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We study the Kawai-Lewellen-Tye (KLT) relations for quantum field theory by reformulating it as an isomorphism between two Lie algebras. We also show how explicit formulas for KLT relations arise when studying rational functions on…

High Energy Physics - Theory · Physics 2021-11-16 Hadleigh Frost

The Kawai-Lewellen-Tye (KLT) relations derived from string theory tell us that perturbative gravity amplitudes are the "square" of the corresponding amplitudes in gauge theory. Starting from the light-cone Lagrangian for pure gravity we…

High Energy Physics - Theory · Physics 2008-11-26 Sudarshan Ananth , Stefan Theisen

We investigate properties of four point colour ordered scattering amplitudes in D=6 fishnet CFT. We show that such amplitudes are related via very simple relation to their D=4 counterparts considered previously in the literature. Exploiting…

High Energy Physics - Theory · Physics 2021-05-18 L. V. Bork , R. M. Iakhibbaev , N. B. Muzhichkov , E. S. Sozinov

We examine magnetic and electric near horizon regions of maximally supersymmetric D-brane and NS5-brane bound states and find transformations between near horizon regions with worldvolume dual magnetic and electric fluxes. These point to…

High Energy Physics - Theory · Physics 2010-05-28 H. Larsson , P. Sundell

We revisit the tree-level closed superstring amplitude and identify its alpha'-expansion as series with single-valued multiple zeta values as coefficients. The latter represent a subclass of multiple zeta values originating from…

High Energy Physics - Theory · Physics 2015-06-17 S. Stieberger

This paper considers interactions between closed strings and open strings satisfying either Neumann or constant (point-like) Dirichlet boundary conditions in a BRST formalism in the critical dimension. With Neumann conditions this…

High Energy Physics - Theory · Physics 2009-10-22 Michael B. Green

It was recently shown, using the AdS/CFT correspondence, that the low energy effective action of a large $N$ open string theory satisfies a holographic RG flow equation closely related to the Hamilton-Jacobi equation of 5-d supergravity. In…

High Energy Physics - Theory · Physics 2007-05-23 J. Khoury , H. Verlinde

We use compatibility of D-brane action with linear T-duality, S-duality and with S-matrix elements as guiding principles to find all world volume couplings of one massless closed and two open strings at order $\alpha'^2$ in type II…

High Energy Physics - Theory · Physics 2015-11-25 Ali Jalali , Mohammad R. Garousi

We propose that generalized symmetries in some string-constructed QFTs are given by K-theory. We thus have \textit{even-form} and \textit{odd-form} symmetries determined by $K_N(\partial X)$, the twisted K-theory as D-brane charges on the…

High Energy Physics - Theory · Physics 2026-03-20 Hao Y. Zhang

We review the structure of gauge theory scattering amplitudes at tree level and describe how a compact expression can be found which encodes all the tree-level amplitudes in the maximally supersymmetric N=4 theory. The expressions for the…

High Energy Physics - Theory · Physics 2015-05-28 J. M. Drummond

Superstring scattering from orientifold planes requires considering string amplitudes on world-sheets with crosscaps with the lowest order case (in string coupling constant) having the topology of the real projective plane. While amplitudes…

High Energy Physics - Theory · Physics 2025-02-20 Andreas Bischof , Stephan Stieberger

We elaborate on a string world-sheet connection to flat space-time holography. More specifically, in the high energy (zero tension) limit of tree-level string scattering in flat backgrounds the underlying string world-sheets can be related…

High Energy Physics - Theory · Physics 2025-08-08 Xavier Kervyn , Stephan Stieberger

We compute the tree-level four-point scattering amplitudes in string models where matter fields live on D-brane intersections. Extracting the contribution of massless modes, we are left with dimension-six four-fermion operators which in…

High Energy Physics - Theory · Physics 2010-02-03 I. Antoniadis , K. Benakli , A. Laugier

We discuss a set of recently discovered quadratic relations between gauge theory amplitudes. Such relations give additional structural simplifications for amplitudes in QCD. Remarkably, their origin lie in an analogous set of relations that…

High Energy Physics - Phenomenology · Physics 2015-05-27 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Bo Feng , Thomas Sondergaard

We prove that all open string theory disc amplitudes in a flat background obey Britto-Cachazo-Feng-Witten (BCFW) on-shell recursion relations, up to a possible reality condition on a kinematic invariant. Arguments that the same holds for…

High Energy Physics - Theory · Physics 2010-12-01 Rutger H. Boels , Daniele Marmiroli , Niels A. Obers

We study the high-energy limit of $2 \to 2$ one-loop string amplitudes at fixed momentum transfer. For the closed string, the high-energy behaviour of the amplitudes can be determined from Regge theory just like in field theory, as was…

High Energy Physics - Theory · Physics 2025-08-27 Pinaki Banerjee , Lorenz Eberhardt , Sebastian Mizera

The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory…

Mathematical Physics · Physics 2015-12-10 Kanehisa Takasaki , Toshio Nakatsu

We are still learning intriguing new facets of the string theory motivated Kawai-Lewellen-Tye (KLT) relations linking products of amplitudes in Yang-Mills theories and amplitudes in gravity. This is very clearly displayed in computations of…

High Energy Physics - Theory · Physics 2010-03-12 N. E. J. Bjerrum-Bohr , Pierre Vanhove

We apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories. Using this link we are able to give a general…

High Energy Physics - Theory · Physics 2015-06-05 Bo Feng , Song He

We investigate a pattern in the $\alpha'$ expansion of tree-level open superstring amplitudes which correlates the appearance of higher depth multiple zeta values with that of simple zeta values in a particular way. We rephrase this…

High Energy Physics - Theory · Physics 2015-06-12 J. M. Drummond , E. Ragoucy