Equations of motion from Cederwall's pure spinor superspace actions

Abstract

Using non-minimal pure spinor superspace, Cederwall has constructed BRST-invariant actions for $D=10$ super-Born-Infeld and $D=11$ supergravity which are quartic in the superfields. But since the superfields have explicit dependence on the non-minimal pure spinor variables, it is non-trivial to show these actions correctly describe super-Born-Infeld and supergravity. In this paper, we expand solutions to the equations of motion from Cederwall's actions to leading order around the linearized solutions and show that they correctly describe the interactions of $D=10$ super-Born-Infeld and $D=11$ supergravity.

20 pages. Added reference to paper of Chang, Lin, Wang and Yin

References in corpus (3)

• ICTP Lectures on Covariant Quantization of the Superstring
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• On the equivalence of the 11D pure spinor and Brink-Schwarz-like superparticle cohomologies

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• Exploring the geometry of supersymmetric double field theory
• Notes on the $D=11$ pure spinor superparticle
• SL(5) supersymmetry
• Components of Eleven-dimensional Supergravity with Four Off-shell Supersymmetries
• Taming the 11D pure spinor b-ghost
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Pure spinors and $D=11$ supergravity
• Linearized Off-shell 4+7 Supergeometry of 11D Supergravity