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Extensions of theories from soft limits
A bstractWe study a variety of field theories with vanishing single soft limits. In all cases, the structure of the soft limit is controlled by a larger theory, which provides an extension of theExpand
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Combinatorics and topology of Kawai-Lewellen-Tye relations
A bstractWe revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the un-derlying algebro-topologicalExpand
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Scattering Amplitudes from Intersection Theory.
We use Picard-Lefschetz theory to prove a new formula for intersection numbers of twisted cocycles associated with a given arrangement of hyperplanes. In a special case when this arrangement producesExpand
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Aspects of Scattering Amplitudes and Moduli Space Localization
We propose that intersection numbers of certain cohomology classes on the moduli space of genus-zero Riemann surfaces with $n$ punctures, $\mathcal{M}_{0,n}$, compute tree-level scattering amplitudesExpand
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Inverse of the string theory KLT kernel
A bstractThe field theory Kawai-Lewellen-Tye (KLT) kernel, which relates scattering amplitudes of gravitons and gluons, turns out to be the inverse of a matrix whose components are bi-adjoint scalarExpand
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Feynman integrals and intersection theory
A bstractWe introduce the tools of intersection theory to the study of Feynman integrals, which allows for a new way of projecting integrals onto a basis. In order to illustrate this technique, weExpand
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Scattering equations: from projective spaces to tropical grassmannians
A bstractWe introduce a natural generalization of the scattering equations, which connect the space of Mandelstam invariants to that of points on ℂℙ1, to higher-dimensional projective spaces ℂℙk − 1.Expand
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Renormalization of tensor networks using graph independent local truncations
We introduce an efficient algorithm for reducing bond dimensions in an arbitrary tensor network without changing its geometry. The method is based on a quantitative understanding of localExpand
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The S matrix of 6D super Yang-Mills and maximal supergravity from rational maps
A bstractWe present new formulas for n-particle tree-level scattering amplitudes of six-dimensional N=11$$ \mathcal{N}=\left(1,1\right) $$ super Yang-Mills (SYM) and N=22$$Expand
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Can scalars have asymptotic symmetries
Recently it has been understood that certain soft factorization theorems for scattering amplitudes can be written as Ward identities of new asymptotic symmetries. This relationship has beenExpand
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