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Hodge's formula represents the gravitational MHV amplitude as the determinant of a minor of a certain matrix. When expanded, this determinant becomes a sum over weighted trees, which is the form of the MHV formula first obtained by Bern,…

高能物理 - 理论 · 物理学 2013-11-14 Kirill Krasnov , Carlos Scarinci

We study a class of tree-level ans\"atze for $2\to 2$ scalar and gauge boson amplitudes inspired by stringy UV completions. These amplitudes manifest Regge boundedness and are exponentially soft for fixed-angle high energy scattering, but…

高能物理 - 理论 · 物理学 2022-12-09 Brad Bachu , Aaron Hillman

We calculate tree level scattering amplitudes for open strings using the NSR formalism. We present a streamlined symmetry-based and pedagogical approach to the computations, which we first develop by checking two-, three-, and four-point…

高能物理 - 理论 · 物理学 2016-08-22 Katrin Becker , Melanie Becker , Ilarion V. Melnikov , Daniel Robbins , Andrew B. Royston

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

高能物理 - 理论 · 物理学 2011-08-02 I. Y. Park

High energy fixed angle scattering is studied in matrix string theory. The saddle point world sheet configurations, which give the dominant contributions to the string theory amplitude, are taken as classical backgrounds in matrix string…

高能物理 - 理论 · 物理学 2009-10-31 Thomas Wynter

Recently two of the authors presented a spinorial extension of the scattering equations, the `polarized scattering equations' that incorporates spinor polarization data. These led to new worldsheet amplitude formulae for a variety of gauge,…

高能物理 - 理论 · 物理学 2020-12-02 Giulia Albonico , Yvonne Geyer , Lionel Mason

This note addresses the problem of spurious poles in gauge-theoretic scattering amplitudes. New twistor coordinates for the momenta are introduced, based on the concept of dual conformal invariance. The cancellation of spurious poles for a…

高能物理 - 理论 · 物理学 2009-05-12 Andrew Hodges

We obtain Nekrasov-type expressions for the Seiberg-Witten prepotential for the six-dimensional (1,0) supersymmetric E-string theory compactified on T^2 with nontrivial Wilson lines. We consider compactification with four general Wilson…

高能物理 - 理论 · 物理学 2015-06-05 Kazuhiro Sakai

The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for $2\rightarrow 2$ scattering in ${\cal N}=8$ supergravity was presented at three-loop order for the first time. The…

高能物理 - 理论 · 物理学 2019-09-18 Paolo Di Vecchia , Andrés Luna , Stephen G. Naculich , Rodolfo Russo , Gabriele Veneziano , Chris D. White

In the formulation of Cachazo, He, and Yuan, tree-level amplitudes for massless particles in gauge theory and gravity can be expressed as rational functions of the Lorentz invariants $k_a \cdot k_b$, $\epsilon_a \cdot k_b$, and $\epsilon_a…

高能物理 - 理论 · 物理学 2015-10-28 Stephen G. Naculich

We provide a new efficient diagrammatic tool, in the context of the scattering equations, for computation of covariant $D$-dimensional tree-level $n$-point amplitudes with pairs of spinning massive particles using compact exponential…

高能物理 - 理论 · 物理学 2021-05-12 N. Emil J. Bjerrum-Bohr , Taro V. Brown , Humberto Gomez

An on-shell formalism for the computation of S-matrices of SYM theories in three spacetime dimensions is presented. The framework is a generalization of the spinor-helicity formalism in four dimensions. The formalism is applied to establish…

高能物理 - 理论 · 物理学 2011-08-03 Abhishek Agarwal , Donovan Young

We study remarkable connections between twistor-string formulas for tree amplitudes in ${\cal N}=4$ SYM and ${\cal N}=6$ ABJM, and the corresponding momentum amplituhedron in the kinematic space of $D=4$ and $D=3$, respectively. Based on…

高能物理 - 理论 · 物理学 2022-04-29 Song He , Chia-Kai Kuo , Yao-Qi Zhang

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

高能物理 - 理论 · 物理学 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

We derive the torsion constraints and show the consistency of equations of motion of four-dimensional Type II supergravity in superspace, with Type II sigma model. This is achieved by coupling the four-dimensional compactified Type II…

高能物理 - 理论 · 物理学 2015-06-26 Daniel L. Nedel

We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient $\alpha$ controlling the leading correction…

高能物理 - 理论 · 物理学 2021-08-25 Andrea Guerrieri , Joao Penedones , Pedro Vieira

We develop ambitwistor string theories for 4 dimensions to obtain new formulae for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified…

高能物理 - 理论 · 物理学 2014-10-07 Yvonne Geyer , Arthur E. Lipstein , Lionel J. Mason

The pure spinor formulation of superstring theory includes an interacting sector of central charge $c_{\lambda}=22$, which can be realized as a curved $\beta\gamma$ system on the cone over the orthogonal Grassmannian $\text{OG}^{+}(5,10)$.…

高能物理 - 理论 · 物理学 2020-01-15 Richard Eager , Guglielmo Lockhart , Eric Sharpe

By performing the matrix integral over the tree level superpotential of N=1 supersymmetric SO(N)/Sp(N) gauge theories obtained from N=2 SQCD by adding the mass term for the adjoint scalar field, the exact effective superpotential in terms…

高能物理 - 理论 · 物理学 2010-04-05 Changhyun Ahn

In the past year, in arXiv:1208.6066 we proposed a revisited S-matrix approach to efficiently find the bosonic terms of the open superstring low energy effective lagrangian (OSLEEL). This approach allows to compute the ${\alpha'}^N$ terms…

高能物理 - 理论 · 物理学 2015-06-17 Luiz Antonio Barreiro , Ricardo Medina