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We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and instanton sectors and the canonical…

High Energy Physics - Theory · Physics 2010-10-27 Louise Dolan , Peter Goddard

We present new formulas for one-loop ambitwistor-string correlators for gauge theories in any even dimension with arbitrary combinations of gauge bosons, fermions and scalars running in the loop. Our results are driven by new…

High Energy Physics - Theory · Physics 2020-09-15 Alex Edison , Song He , Oliver Schlotterer , Fei Teng

Scattering amplitudes of any four-dimensional theory with nonabelian gauge group $\mathcal G$ may be recast as two-dimensional correlation functions on the asymptotic two-sphere at null infinity. The soft gluon theorem is shown, for…

High Energy Physics - Theory · Physics 2016-11-23 Temple He , Prahar Mitra , Andrew Strominger

This paper gives a direct proof that the leading trace part of the genus zero twistor-string path integral obeys the BCFW recursion relation. This is the first complete proof that the twistor-string correctly computes all tree amplitudes in…

High Energy Physics - Theory · Physics 2011-03-07 David Skinner

In the low-energy effective action of string theories, non-abelian gauge interactions and supergravity are augmented by infinite towers of higher-mass-dimension operators. We propose a new method to construct one-loop matrix elements with…

High Energy Physics - Theory · Physics 2022-08-03 Alex Edison , Max Guillen , Henrik Johansson , Oliver Schlotterer , Fei Teng

We present a new, explicit formula for all tree-level amplitudes in N=4 super Yang-Mills. The formula is written as a certain contour integral of the connected prescription of Witten's twistor string, expressed in link variables. A very…

High Energy Physics - Theory · Physics 2011-01-17 Jacob L. Bourjaily , Jaroslav Trnka , Anastasia Volovich , Congkao Wen

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Berkovits , Edward Witten

K strings in Yang-Mills theory can be considered as bound states of k elementary confining strings carrying one unit of colour flux. Current estimates of k-string tension sigma_k are very sensitive to the leading corrections due to quantum…

High Energy Physics - Lattice · Physics 2008-11-26 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

Our work focuses on utilizing the Berends-Giele currents to construct differential operators and unifying relations for 1-loop Feynman integrands. We successfully reproduce the known results for the unifying relations between Yang-Mills…

High Energy Physics - Theory · Physics 2023-08-11 Qi Chen , Yi-Xiao Tao

We derive a systematic procedure for obtaining an explicit, L-loop leading singularities of planar N=4 super Yang-Mills scattering amplitudes in twistor space directly from their momentum space channel diagrams. The expressions are given as…

High Energy Physics - Theory · Physics 2014-11-20 Mathew Bullimore , Lionel Mason , David Skinner

We study tree level scattering amplitudes of four massless states in the double scaled little string theory, and compare them to perturbative loop amplitudes in six-dimensional super-Yang-Mills theory. The little string amplitudes are…

High Energy Physics - Theory · Physics 2015-06-22 Chi-Ming Chang , Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

The string theory predicts the unification of the gauge couplings and gravity. The minimal supersymmetric Standard Model, however, gives the unification scale $\sim 2\times 10^{16}$ GeV which is significantly smaller than the string scale…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gi-Chol Cho , Kaoru Hagiwara

We reformulate twistor-string theory as a heterotic string based on a twisted (0,2) model. The path integral localizes on holomorphic maps, while the (0,2) moduli naturally correspond to the states of N=4 super Yang-Mills and conformal…

High Energy Physics - Theory · Physics 2008-11-26 Lionel Mason , David Skinner

We study the structure constant of a single trace operator and two determinant operators in ${\cal N}=4$ super Yang-Mills theory. Holographically such a quantity corresponds to the interaction vertex between a closed string and two open…

High Energy Physics - Theory · Physics 2019-06-28 Keun-Young Kim , Minkyoo Kim , Kyungsun Lee

A distinctive feature of string unification is the possibility of unification by a non-simply-laced group. This occurs most naturally in four dimensional type~II string models where the gauge symmetry is realized by Kac-Moody algebras at…

High Energy Physics - Theory · Physics 2010-11-15 L. Dolan , James T. Liu

By studying the effect of the order(\alpha'^3) string theory corrections to type IIB supergravity, including those corrections involving the Ramond-Ramond five-form field strength, we obtain the corrected equations of motion of an Abelian…

High Energy Physics - Theory · Physics 2010-04-30 Babiker Hassanain , Martin Schvellinger

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 use the twistor-string theory on the B-model of CP^{3|4} to compute the maximally helicity violating(MHV) tree amplitudes for conformal supergravitons. The correlator of a bilinear in the affine Kac-Moody current(Sugawara stress-energy…

High Energy Physics - Theory · Physics 2010-02-03 Changhyun Ahn

The scattering equations provide a powerful framework for the study of scattering amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to proposals for formulae at one loop on a torus for 10 dimensional…

High Energy Physics - Theory · Physics 2016-04-20 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that they coincide with the corresponding amplitudes in gauge field…

High Energy Physics - Theory · Physics 2015-06-03 Louise Dolan , Peter Goddard