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The tree-level amplitudes in $\beta$-deformed theory are studied from twistor string theory. We first show that a simple generalization of the proposal in hep-th/0410122 gives the correct results for all of the tree-level amplitudes to the…

High Energy Physics - Theory · Physics 2008-11-26 Peng Gao , Jun-Bao Wu

We compute the two-point open string and closed string amplitudes at tree level and show that, in a 't Hooft-like limit, they take a form structurally analogous to boundary-to-boundary transition amplitudes of a scalar field in Euclidean…

High Energy Physics - Theory · Physics 2025-07-09 Pongwit Srisangyingcharoen , Jongruk Pukdee

Motivated by arXiv:1203.5553, we continue to match super string amplitudes with their own effective field theory. We carry out within full details the computations of the complete form of the amplitude of one closed string Ramond-Ramond…

High Energy Physics - Theory · Physics 2013-04-16 Ehsan Hatefi

KLT relations almost factorize closed string amplitudes on $S_2$ by two open string tree amplitudes which correspond to the left- and the right- moving sectors. In this paper, we investigate string amplitudes on $D_2$ and $RP_2$. We find…

High Energy Physics - Theory · Physics 2009-10-06 Yi-Xin Chen , Yi-Jian Du , Qian Ma

We propose a new ``universal expansion" for one-loop amplitudes with arbitrary number of gluons in $D$ dimensions, which holds for general gauge theories with gluons/fermions/scalars in the loop, including pure and supersymmetric Yang-Mills…

High Energy Physics - Theory · Physics 2024-12-30 Qu Cao , Jin Dong , Song He , Fan Zhu

The one-loop four-graviton amplitude in either of the type II superstring theories is expanded in powers of the external momenta up to and including terms of order s^4 log s R^4, where R^4 denotes a specific contraction of four linearized…

High Energy Physics - Theory · Physics 2009-10-31 Michael B. Green , Pierre Vanhove

An open superstring field theory action has been proposed which does not suffer from contact term divergences. In this paper, we compute the on-shell four-point tree amplitude from this action using the Giddings map. After including…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits , Carlos Tello Echevarria

We present a new method to evaluate the $\alpha'$-expansion of genus-one integrals over open-string punctures and unravel the structure of the elliptic multiple zeta values in its coefficients. This is done by obtaining a simple…

High Energy Physics - Theory · Physics 2020-03-18 Carlos R. Mafra , Oliver Schlotterer

The scattering amplitudes of string theory exhibit many extraordinary properties. But are they the unique mathematical objects to do so? Recently, it has been shown how the spectrum and amplitudes of open string theory follow directly from…

High Energy Physics - Theory · Physics 2025-05-01 Clifford Cheung , Aaron Hillman , Grant N. Remmen

We analyze the fixed-angle high-energy ($\alpha' \to \infty$) structure of $n$-point tree-level string amplitudes from complementary perspectives: locally via saddle-point expansions, algebraically via difference equations and their…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Kervyn , Stephan Stieberger

We establish a connection between tree-level superamplitudes in ABJM theory and leading singularities associated to special three-particle cuts of one-loop superamplitudes where one of the tree amplitudes entering the cut is a four-point…

High Energy Physics - Theory · Physics 2017-08-23 Andreas Brandhuber , Gabriele Travaglini , Congkao Wen

We reexamine genus one super-Green functions with general boundary conditions twisted by $(\alpha, \beta)$ for $(\sigma, \tau)$ directions in the eigenmode expansion and derive expressions as infinite series of hypergeometric functions.…

High Energy Physics - Theory · Physics 2016-03-30 H. Itoyama , Kohei Yano

In this paper, we demonstrate that locally, the $\alpha^{\prime}$ expansion of a string propagating in AdS can be summed into a closed expression, where the $\alpha'$ dependence is manifested. The T-dual of this sum exactly matches the…

High Energy Physics - Theory · Physics 2017-03-16 Peng Wang , Houwen Wu , Haitang Yang

In this note, we derive and interpret hidden zeros of tree-level amplitudes of various theories, including Yang-Mills, non-linear sigma model, special Galileon, Dirac-Born-Infeld, and gravity, by utilizing universal expansions of tree-level…

High Energy Physics - Theory · Physics 2026-05-05 Hao Huang , Ye Yang , Kang Zhou

Deformations of topological open string theories are described, with an emphasis on their algebraic structure. They are encoded in the mixed bulk-boundary correlators. They constitute the Hochschild complex of the open string algebra -- the…

High Energy Physics - Theory · Physics 2010-02-03 Christiaan Hofman , Whee Ky Ma

We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits , Carlos R. Mafra

Physical properties of scattering amplitudes are mapped to the Riemann zeta function. Specifically, a closed-form amplitude is constructed, describing the tree-level exchange of a tower with masses $m_n^2 = \mu_n^2$, where…

High Energy Physics - Theory · Physics 2021-12-09 Grant N. Remmen

We derive a general expression for on-shell recursion relations of closed string tree-level amplitudes. Starting with the string amplitudes written in the form of the Koba-Nielsen integral, we apply the BCFW shift to deform them. In…

High Energy Physics - Theory · Physics 2025-03-11 Pongwit Srisangyingcharoen , Aphiwat Yuenyong

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

In this work, we argue that the $\alpha'\to 0$ limit of closed string theory scattering amplitudes is a tropical limit. The motivation is to develop a technology to systematize the extraction of Feynman graphs from string theory amplitudes…

High Energy Physics - Theory · Physics 2017-03-10 Piotr Tourkine
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