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Related papers: Two-Point Superstring Tree Amplitudes Using the Pu…

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We study two and three-point tree-level amplitudes of open strings. These amplitudes are reduced from higher-point correlation functions by using mostly BRST exact operators for gauge fixing. For simplicity, we focus on an open string…

High Energy Physics - Theory · Physics 2021-09-29 Shigenori Seki , Tomohiko Takahashi

A new manifestly spacetime-supersymmetric prescription for superstring amplitude computations is given using the pure spinor formalism which does not contain subtleties from poles in the pure spinor ghosts. This super-Poincare covariant…

High Energy Physics - Theory · Physics 2025-04-23 Nathan Berkovits

We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic…

High Energy Physics - Theory · Physics 2009-04-13 Carlos R. Mafra , Christian Stahn

In order to gain deeper understanding of pure-spinor-based formalisms of superstring, an explicit similarity transformation is constructed which provides operator mapping between the light-cone Green-Schwarz (LCGS) formalism and the…

High Energy Physics - Theory · Physics 2009-11-10 Yuri Aisaka , Yoichi Kazama

In these lecture notes presented at the 2015 Villa de Leyva Summer School, we give an introduction to superstring theory. We begin by studying the particle and superparticle in order to get a better understanding on the superstring side.…

High Energy Physics - Theory · Physics 2017-11-29 Nathan Berkovits , Humberto Gomez

Using pure spinors, the superstring was recently quantized in a manifestly ten-dimensional super-Poincar\'e covariant manner and a covariant prescription was given for tree-level scattering amplitudes. In this paper, we prove that this…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits , Brenno Carlini Vallilo

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

We present a derivation of the scattering amplitude prescription for the pure spinor superstring from first principles, both in the minimal and non-minimal formulations, and show that they are equivalent. This is achieved by first coupling…

High Energy Physics - Theory · Physics 2009-05-20 Joost Hoogeveen , Kostas Skenderis

We show that the pure spinor formalism proposed by Berkovits to covariantly quantize superstrings is a gauge fixed, twisted version of the complexified n=2 superembedding formulation of the superstring. This provides the Berkovits approach…

High Energy Physics - Theory · Physics 2008-11-26 Marco Matone , Luca Mazzucato , Ichiro Oda , Dmitri Sorokin , Mario Tonin

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 propose a new ``boundary'' term in free bosonic string field theory. Here, the term ``boundary'' refers to a contribution introduced to restore the cyclicity broken by the insertion of a stringy step-function operator, although it is not…

High Energy Physics - Theory · Physics 2026-05-05 Yasu Gen , Hiroaki Matsunaga , Jojiro Totsuka

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless…

High Energy Physics - Theory · Physics 2015-06-25 Nathan Berkovits

Same amplitudes evaluated independently using RNS and pure spinor formalism are expected to agree. While for massless states, this fact has been firmly established, for massive states such an explicit check has been lacking so far. We…

High Energy Physics - Theory · Physics 2018-12-26 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Mritunjay Verma

We compute the disk amplitude of three closed strings in the pure spinor formalism. Among others, this amplitude probes tree-level gravitational interactions in the presence of Dp-branes. After disentangling holomorphic and anti-holomorphic…

High Energy Physics - Theory · Physics 2023-08-09 Andreas Bischof , Michael Haack , Stephan Stieberger

The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals in pure spinor superspace. This paper explores different methods to evaluate these integrals and then…

High Energy Physics - Theory · Physics 2009-11-13 Christian Stahn

In this lectures we outline the construction of pure spinor superstrings. We consider both the open and closed pure spinor superstrings in critical and noncritical dimensions and on flat and curved target spaces with RR flux. We exhibit the…

High Energy Physics - Theory · Physics 2010-11-30 Yaron Oz

In a recent paper, the BRST formalism for the gauge-fixed N=2 twistor-string was used to calculate Green-Schwarz supersring scattering amplitudes with an arbitrary number of loops and external massless states. Although the gauge-fixing…

High Energy Physics - Theory · Physics 2011-07-19 Nathan Berkovits

We show that the two-point tree level amplitude in string theory in flat space is given by the standard free particle expression.

High Energy Physics - Theory · Physics 2019-09-04 Harold Erbin , Juan Maldacena , Dimitri Skliros

An explicit operator mapping in the form of a similarity transformation is constructed between the RNS formalism and an extension of the pure spinor formalism (to be called EPS formalism) recently proposed by the present authors. Due to the…

High Energy Physics - Theory · Physics 2009-11-10 Yuri Aisaka , Yoichi Kazama

In these proceedings, the multiloop amplitude prescription using the super-Poincare invariant pure spinor formalism for the superstring is reviewed. Unlike the RNS prescription, there is no sum over spin structures and surface terms coming…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits