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Related papers: Dual S-matrix Bootstrap I: 2D Theory

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An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

High Energy Physics - Theory · Physics 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

This paper deals with the alternative mathematical modeling of the two-side platform. Two-sided platforms are specific multi-sided platforms that bring together two distinct groups of a model. The stochastic modeling by adapting various…

Probability · Mathematics 2022-12-29 Song-Kyoo Kim

A formulation of nucleon-nucleon scattering is developed in which the S-matrix, rather than an effective-field theory (EFT) action, is the fundamental object. Spacetime plays no role in this description: the S-matrix is a trajectory that…

High Energy Physics - Theory · Physics 2021-08-31 Silas R. Beane , Roland C. Farrell

We study the conformal bootstrap for systems of correlators involving non-identical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We…

High Energy Physics - Theory · Physics 2014-12-05 Filip Kos , David Poland , David Simmons-Duffin

The present paper deals with N=1 2D supersymmetric integrable quantum field theory. The S-matrix proposed to describe the interactions between supersymmetric particles is applied to theories involving topological excitations of zero central…

High Energy Physics - Theory · Physics 2007-05-23 Evangelos Mavrikis

The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation…

High Energy Physics - Theory · Physics 2007-05-23 Olalla A. Castro-Alvaredo

Recently, boundary conformal field theories (BCFTs) have attracted much attention in the context of quantum gravity. This is because a BCFT can be dual to gravity coupled to a heat bath CFT, known as the island model. On this background, it…

High Energy Physics - Theory · Physics 2022-04-13 Yuya Kusuki

We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski's virial theorem bound to finite energies and gives the first non-trivial bound…

High Energy Physics - Theory · Physics 2023-06-28 Henry W. Lin

The numerical conformal bootstrap is used to study mixed correlators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in $d=4$ spacetime dimensions. Systems of four-point functions involving scalar chiral and real operators are…

High Energy Physics - Theory · Physics 2017-08-02 Daliang Li , David Meltzer , Andreas Stergiou

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N=1 supersymmetry is investigated. New solutions are found which have the same fusing data as bosonic theories related to the classical affine…

High Energy Physics - Theory · Physics 2009-10-30 Timothy J. Hollowood , Evangelos Mavrikis

The matrix scaling problem, particularly the Sinkhorn-Knopp algorithm, has been studied for over 60 years. In practice, the algorithm often yields high-quality approximations within just a few iterations. Theoretically, however, the…

Data Structures and Algorithms · Computer Science 2025-08-12 Kun He

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

For linear electromagnetic systems possessing time-reversal symmetry, we present an approach to bound ratios of internal fields excited from different ports, using only the scattering matrix (S matrix), improving upon previous related…

Optics · Physics 2025-06-24 Wenchao Ma , Raphaël Pestourie , Steven G. Johnson

It is pointed out that the apparent presence of the fusing rule for purely elastic scattering theories in theories with dynamical Yangian invariance implies beautiful and hitherto unseen structure in the finite-dimensional representation…

High Energy Physics - Theory · Physics 2007-05-23 N. J. MacKay

We present a new duality between the F-terms of supersymmetric field theories defined in two- and four-dimensions respectively. The duality relates N=2 supersymmetric gauge theories in four dimensions, deformed by an Omega-background in one…

High Energy Physics - Theory · Physics 2015-05-27 Nick Dorey , Timothy J. Hollowood , Sungjay Lee

Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS…

High Energy Physics - Theory · Physics 2016-11-09 Davide Gaiotto

Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making…

The correlated two-particle problem is solved analytically in the presence of a finite cavity. The method is demonstrated here in terms of exactly solvable models for both the cavity as well as the two-particle correlation where the…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 K. Morawetz , M. Schreiber , B. Schmidt , A. Ficker , P. Lipavský

Conformal field theories have been extremely useful in our quest to understand physical phenomena in many different branches of physics, starting from condensed matter all the way up to high energy. Here we discuss applications of…

Quantum Physics · Physics 2021-12-14 Elias Kokkas , Aaron Bagheri , Zhenghan Wang , George Siopsis