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Related papers: Y-formalism in Pure Spinor Quantization of Superst…

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Starting with a classical action whose matter variables are a d=10 spacetime vector $x^m$ and a pure spinor $\lambda^\alpha$, the pure spinor formalism for the superstring is obtained by gauge-fixing the twistor-like constraint $\partial…

High Energy Physics - Theory · Physics 2015-05-28 Nathan Berkovits

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

Recently Berkovits has constructed a picture raised, compound field $b_B$ which is used to compute higher loop amplitudes in the pure spinor approach of superstrings. On the other hand, in the twisted and gauge fixed, superembedding…

High Energy Physics - Theory · Physics 2010-04-05 Ichiro Oda , Mario Tonin

To exhibit the possible origin of the inner complexity of the Berkovits's pure spinor approach, we consider the covariant BRST quantization of the D=11 massless superparticle (M0-brane) in its spinor moving frame or twistor-like Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 Igor A. Bandos

We study the construction of D-brane boundary states in the pure spinor formalism for the quantisation of the superstring. This is achieved both via a direct analysis of the definition of D-brane boundary states in the pure spinor conformal…

High Energy Physics - Theory · Physics 2009-11-11 Ricardo Schiappa , Niclas Wyllard

Ten dimensional supersymmetric Yang-Mills theory may be described, in the light-cone gauge, in terms of either a vector or spinor superfield satisfying certain projection conditions (type I or II). These have been presented in a $ SO(9,1) $…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Vazquez-Bello

In this paper a multiparticle generalization of linearized ten-dimensional super Yang--Mills superfields is proposed. Their equations of motions are shown to take the same form as in the single-particle case, supplemented by contact terms.…

High Energy Physics - Theory · Physics 2014-08-07 Carlos R. Mafra , Oliver Schlotterer

The character of holomorphic functions on the space of pure spinors in ten, eleven and twelve dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits , Nikita Nekrasov

We develop a framework for systematic study of symmetry transformations of sigma-model currents in a special situation, when symmetries have a well-defined projection onto the target space. We then apply this formalism to pure spinor…

High Energy Physics - Theory · Physics 2024-04-11 Vinicius Bernardes , Andrei Mikhailov , Eggon Viana

We examine the possibility of constructing analytical solutions describing marginal deformations in the open superstring field theory that is based on the non-minimal pure-spinor formalism. It is found out that some methods used for…

High Energy Physics - Theory · Physics 2013-07-10 Michael Kroyter

A simplified pure spinor superstring $b$ ghost in a curved heterotic background was constructed recently. The $b$ ghost is a composite operator and it is not holomorphic. However, it satisfies $\bar\partial b = [ Q , \Omega ]$, where $Q$ is…

High Energy Physics - Theory · Physics 2016-05-04 Thiago Fleury

Although the AdS_5xS^5 worldsheet action is not quadratic, some features of the pure spinor formalism are simpler in an AdS_5xS^5 background than in a flat background. The BRST operator acts geometrically, the left and right-moving pure…

High Energy Physics - Theory · Physics 2009-09-28 Nathan Berkovits

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

On-shell supergravity vertex operators in an $AdS_5\times S^5$ background are described in the pure spinor formalism by the zero mode cohomology of a BRST operator. After expanding the pure spinor BRST operator in terms of the $AdS_5$…

High Energy Physics - Theory · Physics 2015-06-12 Nathan Berkovits , Thiago Fleury

We present a method for introducing and analysing higher-derivative deformations of maximally supersymmetric field theories. Such terms are built in the pure spinor superfield framework, using a set of operators representing physical…

High Energy Physics - Theory · Physics 2015-05-30 Martin Cederwall , Anna Karlsson

In this paper the pure spinor formalism is used to obtain a compact expression for the superstring N-point disk amplitude. The color ordered string amplitude is given by a sum over (N-3)! super Yang-Mills subamplitudes multiplied by…

High Energy Physics - Theory · Physics 2011-06-15 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger

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

An attempt is made to apply the pure spinor formalism to the non-relativistic IIA D2-brane. The fermionic constraints corresponding to the rescaled fermionic coordinates are given. Two commuting spinor fields are introduced, each one…

High Energy Physics - Theory · Physics 2019-06-06 A. Herrera-Aguilar , J. E. Paschalis

We show how the space spinor formalism for 2-component spinors can be used to construct estimates for spinor fields satisfying first order equations. We discuss the connection of the approach presented in this article with other strategies…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Mariem Magdy , Juan A. Valiente Kroon

We consider the first order formalism in string theory, providing a new off-shell description of the nontrivial backgrounds around an "infinite metric". The OPE of the vertex operators, corresponding to the background fields in some…

High Energy Physics - Theory · Physics 2008-11-26 Andrei S. Losev , Andrei Marshakov , Anton M. Zeitlin