Ghost constraints and the covariant quantization of the superparticle in ten dimensions

Abstract

We present a modification of the Berkovits superparticle. This is firstly in order to covariantly quantize the pure spinor ghosts, and secondly to covariantly calculate matrix elements of a generic operator between two states. We proceed by lifting the pure spinor ghost constraints and regaining them through a BRST cohomology. We are then able to perform a BRST quantization of the system in the usual way, except for some interesting subtleties. Since the pure spinor constraints are reducible, ghosts for ghosts terms are needed, which have so far been calculated up to level 4. Even without a completion of these terms, we are still able to calculate arbitrary matrix elements of a physical operator between two physical states.

38 pages, Latex, no figures. Published version

References in corpus (6)

• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Towards Covariant Quantization of the Supermembrane
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Massive Superstring Vertex Operator in D=10 Superspace
• The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
• Projection operator approach to general constrained systems

Cited by in corpus (27)

• The gauge structure of generalised diffeomorphisms
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Origin of Pure Spinor Superstring
• Vertex Operators for Closed Superstrings
• Pure spinor superfields -- an overview
• Explaining the Pure Spinor Formalism for the Superstring
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• The Character of Pure Spinors
• Y-formalism in Pure Spinor Quantization of Superstrings
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Lower-dimensional pure-spinor superstrings
• Relating Green-Schwarz and Extended Pure Spinor Formalisms by Similarity Transformation
• Partition Functions of Pure Spinors
• On the cohomology and inner products of the Berkovits superparticle and superstring
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• Pure-spinor superstrings in d=2,4,6
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• D-Brane Boundary States in the Pure Spinor Superstring
• Gauging Cosets
• On the Covariant Quantization of Type II Superstrings
• Worldline Approach of Topological BF Theory
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• SL(5) supersymmetry
• N=4 Superconformal Symmetry for the Covariant Quantum Superstring
• On Projections to the Pure Spinor Space
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --