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We study the relation between the kappa-symmetric formulation of the supermembrane in eleven dimensions and the pure-spinor version. Recently, Berkovits related the Green-Schwarz and pure-spinor superstrings. In this paper, we attempt to…

High Energy Physics - Theory · Physics 2008-11-26 Mirela Babalic , Niclas Wyllard

After adding an RNS-like fermionic vector \psi^m to the pure spinor formalism, the non-minimal b ghost takes a simple form similar to the pure spinor BRST operator. The N=2 superconformal field theory generated by the b ghost and the BRST…

High Energy Physics - Theory · Physics 2015-06-15 Nathan Berkovits

In the framework of the Sen conjectures a construction of vacuum superstring field theory on a non-BPS brane is discussed. A distinguished feature of this theory is a presence of a ghost kinetic operator mixing GSO+/- sectors. A candidate…

High Energy Physics - Theory · Physics 2009-11-07 I. Ya. Aref'eva , D. M. Belov , A. A. Giryavets

The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is presented. Descent equations for primary superfields of the matter sector are derived. We find one copy of the cohomology at ghost number one, two independent…

High Energy Physics - Theory · Physics 2009-10-22 Amit Giveon , Martin Rocek

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

We present a systematic analysis on coherent states of composite bosons consisting of two distinguishable particles. By defining an effective composite boson (coboson) annihilation operator, we derive its eigenstate and commutator.…

Quantum Physics · Physics 2013-12-06 Su-Yong Lee , Jayne Thompson , Pawel Kurzynski , Akihito Soeda , Dagomir Kaszlikowski

We derive a massive double copy construction within string theory. To this end, we use massive vectors of the open string spectrum that appear in compactifications to four dimensions and construct massive spin-2 tensors as closed string…

High Energy Physics - Theory · Physics 2023-09-25 Dieter Lust , Chrysoula Markou , Pouria Mazloumi , Stephan Stieberger

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

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

First, we diagonalize the bc-ghost 3-string Neumann matrices using the technique described in hep-th/0304158. Their eigenvalues are in complete agreement with the previous authors. Second, we diagonalize the N-string gluing vertices for the…

High Energy Physics - Theory · Physics 2009-11-10 D. M. Belov

After constructing a simplified four-dimensional version of the b ghost, topological multiloop amplitudes in type II superstring theory compactified on a six-dimensional orbifold are computed using the non-minimal pure spinor formalism.…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Berkovits , Luis Alberto Ypanaqué

We study the non-minimal pure spinor string in a curved background. We find that the minimal BRST invariance implies the existence of a non-trivial stress-energy tensor for the minimal and non-minimal variables in the heterotic curved…

High Energy Physics - Theory · Physics 2015-06-18 Osvaldo Chandia

We construct a manifestly SO(4) x SO(4) invariant, supersymmetric extension of the closed string cubic interaction vertex and dynamical supercharges in light-cone string field theory on the plane wave space-time. We find that the effective…

High Energy Physics - Theory · Physics 2009-11-10 Ari Pankiewicz

We construct complete sets of (open and closed string) covariant coherent state and mass eigenstate vertex operators in bosonic string theory. By minimally extending the standard definition of coherent states so as to include the string…

High Energy Physics - Theory · Physics 2011-07-05 Dimitri Skliros , Mark Hindmarsh

Every composition of two strictly singular operators is compact on the Baernstein space $B_p$ for $1 < p < \infty$ and on the $p$-convexified Schreier space $S_{p}$ for $1 \leq p < \infty$. Furthermore, every subsymmetric basic sequence in…

Functional Analysis · Mathematics 2025-09-11 Niels Jakob Laustsen , JamesSmith

The pure spinor superstring in a type II curved background is considered. In order to define reparametrization ghosts, non-minimal pure spinor variables have to be present in the formalism. The BRST transformations of the non-minimal…

High Energy Physics - Theory · Physics 2019-10-30 Osvaldo Chandia

In a previous paper, the BRST cohomology in the pure spinor formalism of the superstring was shown to coincide with the light-cone Green-Schwarz spectrum by using an SO(8) parameterization of the pure spinor. In this paper, the SO(9,1)…

High Energy Physics - Theory · Physics 2016-09-06 Nathan Berkovits , Osvaldo Chandia

We study the BPS black hole solutions of the (truncated) action for heterotic string theory compactified on a six-torus. The O(3,Z) duality symmetry of the theory, together with the bound state interpretation of extreme black holes, is used…

High Energy Physics - Theory · Physics 2010-11-19 M. Cadoni

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

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