Chan , Wei-Ming Chen

We consider scattering amplitudes in string models in the Regge limit of high energies and fixed momentum transfers with the use of the unitarity in direct channels. Intermediate states are taken in the multi-Regge kinematics corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. S. Danilov , L. N. Lipatov

We propose a new method for constructing the consistent space of scattering amplitudes by parameterizing the imaginary parts of partial waves and utilizing dispersion relations, crossing symmetry, and full unitarity. Using this framework,…

High Energy Physics - Theory · Physics 2026-05-21 Claudia de Rham , Andrew J. Tolley , Zhuo-Hui Wang , Shuang-Yong Zhou

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

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

The tree-level amplitudes in $\beta$-deformed theory are studied from twistor string theory. We first show that a simple generalization of the proposal in hep-th/0410122 gives the correct results for all of the tree-level amplitudes to the…

High Energy Physics - Theory · Physics 2008-11-26 Peng Gao , Jun-Bao Wu

We discuss the origin of the leg factors appearing in 2D string theory. Computing in the world sheet framework we use the semiclassical method to study string amplitudes at high energy. We show that in the case of a simplest 2-point…

High Energy Physics - Theory · Physics 2010-11-01 Antal Jevicki , Miao Li , Tamiaki Yoneya

High energy fixed angle scattering is studied in matrix string theory. The saddle point world sheet configurations, which give the dominant contributions to the string theory amplitude, are taken as classical backgrounds in matrix string…

High Energy Physics - Theory · Physics 2009-10-31 Thomas Wynter

We study scattering of higher spin closed string states at arbitrary mass levels from D-particle in the Regge regime. We extract the infinite ratios among high-energy amplitudes of different string states in the fixed angle regime from…

High Energy Physics - Theory · Physics 2011-11-03 Jen-Chi Lee , Yoshihiro Mitsuka , Yi Yang

We discuss the non-relativistic limit of string theory in AdS$_5\times$S$^5$ for different choices of embedding coordinates. We show that, if we consider Cartesian coordinates, the action of fluctuations around the twisted BMN-like string…

High Energy Physics - Theory · Physics 2023-11-14 Andrea Fontanella , Juan Miguel Nieto García

Recent work revealed a tension between the Gross-Mende analysis of the high-energy fixed-angle behavior of string amplitudes and the explicit numerical data. Motivated by this puzzle, we revisit the problem of classifying saddle-point…

High Energy Physics - Theory · Physics 2026-04-29 Marco Maria Baccianti , Lorenz Eberhardt , Sebastian Mizera

A set of four factorizable non-relativistic S-matrices for a multiplet of fundamental particles are defined based on the R-matrix of the quantum group deformation of the centrally extended superalgebra su(2|2). The S-matrices are a function…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

Using information from the marginality conditions of vertex operators for the AdS_5 x S^5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension…

High Energy Physics - Theory · Physics 2013-05-30 M. Beccaria , S. Giombi , G. Macorini , R. Roiban , A. A. Tseytlin

We investigate the Penrose limit of various brane solutions including Dp-branes, NS5-branes, fundamental strings, (p,q) fivebranes and (p,q) strings. We obtain special null geodesics with the fixed radial coordinate (critical radius), along…

High Energy Physics - Theory · Physics 2014-11-18 Hiroyuki Fuji , Katsushi Ito , Yasuhiro Sekino

We show that non-relativistic actions of string and D-branes on AdS_5 x S^5 can be reproduced as a semiclassical approximation of the string and D-brane actions around static 1/2 BPS configurations. This is contrastive to the Penrose limit.…

High Energy Physics - Theory · Physics 2010-10-27 Makoto Sakaguchi , Kentaroh Yoshida

Beginning with a review of the arguments leading to the so-called c=1 barrier in the continuum formulation of noncritical string theory, the pathology is then exhibited in a discretized version of the theory, formulated through dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

Motivated by the recent proposal for the S-matrix in $AdS_3\times S^3$ with mixed three form fluxes, we study classical folded string spinning in $AdS_3$ with both Ramond and Neveu-Schwarz three form fluxes. We solve the equations of motion…

High Energy Physics - Theory · Physics 2015-06-19 Justin R. David , Abhishake Sadhukhan

High-energy limit of stringy Ward identities derived from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string are used to check the consistency of saddle point…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee

We propose a mathematical framework to systematically explore the propagation properties of a class of continuous in time nonlinear neural network models comprising a hierarchy of processing areas, mutually connected according to the…

Analysis of PDEs · Mathematics 2025-05-15 Andrea Alamia , Léa Dalliès , Grégory Faye , Rufin Vanrullen