Origin of Pure Spinor Superstring

Abstract

The pure spinor formalism for the superstring, initiated by N. Berkovits, is derived at the fully quantum level starting from a fundamental reparametrization invariant and super-Poincare invariant worldsheet action. It is a simple extension of the Green-Schwarz action with doubled spinor degrees of freedom with a compensating local supersymmetry on top of the conventional kappa-symmetry. Equivalence to the Green-Schwarz formalism is manifest from the outset. The use of free fields in the pure spinor formalism is justified from the first principle. The basic idea works also for the superparticle in 11 dimensions.

21 pages, no figure; v2: refs. added

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Cited by in corpus (41)

• Pure Spinor Formalism as an N=2 Topological String
• R^4, purified
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Pure spinor superfields -- an overview
• Pure Spinor Superspace Identities for Massless Four-point Kinematic Factors
• Tree-level amplitudes from the pure spinor superstring
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Explaining the Pure Spinor Formalism for the Superstring
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Superstrings in AdS
• GGI Lectures on the Pure Spinor Formalism of the Superstring
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Lower-dimensional pure-spinor superstrings
• Dynamical twisting and the b ghost in the pure spinor formalism
• Quantum Field Theory as Effective BV Theory from Chern-Simons
• BRST quantization of the pure spinor superstring
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• D-Brane Boundary States in the Pure Spinor Superstring
• Pure Spinors, Free Differential Algebras, and the Supermembrane
• Superstring in the plane-wave background with RR flux as a conformal field theory
• Worldline Approach of Topological BF Theory
• BRST Anomaly and Superspace Constraints of the Pure Spinor Heterotic String in a Curved Background
• Superstrings in General Backgrounds
• Non-Critical Pure Spinor Superstrings
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• On Projections to the Pure Spinor Space
• Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane
• D-branes from Pure Spinor Superstring in AdS_5 x S^5 Background
• Light-cone Gauge NSR Strings in Noncritical Dimensions II -- Ramond Sector
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Complex Geometry and Supergeometry
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• A Projection to the Pure Spinor Space
• Computations of superstring amplitudes in pure spinor formalism via Cadabra
• 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