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The genus-dependence of multi-loop superstring amplitudes is bounded at large orders in perturbation theory using the super-Schottky group parametrization of supermoduli space. Partial estimates of supermoduli space integrals suggest an…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

It is argued that the complete S-matrix of string theory at tree level in a flat background can be obtained from a small set of target space properties, without recourse to the worldsheet description. The main non-standard inputs are…

High Energy Physics - Theory · Physics 2015-06-18 Rutger H. Boels , Tobias Hansen

This paper introduces an intersection theory problem for maps into a smooth manifold equipped with a stratification. We investigate the problem in the special case when the target is the unitary group and the domain is a circle. The first…

Algebraic Topology · Mathematics 2017-08-03 Michael J. Catanzaro , Vladimir Y. Chernyak , John R. Klein

We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schr\"odinger equations with multiple moving potentials. By the discovery of a refined structure of the…

Analysis of PDEs · Mathematics 2025-10-15 Gong Chen , Abdon Moutinho

We show that the Veneziano amplitude of string theory is the unique solution to an analytically solvable bootstrap problem. Uniqueness follows from two assumptions: faster than power-law falloff in high-energy scattering and the existence…

High Energy Physics - Theory · Physics 2025-09-10 Clifford Cheung , Aaron Hillman , Grant N. Remmen

Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with…

High Energy Physics - Theory · Physics 2009-10-28 David C. Dunbar , Paul S. Norridge

An exact conformal model representing a constant magnetic field background in heterotic string theory is explicitly solved in terms of free creation/annihilation operators. The spectrum of physical states is examined for different possible…

High Energy Physics - Theory · Physics 2009-09-17 J. G. Russo , A. A. Tseytlin

A homogenised model is developed to describe the interaction between aligned strings and an incompressible, viscous, Newtonian fluid. In the case of many strings, the ratio of string separation to domain width gives a small parameter which…

Fluid Dynamics · Physics 2022-02-15 A. Kent , S. L. Waters , J. Oliver , S. J. Chapman

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the case of multiple scattering by smooth obstacles, we prove that…

Numerical Analysis · Mathematics 2014-01-15 Gilles Chardon

We define the concept of a monotonic theory and show how to build efficient SMT (SAT Modulo Theory) solvers, including effective theory propagation and clause learning, for such theories. We present examples showing that monotonic theories…

Logic in Computer Science · Computer Science 2014-06-03 Sam Bayless , Noah Bayless , Holger H. Hoos , Alan J. Hu

The strongly coupled limit of string scattering and the automorphic construction of the graviton S-matrix is compared with the eleven dimensional formulation of M-theory. In a particular scaling limit at strong string coupling, M-theory is…

High Energy Physics - Theory · Physics 2014-11-18 Gordon Chalmers

Transmission probabilities of the scattering problem with a position dependent mass are studied. After sketching the basis of the theory, within the context of the Schr\"{o}dinger equation for spatially varying effective mass, the simplest…

Quantum Physics · Physics 2009-11-11 Ramazan Koc , Mehmet Koca , Gultekin Sahinoglu

A formal relationship between scattering amplitudes in critical bosonic string theory and correlation functions of operators in topological string theory is found.

High Energy Physics - Theory · Physics 2016-09-06 Roger Brooks

We consider the scattering of zero branes off an elementary string in Matrix theory or equivalently gravitons off a longitudinally wrapped membrane. The leading supergravity result is recovered by a one-loop calculation in zero brane…

High Energy Physics - Theory · Physics 2016-09-06 Rajesh Gopakumar , Sanjaye Ramgoolam

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size…

Mathematical Physics · Physics 2011-05-10 Alexander G. Ramm

I discuss the role of spacetime supersymmetry in the interplay between strong/weak coupling duality and target space duality in string theory which arises in string/string duality. This can be seen via the construction of string soliton…

High Energy Physics - Theory · Physics 2007-05-23 Ramzi R. Khuri

Soliton strings in mode-locked lasers are obtained using a variant of the nonlinear Schrodinger equation, appropriately modified to model power (intensity) and energy saturation. This equation goes beyond the well-known master equation…

Optics · Physics 2009-10-05 Mark J. Ablowitz , Theodoros P. Horikis , Sean D. Nixon

We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The…

Soft Condensed Matter · Physics 2009-11-10 A. E. Miroshnichenko , S. Flach , B. Malomed

We study the Regge and hard scattering limits of the one-loop amplitude for massless open string states in the type I theory. For hard scattering we find the exact coefficient multiplying the known exponential falloff in terms of the…

High Energy Physics - Theory · Physics 2014-04-23 Francisco Rojas

We study the scattering of scalar waves propagating on the global monopole background. Since the scalar wave operator in this topological defect is not essentially self-adjoint, its solutions are not uniquely determined until a boundary…

General Relativity and Quantum Cosmology · Physics 2017-12-06 J. P. M. Pitelli , V. S. Barroso , Maurício Richartz