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Related papers: The Pure Spinor Formulation of Superstrings

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In the framework of the pure spinor approach of superstring theories, we describe the Y-formalism and use it to compute the picture raised b-field. At the end we discuss briefly the new, non-minimal formalism of Berkovits and the related…

High Energy Physics - Theory · Physics 2007-05-23 Ichiro Oda , Mario Tonin

The pure spinor formulation of superstring theory includes an interacting sector of central charge $c_{\lambda}=22$, which can be realized as a curved $\beta\gamma$ system on the cone over the orthogonal Grassmannian $\text{OG}^{+}(5,10)$.…

High Energy Physics - Theory · Physics 2020-01-15 Richard Eager , Guglielmo Lockhart , Eric Sharpe

In superstring theory spin structures are present on both the 2-dimensional worldsheet and 10-dimensional spacetime. We present a new proposal for the B-field in superstring theory and demonstrate its interaction with worldsheet spin…

High Energy Physics - Theory · Physics 2010-07-29 Jacques Distler , Daniel S. Freed , Gregory W. Moore

We study the coupling of the non-minimal ghost fields of the pure spinor superstring in general curved backgrounds. The coupling is found solving the consistent relations from the nilpotency of the non-minimal BRST charge.

High Energy Physics - Theory · Physics 2015-06-23 Osvaldo Chandia , Brenno Carlini Vallilo

Spinor fields which are covariantly constant with respect to a connection with flux are of particular interest in unified string theories and supergravity theories, as their existence is required by supersymmetry. In this paper, flows of…

Differential Geometry · Mathematics 2022-01-05 Tristan C. Collins , Duong H. Phong

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

In a previous work, we have constructed a reparametrization invariant worldsheet action from which one can derive the super-Poincare covariant pure spinor formalism for the superstring at the fully quantum level. The main idea was the…

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

We examine the surface term for the BRST transformation of the open pure spinor superstring in an AdS_5 x S^5 background. We find that the boundary condition to eliminate the surface term leads to a classification of possible configurations…

High Energy Physics - Theory · Physics 2017-01-04 Sota Hanazawa , Makoto Sakaguchi

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 describe a pure spinor BRST cohomology framework to compactly represent ten-dimensional one-loop amplitudes involving any number of massless open- and closed-string states. The method of previous work to construct scalar and vectorial…

High Energy Physics - Theory · Physics 2014-08-18 Carlos R. Mafra , Oliver Schlotterer

Ever since its birth, up until its present development, the major role of string theory involves being the best candidate for the theory of quantum gravity and other species of interactions. In the present work, we would like to accomplish…

General Physics · Physics 2019-06-03 Hongsu Kim

This Ph.D. thesis investigates effective field and string theories in which supersymmetry is realized and broken in various ways. Chapter 1 addresses effective theories with nonlinearly realized supersymmetry, constructed using the…

High Energy Physics - Theory · Physics 2025-07-01 Gabriele Casagrande

We consider the pure spinor sigma model in an arbitrary curved background. The use of Hamiltonian formalism allows for a uniform description of the worldsheet fields where matter and ghosts enter the action on the same footing. This…

High Energy Physics - Theory · Physics 2019-06-14 Dennis Zavaleta

In this paper we formulate the pure spinor superstring theory on AdS_4 x CP^3. By recasting the pure spinor action as a topological A-model on the fermionic supercoset Osp(6|4)/SO(6)xSp(4) plus a BRST exact term, we prove the exactness of…

High Energy Physics - Theory · Physics 2014-11-18 Giulio Bonelli , Pietro Antonio Grassi , Houman Safaai

We derive the Free Differential Algebra for type IIA supergravity in 10 dimensions in the string frame. We provide all fermionic terms for all curvatures. We derive the Green-Schwarz sigma model for type IIA superstring based on the FDA…

High Energy Physics - Theory · Physics 2009-12-15 R. D'Auria , P. Fre' , P. A. Grassi , M. Trigiante

We discuss the structure of correlators involving the spinor emission vertex in non critical $N=1$ superstring theory. The technique used in the computation is the zero mode integration to arrive at the integral representation, and later an…

High Energy Physics - Theory · Physics 2009-10-22 D. Dalmazi , E. Abdalla

We construct multiloop superparticle amplitudes in 11d using the pure spinor formalism. We explain how this construction reduces to the superparticle limit of the multiloop pure spinor superstring amplitudes prescription. We then argue that…

High Energy Physics - Theory · Physics 2007-05-23 Pietro Antonio Grassi , Pierre Vanhove

The hybrid formalism is used to quantize the superstring compactified to two-dimensional target-space in a manifestly spacetime supersymmetric manner. A quantizable sigma model action is then constructed for the Type II superstring in…

High Energy Physics - Theory · Physics 2014-11-18 Nathan Berkovits , Sergei Gukov , Brenno Carlini Vallilo

We study a matrix version of the purely cubic open string field theory as describing the expansion around the closed string vacuum. Any D-branes in the given closed string background can appear as classical solutions by using the identity…

High Energy Physics - Theory · Physics 2009-11-07 Yutaka Matsuo

After adding a pair of non-minimal fields and performing a similarity transformation, the BRST operator in the pure spinor formalism is expressed as a conventional-looking BRST operator involving the Virasoro constraint and (b,c) ghosts,…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits