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The one-loop correction to eleven-dimensional supergravity involves a cubically divergent term $t_8t_8R^4$, with four Riemann tensors. A similar term (with finite coefficient) has been argued to be present in the M-theory effective action.…

High Energy Physics - Theory · Physics 2026-03-04 Aviral Aggarwal , Subhroneel Chakrabarti , Steven Weilong Hsia , Ahmed Rakin Kamal , Linus Wulff

We present the technical tools needed to compute any one-loop amplitude involving external spacetime fermions in a four-dimensional heterotic string model a` la Kawai-Lewellen-Tye. As an example, we compute the one-loop three-point…

High Energy Physics - Theory · Physics 2009-10-28 A. Pasquinucci , K. Roland

In this work, we compute the one-loop four-graviton amplitudes with a massive abelian vector field (Proca) circulating in the loop. Instead of the conventional Einstein-Hilbert formulation, we employ the Landau-Lifshitz metric density…

High Energy Physics - Theory · Physics 2025-10-31 Cristhiam Lopez-Arcos

In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes. This is achieved by studying special linear combinations…

Number Theory · Mathematics 2020-04-30 Don Zagier , Federico Zerbini

We consider the on-shell amplitudes in N=(1,1) SYM in D=6 dimensions within the spinor helicity and on-shell superspace formalism. This leads to an effective and straightforward technique reducing the calculation to a set of scalar master…

High Energy Physics - Theory · Physics 2015-06-16 L. V. Bork , D. I. Kazakov , D. E. Vlasenko

We compute the two-point open string and closed string amplitudes at tree level and show that, in a 't Hooft-like limit, they take a form structurally analogous to boundary-to-boundary transition amplitudes of a scalar field in Euclidean…

High Energy Physics - Theory · Physics 2025-07-09 Pongwit Srisangyingcharoen , Jongruk Pukdee

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that…

High Energy Physics - Theory · Physics 2010-02-03 Kazumi Okuyama , Li-Sheng Tseng

We derive the masses acquired at one loop by massless scalars in the Neumann-Dirichlet sector of open strings, when supersymmetry is spontaneously broken. It is done by computing two-point functions of "boundary-changing vertex operators"…

High Energy Physics - Theory · Physics 2022-01-05 Thibaut Coudarchet , Hervé Partouche

We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the…

High Energy Physics - Theory · Physics 2009-11-11 Ido Adam , Pietro Antonio Grassi , Luca Mazzucato , Yaron Oz , Shimon Yankielowicz

We analyze open and mixed sector tree-level amplitudes of N=2 strings in a space-time with (2,2) signature, in the presence of constant B field. The expected topological nature of string amplitudes in the open sector is shown to impose…

High Energy Physics - Theory · Physics 2010-02-03 Alok Kumar , Aalok Misra , Kamal Lochan Panigrahi

We show that the one loop amplitudes of open and closed string theory in a constant background two-form tensor field are characterized by an effective string tension larger than the fundamental string tension, and by the appearance of…

High Energy Physics - Theory · Physics 2009-10-31 Shyamoli Chaudhuri , Eric G. Novak

In the framework of the compactified closed bosonic string theory with the extra spatial coordinates being circular with radius $R$, we perform both the zero-slope limit and the $R \rightarrow 0$ limit of the tree scattering amplitude of…

High Energy Physics - Theory · Physics 2010-11-01 Raffaele Marotta , Franco Pezzella

A ten-dimensional super-Poincare covariant formalism for the superstring was recently developed which involves a BRST operator constructed from superspace matter variables and a pure spinor ghost variable. A super-Poincare covariant…

High Energy Physics - Theory · Physics 2010-04-06 Nathan Berkovits

We study non-planar correlators in ${\cal N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point…

High Energy Physics - Theory · Physics 2019-01-01 Luis F. Alday

We report on recent progress in the use of string techniques for the computation of field theory amplitudes. We show how one-loop renormalization constants in Yang-Mills theory can be computed using the open spinning string, we review the…

High Energy Physics - Theory · Physics 2007-05-23 P. Di Vecchia , L. Magnea , R. Marotta , A. Lerda , R. Russo

Most of the massive states in superstring theory are expected to undergo mass renormalization at one loop order. Typically these corrections should contain imaginary parts, indicating that the states are unstable against decay into lighter…

High Energy Physics - Theory · Physics 2016-07-25 Ashoke Sen

We explain and illustrate how to compute string-loop amplitudes in Calabi-Yau orientifold compactification in the large volume limit with the help of the patch-by-patch description of string field theory. We compute the one-loop partition…

High Energy Physics - Theory · Physics 2026-01-15 Manki Kim

In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to the computation of one-loop elastic amplitudes. We consider 1+1 dimensional massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic…

High Energy Physics - Theory · Physics 2024-03-08 Matheus Fabri , Davide Polvara

We calculate tree level scattering amplitudes for open strings using the NSR formalism. We present a streamlined symmetry-based and pedagogical approach to the computations, which we first develop by checking two-, three-, and four-point…

High Energy Physics - Theory · Physics 2016-08-22 Katrin Becker , Melanie Becker , Ilarion V. Melnikov , Daniel Robbins , Andrew B. Royston

We compute the anomalous two-loop four-point amplitudes in N=4 pure supergravity, using unitarity and the double-copy construction. We also present all terms determined by four-dimensional cuts in two all-multiplicity two-loop anomalous…

High Energy Physics - Theory · Physics 2020-04-07 Zvi Bern , David Kosower , Julio Parra-Martinez