6 papers
Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes
Alejandro Gil-GarcÃa, C. S. Shahbazi
We develop the differential theory of complex spinorial forms associated with irreducible complex spinors across all dimensions and signatures. This framework enables the study of…
The algebraic square of an irreducible complex spinor
Alejandro Gil-GarcÃa, C. S. Shahbazi
We characterize, in every dimension and signature, the algebraic squares of an irreducible complex spinor as a pair of exterior forms satisfying a prescribed system of algebraic re…
The local moduli space of the Einstein-Yang-Mills system
Severin Bunk, Vicente Muñoz, C. S. Shahbazi
We study the deformation theory of the Einstein-Yang-Mills system on a principal bundle with a compact structure group over a compact manifold. We first construct, as an applicatio…
Parallel spinors for and isotropic structures
Alejandro Gil-GarcÃa, C. S. Shahbazi
We obtain a correspondence between irreducible real parallel spinors on pseudo-Riemannian manifolds of signature and solutions of an associated differential system…
A functional for Spin(7) forms
Calin Iuliu Lazaroiu, C. S. Shahbazi
We characterize the set of all conformal Spin(7) forms on an oriented and spin Riemannian eight-manifold as solutions to a homogeneous algebraic equation of degree two for…
Differential spinors and Kundt three-manifolds with skew-torsion
C. S. Shahbazi
We develop the theory of spinorial polyforms associated with bundles of irreducible Clifford modules of non-simple real type, obtaining a precise characterization of the square of…