2012/02/02 by Sebastian Guttenberg
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Black Holes and Theoretical Physics #Computer science #Context (archaeology) #Geometry #Homogeneous space #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Projection (relational algebra) #Pure mathematics #Pure spinor #Quantum Chromodynamics and Particle Interactions #Space (punctuation) #Spinor #String (physics) #Superstring theory #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1142/9789814412551_0014
9 pages
arxiv created 2012/02/02 · openalex publication_date 2012/12/01 · arxiv updated 2017/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This article is based on a talk given at the Memorial Conference for Maximilian Kreuzer at the ESI in Vienna and contains a compact summary of a recent collaboration with P.A. Grassi. A non-linear projection from the space of SO(10) Weyl spinors to the space of pure spinors is presented together with some of its particular properties. This projection can be used to remove the constraints from Berkovits' pure spinor superstring while introducing additional gauge symmetries. This should allow to make transitions to equivalent formulations which might shed light on the origin of the pure spinor ghosts. It might also be useful in the context of path integral measures for the pure spinor string.