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The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a…

High Energy Physics - Theory · Physics 2014-11-18 Nima Arkani-Hamed , Jared Kaplan

We give an explicit formula for all tree amplitudes in N=4 SYM, derived by solving the recently presented supersymmetric tree-level recursion relations. The result is given in a compact, manifestly supersymmetric form and we show how to…

High Energy Physics - Theory · Physics 2009-04-17 J. M. Drummond , J. M. Henn

Using the ambitwistor string theory, we study graviton scattering amplitudes in a light-like linear dilaton background of ten-dimensional supergravity. At the tree level, we find that the three-graviton amplitude coincides with the type II…

High Energy Physics - Theory · Physics 2023-08-09 Mayu Kato , Yu Nakayama

Method for computing scattering amplitudes of open strings with Dirichlet boundary on one end and Neumann boundary condition on the other is described. Vertex operator for these states are constructed using twist fields which have been…

High Energy Physics - Theory · Physics 2009-10-30 Akikazu Hashimoto

We study the feasibility of level expansion and test the quartic vertex of closed string field theory by checking the flatness of the potential in marginal directions. The tests, which work out correctly, require the cancellation of two…

High Energy Physics - Theory · Physics 2009-11-11 Haitang Yang , Barton Zwiebach

We compute two infinite series of tree-level amplitudes with a massive scalar pair and an arbitrary number of gluons. We provide results for amplitudes where all gluons have identical helicity, and amplitudes with one gluon of opposite…

High Energy Physics - Theory · Physics 2009-11-11 Darren Forde , David A. Kosower

We demonstrate the equivalence of all loop closed topological string amplitudes on toric local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons theory. We use this equivalence to compute the topological…

High Energy Physics - Theory · Physics 2015-06-26 Mina Aganagic , Marcos Marino , Cumrun Vafa

String field theory for the non-critical NSR string is described. In particular it gives string field theory for the 2D super-gravity coupled to a $\hat{c}=1$ matter field. For this purpose double-step pictures changing operators for the…

High Energy Physics - Theory · Physics 2007-05-23 I. Ya. Aref'eva , A. P. Zubarev

The entire form of the amplitude of three SYM ( involving two transverse scalar fields, a gauge field) and a potential $C_{n-1}$ Ramond-Ramond (RR) form field is found out. We first derive $<V_{C^{-2}} V_{A^{0}} V_{\phi ^{0}} V_{\phi…

High Energy Physics - Theory · Physics 2016-09-02 Ehsan Hatefi

The recently introduced anomaly-free twistor string in 4 dimensions is further explored. The spectrum based on the physical states and its Minkowski interpretation are examined. Scattering amplitudes with vertex operators involving…

High Energy Physics - Theory · Physics 2021-04-14 Christian Kunz

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

Noncommutative \phi^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon…

High Energy Physics - Theory · Physics 2008-11-26 Youngjai Kiem , Sangmin Lee , Jaemo Park

We calculate the supergravity fields sourced by a D-brane with a null travelling wave from disk amplitudes in type IIB string theory compactified on T^4 x S^1. The amplitudes reproduce all the non-trivial features of the previously known…

High Energy Physics - Theory · Physics 2010-12-08 William Black , Rodolfo Russo , David Turton

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language…

High Energy Physics - Theory · Physics 2009-03-26 Carlos R. Mafra

In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement between the one instanton contribution to the scattering amplitudes of two dimensional string theory and those in the matrix model to the first subleading order. The…

High Energy Physics - Theory · Physics 2021-03-17 Ashoke Sen

We present an integration-by-parts reduction of any massless tree-level string correlator to an equivalence class of logarithmic functions, which can be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula. The string…

High Energy Physics - Theory · Physics 2019-06-24 Song He , Fei Teng , Yong Zhang

It is shown how the topological string amplitudes encode the BPS structure of wrapped M2 branes in M-theory compactification on Calabi-Yau threefolds. This in turn is related to a twisted supersymmetric index in 5 dimensions which receives…

High Energy Physics - Theory · Physics 2007-05-23 Rajesh Gopakumar , Cumrun Vafa

We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons of non-identical helicities behave universally in the limit,…

High Energy Physics - Theory · Physics 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov

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

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