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The bosonic string theory evolved as an attempt to find physical/quantum mechanical model capable of reproducing Euler's beta function (Veneziano amplitude) and its multidimensional analogue. The multidimensional analogue of beta function…

High Energy Physics - Theory · Physics 2015-06-26 Arkady L. Kholodenko

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

In this contribution we go through the developments that in the years 1968 to 1974 led from the Veneziano model to the bosonic string.

High Energy Physics - Theory · Physics 2008-11-26 Paolo Di Vecchia

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 realize bosonic string theory with ensembles of infinite width neural networks. The string tension is tuned by the variance of the output weights. The construction provides a new computation of the foundational Virasoro-Shapiro and…

High Energy Physics - Theory · Physics 2026-01-13 Samuel Frank , James Halverson

We discuss a precise relation between the Veneziano amplitude of string theory, rewritten in terms of ratios of the Riemann zeta function, and two elementary criteria for the Riemann hypothesis formulated in terms of integrals of the…

High Energy Physics - Theory · Physics 2017-02-01 Yang-Hui He , Vishnu Jejjala , Djordje Minic

In a series of recently published papers we reanalyzed the existing treatments of Veneziano and Veneziano-like amplitudes and the models associated with these amplitudes. In this work we demonstrate that the already obtained new partition…

High Energy Physics - Theory · Physics 2010-11-02 Arkady L. Kholodenko

Recently, an infinite family of one-parameter generalisations of the Veneziano amplitude were bootstrapped using as input assumptions an integer mass spectrum, crossing symmetry, high-energy boundedness, and exchange of finite spins. This…

High Energy Physics - Theory · Physics 2024-04-09 Konstantinos C. Rigatos

This article is about my memories from the discovery that the Veneziano model describes in fact interacting strings. I came to the understanding of that the dual or Veneziano model is really a model of strings independently of L. Susskind…

High Energy Physics - Phenomenology · Physics 2009-04-28 H. B. Nielsen

A phenomenologically successful two-component hadronic duality picture led to Veneziano's amplitude, the fundamental first step to string theory. This picture is briefly recalled and its two components are identified as the open strings…

High Energy Physics - Theory · Physics 2007-09-12 Peter G. O. Freund

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

In this note we demonstrate how one can compute the Veneziano amplitude for bosonic string theory using the BCFW method. We use an educated ansatz for the cubic amplitude of two tachyons and an arbitrary level string state.

High Energy Physics - Theory · Physics 2011-05-13 A. Fotopoulos

The Veneziano amplitude describing the tree-level scattering of four open superstrings is expected to be consistent with unitarity in ten spacetime dimensions. While this follows indirectly from the no-ghost theorem, a direct proof at the…

High Energy Physics - Theory · Physics 2026-02-18 Gareth Mansfield

A universal symmetric truncation of the bosonic string Hilbert space yields all known closed fermionic string theories in ten dimensions, their D-branes and their open descendants. We highlight the crucial role played by group theory and…

High Energy Physics - Theory · Physics 2010-04-28 Auttakit Chattaraputi , Francois Englert , Laurent Houart , Anne Taormina

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

In this part of our four parts work (e.g see Part I, hep-th/0410242) we use the theory of polynomial invariants of finite pseudo-reflection groups in order to reconstruct both the Veneziano and Veneziano-like (tachyon-free) amplitudes and…

High Energy Physics - Theory · Physics 2009-11-10 Arkady L. Kholodenko

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

We have proposed a new type of string field theory. The main point of the present article is to cure some technical troubles: missing two out three terms in veneziano amplitude. Our novel string field theory, describes a theory with many…

High Energy Physics - Theory · Physics 2018-04-04 Holger Bech Nielsen , Masao Ninomiya

The Veneziano amplitude is derived from fixing one degree of freedom of $PSL(2,\mathbb{R})$ symmetry by the insertion of a mostly BRST exact operator. Evaluating the five-point function which consists of four open string tachyons and this…

High Energy Physics - Theory · Physics 2022-01-19 Isao Kishimoto , Tomoko Sasaki , Shigenori Seki , Tomohiko Takahashi

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
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