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The 11D pure spinor worldline has been proved to successfully describe the physical states of 11D supergravity in a manifestly super-Poincar\'e covariant fashion. Within this framework, the computation of scattering amplitudes requires the…

High Energy Physics - Theory · Physics 2026-01-08 Max Guillen , Marcelo dos Santos , Eggon Viana

It is shown how to sew string vertices with ghosts at tree level in order to produce new tree vertices using the Group Theoretic approach to String Theory. It is then verified the BRST invariance of the sewn vertex and shown that it has the…

High Energy Physics - Theory · Physics 2015-06-26 L. Sandoval

We present a prescription for computing the tree-level two-point amplitude of closed strings in the pure spinor superstring formalism, thereby completing the analysis of such superstring amplitudes. The construction relies on fixing the…

High Energy Physics - Theory · Physics 2025-12-30 Sitender Pratap Kashyap

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

Four-dimensional Chern-Simons (4DCS) theory is useful for understanding integrable sigma-models and constructing new ones. In this paper, we show how to derive the complete pure spinor $AdS_5\times S^5$ superstring sigma-model from 4DCS…

High Energy Physics - Theory · Physics 2024-04-23 Nathan Berkovits , Rodrigo S. Pitombo

The recently established B-RNS-GSS formalism is extended for the description of the heterotic superstring in curved backgrounds. We propose a generalized action and BRST charge defined in the small Hilbert space with the standard form of an…

High Energy Physics - Theory · Physics 2023-03-01 Nathan Berkovits , Osvaldo Chandia , Joao Gomide , Lucas N. S. Martins

We will discuss some properties of the pure spinor string on the AdS_5 x S_5 background. Using the classical Hamiltonian analysis we will show that the vertex operator for the massless state that is in the cohomology of the BRST charges…

High Energy Physics - Theory · Physics 2008-11-26 J. Kluson

We present a novel ten-dimensional description of ambitwistor strings. This formulation is based on a set of supertwistor variables involving pure spinors and a set of constraints previously introduced in the context of the $D=10$…

High Energy Physics - Theory · Physics 2020-11-04 Diego García Sepúlveda , Max Guillen

The SO(32) heterotic superstring on a Calabi-Yau manifold can spontaneously break supersymmetry at one-loop order even when it is unbroken at tree-level. It is known that calculating the supersymmetry-breaking effects in this model gives a…

High Energy Physics - Theory · Physics 2015-06-19 Nathan Berkovits , Edward Witten

The general fluctuations, in the form of vertex operators, for the type II superstring in the pure spinor formalism are considered. We review the construction of these vertex operators in flat space-time. We then review the type II…

High Energy Physics - Theory · Physics 2019-05-01 Osvaldo Chandia

A covariant map between the Ramond-Neveu-Schwarz (RNS) and pure spinor formalisms for the superstring is found which transforms the RNS and pure spinor BRST operators into each other. The key ingredient is a dynamical twisting of the ten…

High Energy Physics - Theory · Physics 2015-06-18 Nathan Berkovits

Imprints of spinor-vector dualities have been uncovered in various string constructions. They are typically induced by changing certain free general GSO phases in the underlying string partition functions. This paper shows that…

High Energy Physics - Theory · Physics 2021-06-23 A. E. Faraggi , S. Groot Nibbelink , M. Hurtado-Heredia

We study to what extent it is possible to generalise Berkovits' pure-spinor construction in d=10 to lower dimensions. Using a suitable definition of a ``pure'' spinor in d=4,6, we propose models analogous to the d=10 pure-spinor superstring…

High Energy Physics - Theory · Physics 2009-11-11 P. A. Grassi , N. Wyllard

After discussing the general form of the kinetic operator around the tachyon vacuum, we determine the specific form of the pure-ghost kinetic operator Q^ by requiring the twist invariance of the action. We obtain a novel result that the…

High Energy Physics - Theory · Physics 2010-04-05 Kazuki Ohmori

We argue validity of purely ghost kinetic operator in open string field theory from the perspective of the modern analytic method based on the $K B c$ subalgebra. A purely ghost kinetic operator is obtained as a result of gauge fixing…

High Energy Physics - Theory · Physics 2014-01-24 Syoji Zeze

We complete the construction of vacuum string field theory by proposing a canonical choice of ghost kinetic term -- a local insertion of the ghost field at the string midpoint with an infinite normalization. This choice, supported by level…

High Energy Physics - Theory · Physics 2009-09-15 Davide Gaiotto , Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

By extending the six-dimensional hybrid formalism for the superstring to include $d=6$ $\mathcal{N}=1$ superspace variables along with unconstrained bosonic ghost fields, we construct a manifestly spacetime supersymmetric vertex operator…

High Energy Physics - Theory · Physics 2025-05-27 Cassiano A. Daniel

The MiniBooNE collaboration found evidence for the existence of sterile neutrinos, at a mass scale comparable to the active left-handed neutrinos. While sterile neutrinos arise naturally in large volume string scenarios, they are more…

High Energy Physics - Theory · Physics 2018-12-31 Alon E. Faraggi

In this paper we study the pure spinor formulation of the superstring in $AdS_5\times S^5$ around point particle solutions of the classical equations of motion. As a particular example we quantize the pure spinor string in the BMN…

High Energy Physics - Theory · Physics 2015-06-19 Osvaldo Chandia , L. Ibiapina Bevilaqua , Brenno Carlini Vallilo

In the pure spinor formalism for the superstring and supermembrane, supersymmetric invariants are constructed by integrating over five $\theta$'s in d=10 and over nine $\theta$'s in d=11. This pure spinor superspace is easily explained…

High Energy Physics - Theory · Physics 2008-03-26 Nathan Berkovits
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