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We review the structure of gauge theory scattering amplitudes at tree level and describe how a compact expression can be found which encodes all the tree-level amplitudes in the maximally supersymmetric N=4 theory. The expressions for the…

High Energy Physics - Theory · Physics 2015-05-28 J. M. Drummond

Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via single-valued periods, we identify a recursive relation for…

High Energy Physics - Theory · Physics 2024-12-24 Konstantin Baune , Johannes Broedel , Federico Zerbini

Misner space, also known as the Lorentzian orbifold $R^{1,1}/boost$, is the simplest tree-level solution of string theory with a cosmological singularity. We compute tree-level scattering amplitudes involving twisted states, using operator…

High Energy Physics - Theory · Physics 2014-11-18 M. Berkooz , B. Durin , B. Pioline , D. Reichmann

We initiate a program to study the relationship between the target space, the spectrum and the scattering amplitudes in string theory. We consider scattering amplitudes following from string theory and quantum field theory on a curved…

High Energy Physics - Theory · Physics 2010-11-01 Måns Henningson

The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be…

High Energy Physics - Theory · Physics 2025-08-14 Carlos R. Mafra

In this letter a new class of twisted strings is presented, with an asymmetry between the holomorphic and antiholomorphic sectors parametrized by an integer $N$. Their physical content is given by the massless resonances of the closed…

High Energy Physics - Theory · Physics 2022-04-13 Renann Lipinski Jusinskas

In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes. This is achieved by studying special linear combinations…

Number Theory · Mathematics 2020-04-30 Don Zagier , Federico Zerbini

The exact symmetry identities among four-point tree-level amplitudes of bosonic open string theory as derived by G. W. Moore are re-examined. The main focuses of this work are: (1) Explicit construction of kinematic configurations and a new…

High Energy Physics - Theory · Physics 2014-06-02 Chuan-Tsung Chan , Shoichi Kawamoto , Dan Tomino

We investigate gauge invariant operators corresponding to on-shell closed string states in open string field theory. Using both oscillator representation and conformal mapping techniques, we calculate a two closed string tachyon amplitude…

High Energy Physics - Theory · Physics 2009-11-10 Tomohiko Takahashi , Syoji Zeze

We consider the interactions of strings on T-folds from the world-sheet point of view which are exact in $\alpha'$. As a concrete example, we take a model where the internal torus at the so(8) enhancement point is twisted by T-duality…

High Energy Physics - Theory · Physics 2022-07-06 Yuji Satoh , Yuji Sugawara

We address the problem of describing different closed string backgrounds in background independent open string field theory: A shift in the closed string background corresponds to a collective excitation of open strings. As an illustration…

High Energy Physics - Theory · Physics 2009-01-30 Marco Baumgartl , Ivo Sachs

In this note we present an explicit procedure for the regularization of tree level amplitudes involving discrete states, using open string field theory. We show that there is a natural correspondence between the discrete states and…

High Energy Physics - Theory · Physics 2011-07-19 Branko Urosevic

We use the factorization constraints of open-closed string field theory to determine the signs and normalizations of general string amplitudes with both open and closed string external states. The normalization of all amplitudes is…

High Energy Physics - Theory · Physics 2024-05-08 Ashoke Sen , Barton Zwiebach

Motivated by recent progress in calculating field theory amplitudes, we study applications of the basic ideas in these developments to the calculation of amplitudes in string theory. We consider in particular both non-Abelian and Abelian…

High Energy Physics - Theory · Physics 2010-05-28 Rutger Boels , Kasper J. Larsen , Niels A. Obers , Marcel Vonk

The string field theory for unoriented open-closed string mixed system is constructed up to quadratic order based on the joining-splitting type vertices. The gauge invariance with closed string transformation parameter is proved. The…

High Energy Physics - Theory · Physics 2009-10-30 Taichiro Kugo , Tomohiko Takahashi

A formalism is provided to calculate tree amplitudes in open superstring theory for any multiplicity at any order in the inverse string tension. We point out that the underlying world-sheet disk integrals share substantial properties with…

High Energy Physics - Theory · Physics 2013-10-10 Johannes Broedel , Oliver Schlotterer , Stephan Stieberger

We further elaborate on the general construction proposed in arXiv:1812.03369, which connects, via tree-level double copy, massless string amplitudes with color-ordered QFT amplitudes that are given by Cachazo-He-Yuan formulas. The current…

High Energy Physics - Theory · Physics 2019-09-17 Song He , Fei Teng , Yong Zhang

We give a detailed study of the associativity anomaly in open string field theory from the viewpoint of the split string and Moyal formalisms. The origin of the anomaly is reduced to the properties of the special infinite size matrices…

High Energy Physics - Theory · Physics 2009-11-07 Itzhak Bars , Yutaka Matsuo

We propose a geometric relation between closed and open string amplitudes at one-loop. After imposing a homological splitting on the world-sheet torus twisted intersection theory is used to establish a one-loop double copy relation. The…

High Energy Physics - Theory · Physics 2024-10-03 Pouria Mazloumi , Stephan Stieberger

We study the interactions of Maldacena's long folded strings in two-dimensional string theory. We find the amplitude for a state containing two long folded strings to come and go back to infinity. We calculate this amplitude both in the…

High Energy Physics - Theory · Physics 2008-11-26 J. -E. Bourgine , K. Hosomichi , I. Kostov , Y. Matsuo