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The scattering equations give striking formulae for massless scattering amplitudes at tree level and, as shown recently, at one loop. The progress at loop level was based on ambitwistor string theory, which naturally yields the scattering…

High Energy Physics - Theory · Physics 2017-01-04 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

Field theories on the plane wave background are considered. We discuss that for such field theories one can only form 1+1 dimensional freely propagating wave packets. We analyze tree level four point functions of scalar field theory as well…

High Energy Physics - Theory · Physics 2009-11-07 Dongsu Bak , Mohammad M. Sheikh-Jabbari

We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the…

High Energy Physics - Theory · Physics 2018-04-25 James Drummond , Jack Foster , Omer Gurdogan

Recently, it has been observed that the IIB scattering amplitudes are compatible with the standard rules of S-duality. Inspired by this observation, we will find the tree-level S-matrix elements of one Ramond-Ramond and three open strings…

High Energy Physics - Theory · Physics 2019-03-27 Komeil Babaei Velni , H. Babaei-Aghbolagh

Free ${\cal N}=4$ Super Yang-Mills theory (in the large $N$ limit) is dual to an, as yet, intractable closed string theory on $AdS_5\times S^5$. We aim to implement open-closed string duality in this system and thereby recast the free field…

High Energy Physics - Theory · Physics 2009-11-10 Rajesh Gopakumar

We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes…

High Energy Physics - Theory · Physics 2018-12-18 Yvonne Geyer , Ricardo Monteiro

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of…

High Energy Physics - Theory · Physics 2023-08-14 J. M. Drummond , H. Paul , M. Santagata

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

A generalization of the Maldacena conjecture asserts that Type IIB string theory on $\S^5/\Z_3$ is equivalent to a certain supersymmetric $SU(N)^3$ gauge theory with bifundamental matter. To test this assertion, we analyze the wrapped…

High Energy Physics - Theory · Physics 2010-04-07 Sergei Gukov , Mukund Rangamani , Edward Witten

Motivated by a physical interpretation of its correlation functions as membrane scattering amplitudes, we re-address whether the Lorentzian BLG theory can be quantized such that it preserves SO(8) superconformal symmetry. We find that this…

High Energy Physics - Theory · Physics 2008-07-15 Herman Verlinde

We compute the leading-color contribution to four-particle scattering amplitude in four-dimensional conformal fishnet theory that arises as a special limit of $\gamma$-deformed $\mathcal N=4$ SYM. We show that the single-trace partial…

High Energy Physics - Theory · Physics 2019-09-04 G. P. Korchemsky

We study the perturbative S-matrix of closed strings in the two-dimensional type 0B string theory from the worldsheet perspective, by directly integrating correlation functions of ${\cal N}=1$ Liouville theory. The latter is computed…

High Energy Physics - Theory · Physics 2023-06-14 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

In this work, we prove the new factorization pattern for tree-level Yang-Mills (YM) amplitudes proposed in a companion paper. This pattern reveals a decomposition of amplitudes into a sum of gluings of lower-point amplitudes under specific…

High Energy Physics - Theory · Physics 2025-03-11 Yong Zhang

We outline the basic properties of a pertubative QCD factorization formalism that maintains exact over-all kinematics in both the initial and final states. Such a treatment requires the use of non-perturbative factors that depend on all…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. C. Rogers

We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find…

High Energy Physics - Theory · Physics 2009-11-07 Romuald A. Janik

It has recently been observed that IIB string theory in the pp-wave background can be used to calculate certain quantities, such as the dimensions of BMN operators, as exact functions of the effective coupling lambda' = lambda/J^2. These…

High Energy Physics - Theory · Physics 2009-11-07 Igor R. Klebanov , Marcus Spradlin , Anastasia Volovich

We revive an old result, that one-loop corrections to the graviton propagator induce 1/r^3 corrections to the Newtonian gravitational potential, and compute the coefficient due to closed loops of the U(N) {\cal N}=4 super-Yang-Mills theory…

High Energy Physics - Theory · Physics 2010-04-06 M. J. Duff , James T. Liu

We propose a novel string theory propagating in a non-commutative deformation of the four dimensional space T* T^2 whose scattering states correspond to superconformal theories in 5 dimensions and the scattering amplitudes compute…

High Energy Physics - Theory · Physics 2012-09-13 Cumrun Vafa

We explore the closed form of the correlation function of four spin operators (including one closed string Ramond-Ramond (RR) and two open string fermions) and one current in ten dimensions, to be able to find the complete and the closed…

High Energy Physics - Theory · Physics 2014-08-13 Ehsan Hatefi

In this paper we continue the program pioneered by D'Hoker and Phong, and recently advanced by Cacciatori, Dalla Piazza, and van Geemen, of finding the chiral superstring measure by constructing modular forms satisfying certain…

High Energy Physics - Theory · Physics 2009-03-20 Samuel Grushevsky