Super-Poincare Covariant Quantization of the Superstring

Abstract

Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner. Quantizable non-linear sigma model actions are constructed for the superstring in curved backgrounds, including the $Ad{S}_5\times S^5$ background with Ramond-Ramond flux.

Improved proof that amplitudes are supersymmetric, simplified AdS_5 action, and corrected typos

References in corpus (2)

• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Quantization of the Type II Superstring in a Curved Six-Dimensional Background

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• Black Hole Partition Function using Hybrid Formalism of Superstrings
• Geometric counter-vertex for open string scattering on D-branes
• On novel string theories from 4d gauge theories
• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• New Superembeddings for Type II Superstrings
• Gauged Supergravities and the Physics of Extra Dimensions
• Free Differential Algebras and Pure Spinor Action in IIB Superstring Sigma Models
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Compactification of the Heterotic Pure Spinor Superstring II
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• Pure spinor superfields, with application to D=3 conformal models
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• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
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• On the BRST Cohomology of Superstrings with/without Pure Spinors
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• Superstring amplitudes meet surfaceology
• The Berkovits Method for Conformally Invariant Non-linear Sigma-models on G/H
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• Partition function of beta-gamma system on orbifolds
• Six-dimensional supermultiplets from bundles on projective spaces
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• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• Balanced Superprojective Varieties
• Quantization of the particle with a linear massless solution
• Non-topological non-commutativity in string theory
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. II
• Supertwistor description of the $AdS$ pure spinor string
• Computations of superstring amplitudes in pure spinor formalism via Cadabra
• Pure Spinor String and Generalized Geometry
• On worldsheet curvature coupling in pure spinor sigma-model
• Pure spinors in AdS and Lie algebra cohomology
• Towards the quantization of the non-relativistic D2-brane in the Pure Spinor Formalism
• Massless Chiral Supermultiplets of Higher Spins and the $\theta$-Twistor
• Lectures on Scattering Amplitudes in String Theory
• Beta-gamma system, pure spinors and Hilbert series of arc spaces
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts
• $\mathrm{D}=10$ Super-Yang-Mills Theory and Poincaré Duality in Supermanifolds
• Tension between string amplitude prescriptions with presumed spacetime supersymmetry
• Transformations of Currents in Sigma-Models with Target Space Supersymmetry
• Linearized Off-shell 4+7 Supergeometry of 11D Supergravity
• Splitting of Folded Strings in AdS_4*CP^3
• Supersymmetric Non-abelian DBI Equations from Open Pure Spinor Superstring
• Spectra of Sigma Models on Semi-Symmetric Spaces
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --
• Superstring in the pp-wave background with RR flux as a conformal field theory
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands
• Vertex Algebroids over Veronese Rings
• A Pure Spinor Twistor Description of Ambitwistor Strings
• Solution Transformations for GS String in AdS_5 x S^5 by Conserved Quantities
• The non-minimal type II pure spinor string in a curved background
• Manifest Spacetime Supersymmetry and the Superstring
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$