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We develop a pure spinor worldline formalism for computing tree-level scattering amplitudes in 11D supergravity. Focusing first on the 4-point amplitude, we demonstrate that our prescription is consistent with BRST symmetry and gauge…

High Energy Physics - Theory · Physics 2025-12-11 Max Guillen , Marcelo dos Santos , Eggon Viana

This article reviews the non-perturbative structure of certain higher derivative terms in the type II string theory effective action and their connection to one-loop effects in eleven-dimensional supergravity compactified on a torus. New…

High Energy Physics - Theory · Physics 2009-10-30 Michael B. Green

We provide a prescription for computing two-point tree amplitudes in the pure spinor formalism that are finite and agree with the corresponding expression in the field theories. In [arXiv:1906.06051v1-arXiv:1909.03672v3], same results were…

High Energy Physics - Theory · Physics 2025-01-15 Sitender Pratap Kashyap

In a previous article we have shown the existence of a new independent R^4 term, at one loop, in the type IIA and heterotic effective actions, after reduction to four dimensions, besides the usual square of the Bel-Robinson tensor. It had…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Moura

In this paper we revisit Berkovits' pure spinor formalism in lower dimensions. We are particularly interested in relating a six-dimensional pure spinor action previously constructed in the literature to other superstring formalisms. In…

High Energy Physics - Theory · Physics 2014-11-20 Sebastian Gerigk , Ingo Kirsch

We compute the one-loop beta function for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields on-shell. In this…

High Energy Physics - Theory · Physics 2010-10-27 Oscar A. Bedoya , Osvaldo Chandia

We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity…

High Energy Physics - Theory · Physics 2018-12-05 Igor Bandos

The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint $\partial x^m (\gamma_m\lambda)_\alpha =0$ where $\lambda^\alpha$ is a d=10 pure…

High Energy Physics - Theory · Physics 2015-11-20 Nathan Berkovits

This is the first installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this first part, we exploit the…

High Energy Physics - Theory · Physics 2019-09-11 Carlos R. Mafra , Oliver Schlotterer

Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a…

Differential Geometry · Mathematics 2008-11-26 Christof Puhle

The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be…

High Energy Physics - Theory · Physics 2025-08-14 Carlos R. Mafra

The complete supersymmetric action for eleven-dimensional supergravity is presented. The action is polynomial in the scalar fermionic pure spinor superfield, and contains only a minor modification to the recently proposed three-point…

High Energy Physics - Theory · Physics 2010-12-06 Martin Cederwall

A FORM program which is used to efficiently expand in components pure spinor superfield expressions of kinematic factors is presented and comments on how it works are made. It is highly customizable using the standard features of FORM and…

High Energy Physics - Theory · Physics 2010-07-29 Carlos R. Mafra

This is an overview of the method of pure spinor superfields, written for "Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro. The main focus is on the use of the formalism in maximal supergravity on a flat background.…

High Energy Physics - Theory · Physics 2022-10-13 Martin Cederwall

Certain one-loop processes in eleven-dimensional supergravity compactified on T**2 determine exact, non-perturbative, terms in the effective action of type II string theories compactified on a circle. One example is the modular invariant…

High Energy Physics - Theory · Physics 2010-11-19 Michael B. Green , Michael Gutperle , Hwang-hyun Kwon

We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits , Carlos R. Mafra

We examine the question of the supersymmetric completion of the $R^4$ term in type IIB supergravity by using superfield methods. We show that while there is an obstruction to constructing the full action, a subset of the terms in the action…

High Energy Physics - Theory · Physics 2013-05-29 Arvind Rajaraman

We investigate the possibility of writing a manifestly supersymmetric action for 11-dimensional supergravity. The construction involves an explicit relation between the fields in the super-vielbein and the super-3-form, and uses non-minimal…

High Energy Physics - Theory · Physics 2010-03-17 Martin Cederwall

The manifestly supersymmetric pure spinor formulations of the Bagger-Lambert-Gustavsson models with N=8 supersymmetry and the Aharony-Bergman-Jafferis-Maldacena models with N=6 supersymmetry are given. The structures of the pure spinors are…

High Energy Physics - Theory · Physics 2008-11-26 Martin Cederwall

We propose a four-point effective action for the graviton, antisymmetric two-forms, dilaton and axion of type IIB superstring in ten dimensions. It is explicitly SL(2,Z)-invariant and reproduces the known tree-level results. Perturbatively,…

High Energy Physics - Theory · Physics 2008-11-26 A. Kehagias , H. Partouche