Explaining Pure Spinor Superspace

Abstract

In the pure spinor formalism for the superstring and supermembrane, supersymmetric invariants are constructed by integrating over five $\theta$'s in d=10 and over nine $\theta$'s in d=11. This pure spinor superspace is easily explained using the superform (or ''ectoplasm'') method developed by Gates and collaborators, and generalizes the standard chiral superspace in d=4. The ectoplasm method is also useful for constructing d=10 and d=11 supersymmetric invariants in curved supergravity backgrounds.

Added footnote and references to work of P.S. Howe

References in corpus (7)

• Super-Poincare Covariant Quantization of the Superstring
• Pure Spinor Formalism as an N=2 Topological String
• Towards Covariant Quantization of the Supermembrane
• On Brane Actions and Superembeddings
• Codimension zero superembeddings
• Pure Spinors, Free Differential Algebras, and the Supermembrane
• N=2 Harmonic Superforms, Multiplets and Actions

Cited by in corpus (15)

• The closed-string 3-loop amplitude and S-duality
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Algorithmic construction of SYM multiparticle superfields in the BCJ gauge
• Cohomology foundations of one-loop amplitudes in pure spinor superspace
• Superforms in Simple Six-dimensional Superspace
• Free Differential Algebras, Rheonomy, and Pure Spinors
• Ectoplasm & Superspace Integration Measure for 2D Supergravity with Four Spinorial Supercurrents
• On pure spinor formalism for quantum superstring and spinor moving frame
• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands