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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…

High Energy Physics - Theory · Physics 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

Perturbative spectra and related factorization properties of one-loop open string amplitudes in the presence of a constant external background B are analysed in detail. While the pattern of the closed string spectrum, obtained after a…

High Energy Physics - Theory · Physics 2009-11-10 A. Bassetto , A. Torrielli , R. Valandro

Using BRST cohomology properties in pure spinor superspace and identities for OPE brackets of non-free fields, we obtain a new compact nested-bracket representation of massive tree-level three-point open-string amplitudes in which Moebius…

High Energy Physics - Theory · Physics 2026-04-02 Chen Huang , Carlos R. Mafra , Yi-Xiao Tao

In this work we report on recent progress in the calculation of open superstring scattering amplitudes, at tree level, with more than four external massless states. We also report on the corresponding terms in the low energy effective…

High Energy Physics - Theory · Physics 2008-11-26 L. A. Barreiro , R. Medina

We study closed string one-loop amplitudes in string theory, in particular the average mass shift for states at given mass and Neveu-Schwarz charges. Our analysis is based only on well-defined string amplitudes and the exploitation of…

High Energy Physics - Theory · Physics 2015-05-13 Diego Chialva

The N-point amplitudes for the Type II and Heterotic superstrings at two-loop order and for $N \leq 4$ massless NS bosons are evaluated explicitly from first principles, using the method of projection onto super period matrices introduced…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , D. H. Phong

In phenomenological models with D-branes, there are in general open-string massless scalar fields, in addition to closed-string massless moduli fields corresponding to the compactification. It is interesting to focus on the fate of such…

High Energy Physics - Theory · Physics 2010-02-03 Noriaki Kitazawa

We analyze quartic gauge-invariant interactions of massless higher spin fields by using vertex operators constructed in our previous works and computing their four-point amplitudes in superstring theory. The kinematic part of the quartic…

High Energy Physics - Theory · Physics 2011-02-18 Dimitri Polyakov

We study open and closed string amplitudes at tree-level in string perturbation theory using the methods of single-valued integration which were developed in the prequel to this paper. Using dihedral coordinates on the moduli spaces of…

Number Theory · Mathematics 2023-02-23 Francis Brown , Clément Dupont

After constructing a simplified four-dimensional version of the b ghost, topological multiloop amplitudes in type II superstring theory compactified on a six-dimensional orbifold are computed using the non-minimal pure spinor formalism.…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Berkovits , Luis Alberto Ypanaqué

Exact Superstring solutions are constructed moving in 4-D space-time with positive curvature and non-trivial dilaton and antisymmetric tensor fields. The full spectrum of string excitations is derived as a function of moduli fields $T^{i}$…

High Energy Physics - Theory · Physics 2016-09-06 Elias Kiritsis , Costas Kounnas

We develop calculational tools to determine higher loop superstring correlators involving massless fermionic and spin fields in four space time dimensions. These correlation functions are basic ingredients for the calculation of loop…

High Energy Physics - Theory · Physics 2010-11-05 Oliver Schlotterer

We derive a massive double copy construction within string theory. To this end, we use massive vectors of the open string spectrum that appear in compactifications to four dimensions and construct massive spin-2 tensors as closed string…

High Energy Physics - Theory · Physics 2023-09-25 Dieter Lust , Chrysoula Markou , Pouria Mazloumi , Stephan Stieberger

We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a…

High Energy Physics - Theory · Physics 2009-11-10 B. Sathiapalan

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…

High Energy Physics - Theory · Physics 2014-08-18 Carlos R. Mafra , Oliver Schlotterer

The one-loop four-graviton amplitude in either of the type II superstring theories is expanded in powers of the external momenta up to and including terms of order s^4 log s R^4, where R^4 denotes a specific contraction of four linearized…

High Energy Physics - Theory · Physics 2009-10-31 Michael B. Green , Pierre Vanhove

We establish a connection between tree-level superamplitudes in ABJM theory and leading singularities associated to special three-particle cuts of one-loop superamplitudes where one of the tree amplitudes entering the cut is a four-point…

High Energy Physics - Theory · Physics 2017-08-23 Andreas Brandhuber , Gabriele Travaglini , Congkao Wen

We study string corrections to one-loop amplitudes of single-particle operators ${\cal O}_p$ in $AdS_5 \times S^5$. The tree-level correlators in supergravity enjoy an accidental 10d conformal symmetry. Consequently, one observes a partial…

High Energy Physics - Theory · Physics 2023-03-01 F. Aprile , J. M. Drummond , R. Glew , M. Santagata

We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is…

High Energy Physics - Theory · Physics 2011-09-22 David C. Dunbar , James H. Ettle , Warren B. Perkins

In this paper we continue our investigation of superstring scattering amplitudes in the conformal basis. We focus on the case of four graviton scattering processes at 1-loop in \emph{closed} superstring theory. We write the expression for…

High Energy Physics - Theory · Physics 2025-04-28 Anthonny F. Canazas Garay , Gaston Giribet , Yoel Parra-Cisterna , Francisco Rojas
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