Pure spinor superfields -- an overview

Abstract

Maximally supersymmetric theories do not allow off-shell superspace formulations with traditional superfields containing a finite set of auxiliary fields. It has become clear that off-shell supersymmetric action formulations of such models can be achieved by the introduction of pure spinors. In this talk, an overview of this formalism is given, with emphasis on D=10 super-Yang-Mills theory and D=11 supergravity. This a somewhat expanded version of a talk presented at the workshop "Breaking of supersymmetry and ultraviolet divergences in extended supergravity" (BUDS), Laboratori Nazionali di Frascati, March 25-28, 2013.

34 pp., 2 figs., contributions to the proceedings of the workshop "Breaking of supersymmetry and ultraviolet divergences in extended supergravity" (BUDS), Laboratori Nazionali di Frascati, March 25-28, 2013

References in corpus (31)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• R^4, purified
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• 5 loops in 24/5 dimensions
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• GGI Lectures on the Pure Spinor Formalism of the Superstring
• Higher-loop amplitudes in the non-minimal pure spinor formalism
• Exceptional geometry and tensor fields
• Loop amplitudes in maximal supergravity with manifest supersymmetry
• BRST quantization of the pure spinor superstring
• Nilpotency of the b ghost in the non-minimal pure spinor formalism
• The b Ghost of the Pure Spinor Formalism is Nilpotent
• Pure Spinors, Free Differential Algebras, and the Supermembrane
• Pure Spinors and D=6 Super-Yang-Mills
• Non-gravitational exceptional supermultiplets
• Fermionic superstring loop amplitudes in the pure spinor formalism
• On Pure Spinor Superfield Formalism
• Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane
• Decoupling of unphysical states in the minimal pure spinor formalism II
• Pure spinor computation towards open string three-loop
• Pure spinor superfields, with application to D=3 conformal models
• Superstring Sigma Model Computations Using the Pure Spinor Formalism

Cited by in corpus (30)

• Tree-level amplitudes from the pure spinor superstring
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• Superalgebras, constraints and partition functions
• Double supergeometry
• Equations of motion from Cederwall's pure spinor superspace actions
• Perspectives on the pure spinor superfield formalism
• Holomorphic field theories and Calabi--Yau algebras
• Twisted characters and holomorphic symmetries
• Maximally twisted eleven-dimensional supergravity
• Twisted eleven-dimensional supergravity
• Pure spinor superspace action for D=6, N=1 super-Yang-Mills theory
• Deformations with Maximal Supersymmetries Part 1: On-shell Formulation
• An off-shell superspace reformulation of D=4, N=4 super-Yang-Mills theory
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Ultraviolet divergences in maximal supergravity from a pure spinor point of view
• SL(5) supersymmetry
• Twistors and supertwistors for exceptional field theory
• Off-shell supersymmetry via manifest invariance
• Pure spinor indications of ultraviolet finiteness in D=4 maximal supergravity
• The teleparallel complex
• Taming the 11D pure spinor b-ghost
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Unfolding $E_{11}$
• Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces
• The Derived Pure Spinor Formalism as an Equivalence of Categories
• Simultaneous T-dualization of type II pure spinor superstring
• Pure spinors and $D=11$ supergravity
• Six-dimensional supermultiplets from bundles on projective spaces
• Adjusting Higher Chern-Simons Theory
• Homotopy representations of extended holomorphic symmetry in holomorphic twists