Covariant Quantization of the Superstring

Abstract

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless vertex operators are constructed and, for the first time, N-point tree amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner. Quantization can be generalized to curved supergravity backgrounds and the vertex operator for fluctuations around $Ad{S}_5\times S^5$ is explicitly constructed. This review is written in a self-contained manner and is based on talks given at the Fradkin Memorial Conference and Strings 2000.

Corrected reference. Talk at Fradkin Conference and Strings 2000

References in corpus (3)

• Super-Poincare Covariant Quantization of the Superstring
• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Cohomology in the Pure Spinor Formalism for the Superstring

Cited by in corpus (38)

• Bubbling AdS space and 1/2 BPS geometries
• Flux compactifications in string theory: a comprehensive review
• On stringy AdS_5 x S^5 and higher spin holography
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Light-cone Superstring in AdS Space-time
• Towards Covariant Quantization of the Supermembrane
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• On the spectrum of AdS/CFT beyond supergravity
• The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
• On Operator Mixing in N=4 SYM
• Origin of Pure Spinor Superstring
• Vertex Operators for Closed Superstrings
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• An Introduction to the Covariant Quantization of Superstrings
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Ghost constraints and the covariant quantization of the superparticle in ten dimensions
• Noncritical Superstrings in a Ramond-Ramond Background
• Relating Green-Schwarz and Extended Pure Spinor Formalisms by Similarity Transformation
• Correlation Functions in Berkovits' Pure Spinor Formulation
• Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
• Gauging Cosets
• Harmonic Superspaces from Superstrings
• Noncommutative Supersymmetric/Integrable Models and String Theory
• On covariant $\kappa -$symmetry fixing and the relation betwen the NSR string and the Type II GS superstring
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• Three-Graviton Amplitude in Berkovits-Vafa-Witten Variables
• DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
• Spinning strings in AdS_5 x S^5: A worldsheet perspective
• New Superembeddings for Type II Superstrings
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. I
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. II
• A formula for the partition function of the beta-gamma system on the cone pure spinors
• Coupling the Superstring to a D-Brane Ramond-Ramond Background
• Non decoupling ghosts in the light cone gauge
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --