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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

String theory offers an elegant and concrete realization of how to consistently couple states of arbitrarily high spin. But how unique is this construction? In this paper we derive a novel, multi-parameter family of four-point scattering…

High Energy Physics - Theory · Physics 2023-02-01 Clifford Cheung , Grant N. Remmen

We provide a brief summary of a method to calculate improvements to the Veneziano Amplitude, creating sub-leading non-linearities in the Regge trajectory of states. We formulate it as an extension of a computation by Makeenko and Olesen. We…

High Energy Physics - Theory · Physics 2019-05-22 Edwin Ireson

We examine universal positivity constraints on $2 \to 2$ scattering in 4d planar $N=4$ supersymmetric Yang-Mills theory with higher-derivative corrections. We present numerical evidence that the convex region of allowed Wilson coefficients…

High Energy Physics - Theory · Physics 2023-10-18 Justin Berman , Henriette Elvang , Aidan Herderschee

We compute meson scattering amplitudes using the holographic duality between confining gauge theories and string theory, in order to consider holographic corrections to the Veneziano amplitude and associated higher-point functions. The…

High Energy Physics - Theory · Physics 2017-04-26 Adi Armoni , Edwin Ireson

The hypergeometric amplitude is a one-parameter deformation of the Veneziano amplitude for four-point tachyon scattering in bosonic string theory that is consistent with $S$-matrix bootstrap constraints. In this article we construct a…

High Energy Physics - Theory · Physics 2025-02-10 Gareth Mansfield , Marcus Spradlin

Bosonic string theory with the possibility for an arbitrary number of strings - i.e. a string field theory - is formulated by a Hilbert space (a Fock space), which is just that for massless noninteracting scalars. We earlier presented this…

High Energy Physics - Theory · Physics 2016-11-04 Holger B. Nielsen , Masao Ninomiya

We consider weakly-coupled theories of massive higher-spin particles. This class of models includes, for instance, tree-level String Theory and Large-N Yang-Mills theory. The S-matrix in such theories is a meromorphic function obeying…

High Energy Physics - Theory · Physics 2017-10-25 Simon Caron-Huot , Zohar Komargodski , Amit Sever , Alexander Zhiboedov

We consider the Veneziano amplitude for the scattering of gluons in type IIB string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ in the presence of D7 branes. On general grounds curvature corrections around flat space can be thought of as…

High Energy Physics - Theory · Physics 2024-04-26 Luis F. Alday , Tobias Hansen

This paper demonstrates how the Veneziano partial amplitude of bosonic string theory admits a generalization to world-(hyper)surfaces of any dimension $d$. In particular, for $d=2$, by carving up the worldsheet integral according to…

High Energy Physics - Theory · Physics 2025-09-30 Christian Baadsgaard Jepsen

We compute the AdS Veneziano amplitude for type IIB gluon scattering in $AdS_5 \times S^3$ to all orders in $\alpha'$ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual $4d$ $\mathcal{N}=2$ SCFT…

High Energy Physics - Theory · Physics 2026-02-24 Luis F. Alday , Shai M. Chester , Tobias Hansen , De-liang Zhong

In this note we describe hadrons: mesons and baryons as strings with electric charges on their endpoints. We consider here only the neutral system with opposite charges coupled to an external constant electric and magnetic fields. We derive…

High Energy Physics - Theory · Physics 2020-07-24 Jacob Sonnenschein , Dorin Weissman , Shimon Yankielowicz

We explore the space of meromorphic amplitudes with extra constraints coming from the shape of the leading Regge trajectory. This information comes in two guises: it bounds the maximal spin of exchanged particles of a given mass; it leads…

High Energy Physics - Theory · Physics 2024-10-28 Kelian Häring , Alexander Zhiboedov

We propose a holographic computation of the $2\rightarrow 2$ meson scattering in a curved string background, dual to a QCD-like theory. We recover the Veneziano amplitude and compute a perturbative correction due to the background…

High Energy Physics - Theory · Physics 2017-06-07 Adi Armoni , Edwin Ireson

We argue that string theory emerges inevitably from a few simple assumptions about physical scattering. Consistency alone requires that all tree-level four-point scattering amplitudes exhibit vanishing residues at prescribed values of the…

High Energy Physics - Theory · Physics 2025-08-14 Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

We present a derivation of the first curvature correction to the AdS Veneziano amplitude for arbitrary Kaluza-Klein (KK) modes, using a bootstrap approach based on the world-sheet representation and AdS$\times$S formalism. Our results…

High Energy Physics - Theory · Physics 2026-02-24 Bo Wang

We consider four scalar mesons scattering in large-Nc QCD. Using the worldline formalism we show that the scattering amplitude can be written as a formal sum over Wilson loops. The AdS/CFT correspondence maps this sum into a sum over string…

High Energy Physics - Theory · Physics 2016-04-20 Adi Armoni

A natural SL(2,Z) invariant generalization of the Veneziano amplitude in type IIB superstring theory is investigated. It includes certain perturbative and non-perturbative (D-instanton) contributions, and it reduces to the correct…

High Energy Physics - Theory · Physics 2009-10-30 J. G. Russo

We present a numerical linear programming bootstrap to construct dual model scattering amplitudes. Dual models describe tree-level exchanges of higher spin resonances in theories like string theory and large $N$ gauge theories. Despite…

High Energy Physics - Theory · Physics 2024-01-31 Christopher Eckner , Felipe Figueroa , Piotr Tourkine

We consider meson scattering in the framework of the lattice strong coupling expansion. In particular we derive an expression for the 4-point function of meson operators in the planar limit of scalar Chromodynamics. Interestingly, in the…

High Energy Physics - Lattice · Physics 2018-03-14 Adi Armoni , Edwin Ireson , Davide Vadacchino
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