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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…

高能物理 - 理论 · 物理学 2015-06-05 Bo Feng , Song He

We study integrals appearing in one-loop amplitudes in string theory, and in particular their analytic continuation based on a string theoretic analog of the $i\varepsilon$-prescription of quantum field theory. For various zero- and…

高能物理 - 理论 · 物理学 2024-11-06 Jan Manschot , Zhi-Zhen Wang

We describe new on-shell recursion relations for tree-amplitudes in N=1 and N=2 gauge theories and use these to show that the structure of the S-matrix in pure N=1 and N=2 gauge theories resembles that of pure Yang-Mills. We proceed to…

高能物理 - 理论 · 物理学 2010-05-25 Shailesh Lal , Suvrat Raju

Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and…

高能物理 - 理论 · 物理学 2023-11-07 Edward Witten

We show that 4-point vector boson one-loop amplitudes, computed in ref.[1] in the RNS formalism, around vacuum configurations with open unoriented strings, preserving at least N=1 SUSY in D=4, satisfy the correct supersymmetry Ward…

高能物理 - 理论 · 物理学 2016-03-16 Massimo Bianchi , Dario Consoli

We reformulate tree-level amplitudes in open superstring theory (type-I) in terms of stringy Tr$(\phi^3)$ amplitudes with various kinematical shifts in the "curve-integral" formulation: while the bosonic-string amplitude with $n$ pairs of…

高能物理 - 理论 · 物理学 2025-11-05 Qu Cao , Jin Dong , Song He , Fan Zhu

We compute the off-shell 1-loop tadpole amplitude in heterotic string field theory. With a special choice of cubic vertex, we show that this amplitude can be computed exactly. We obtain explicit and elementary expressions for the Feynman…

高能物理 - 理论 · 物理学 2017-12-06 Theodore Erler , Sebastian Konopka , Ivo Sachs

The method of the calculation of the multi-loop superstring amplitudes is proposed. The amplitudes are calculated from the equations that are none other than Ward identities. They are derived from the requirement that the discussed…

高能物理 - 理论 · 物理学 2014-11-18 G. S. Danilov

We present a description for amplitude diagrams in maximal supergravities obtained by dimensional reduction from D=11, derived from a field theory point of view using the pure spinor formalism. The advantages of this approach are the…

高能物理 - 理论 · 物理学 2015-06-12 Martin Cederwall , Anna Karlsson

I report on the development of a novel statistical mechanical formalism for the analysis of random graphs with many short loops, and processes on such graphs. The graphs are defined via maximum entropy ensembles, in which both the degrees…

无序系统与神经网络 · 物理学 2016-05-04 A C C Coolen

We study the field theory limit of multi-loop (super)string amplitudes, with the aim of clarifying their relationship to Feynman diagrams describing the dynamics of the massless states. We propose an explicit map between string moduli…

高能物理 - 理论 · 物理学 2015-06-16 Lorenzo Magnea , Sam Playle , Rodolfo Russo , Stefano Sciuto

We reformulate the matrix models of minimal superstrings as loop gas models on random surfaces. In the continuum limit, this leads to the identification of minimal superstrings with certain bosonic string theories, to all orders in the…

高能物理 - 理论 · 物理学 2009-11-10 Davide Gaiotto , Leonardo Rastelli , Tadashi Takayanagi

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields…

高能物理 - 理论 · 物理学 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

A simple recursive expansion algorithm for the integrals of tree level superstring five point amplitudes in a flat background is given which reduces the expansion to simple symbol(ic) manipulations. This approach can be used for instance to…

高能物理 - 理论 · 物理学 2015-06-15 Rutger H. Boels

We describe a pure spinor BRST cohomology framework to compactly represent ten-dimensional one-loop amplitudes involving any number of massless open- and closed-string states. The method of previous work to construct scalar and vectorial…

高能物理 - 理论 · 物理学 2014-08-18 Carlos R. Mafra , Oliver Schlotterer

Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the…

高能物理 - 理论 · 物理学 2018-01-17 Ashoke Sen

We find explicit expression for the one-loop four-graviton amplitude in eleven-dimensional supergravity compactified on a circle. Represented in terms of the string coupling (related to the compactification radius) it takes the form of an…

高能物理 - 理论 · 物理学 2009-09-17 J. Russo , A. A. Tseytlin

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

高能物理 - 理论 · 物理学 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

The overall coefficient of the two-loop 4-particle amplitude in superstring theory is determined by making use of the factorization and unitarity. To accomplish this we computed in detail all the relevant tree and one-loop amplitudes…

高能物理 - 理论 · 物理学 2009-11-11 Zhi-Guang Xiao , Chuan-Jie Zhu

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…

高能物理 - 理论 · 物理学 2025-08-27 Pinaki Banerjee , Lorenz Eberhardt , Sebastian Mizera