The Character of Pure Spinors

Abstract

The character of holomorphic functions on the space of pure spinors in ten, eleven and twelve dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure spinor formalism for the superstring. We also derive in a simple way the zero momentum cohomology of the pure spinor BRST operator for the D=10 and D=11 superparticle.

42 pages, 2 pictures

References in corpus (12)

• Super-Poincare Covariant Quantization of the Superstring
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• ABCD of instantons
• Covariant Quantization of the Superparticle Using Pure Spinors
• Towards Covariant Quantization of the Supermembrane
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Spinorial cohomology and maximally supersymmetric theories
• Covariant One-Loop Amplitudes in D=11
• On maximally supersymmetric Yang-Mills theories
• A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring
• Higher-Dimensional Twistor Transforms using Pure Spinors
• Ghost constraints and the covariant quantization of the superparticle in ten dimensions

Cited by in corpus (31)

• The gauge structure of generalised diffeomorphisms
• The closed-string 3-loop amplitude and S-duality
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Black-Hole Attractors in N=1 Supergravity
• Towards a manifestly supersymmetric action for 11-dimensional supergravity
• Superalgebras, constraints and partition functions
• Symmetries of massless vertex operators in AdS(5) x S(5)
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• Quantum Field Theory as Effective BV Theory from Chern-Simons
• BRST quantization of the pure spinor superstring
• Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories
• The geometry of pure spinor space
• Non-Critical Pure Spinor Superstrings
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• Hidden exceptional symmetry in the pure spinor superstring
• SL(5) supersymmetry
• DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
• Supergravities and Branes from Hilbert-Poincaré Series
• Grassmannian Sigma Models
• Compactification of the Heterotic Pure Spinor Superstring II
• Y-Formalism and Curved Beta-Gamma Systems
• On Spinors and Null Vectors
• The Berkovits Method for Conformally Invariant Non-linear Sigma-models on G/H
• The Derived Pure Spinor Formalism as an Equivalence of Categories
• Partition function of beta-gamma system on orbifolds
• BV Formalism and Partition Functions
• Beta-gamma system, pure spinors and Hilbert series of arc spaces