59 citations · 554 across the 58 of their papers we have counts for
26 papers · 1 filter
Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes
Alejandro Gil-García, 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-García, 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…
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…
Parallel spinors for and isotropic structures
Alejandro Gil-García, 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…
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…
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…
The Heterotic-Ricci flow and its three-dimensional solitons
Andrei Moroianu, Ángel J. Murcia, C. S. Shahbazi
We introduce a novel curvature flow, the Heterotic-Ricci flow, as the two-loop renormalization group flow of the Heterotic string common sector and study its three-dimensional comp…
Higher Geometric Structures on Manifolds and the Gauge Theory of Deligne Cohomology
Severin Bunk, C. S. Shahbazi
We study smooth higher symmetry groups and moduli -stacks of generic higher geometric structures on manifolds. Symmetries are automorphisms which cover non-trivial diffeomo…
Supersymmetric Kundt four manifolds and their spinorial evolution flows
Ángel Murcia, C. S. Shahbazi
We investigate the differential geometry and topology of four-dimensional Lorentzian manifolds equipped with a real Killing spinor , where is def…
Parallel spinor flows on three-dimensional Cauchy hypersurfaces
Ángel Murcia, C. S. Shahbazi
The three-dimensional parallel spinor flow is the evolution flow defined by a parallel spinor on a globally hyperbolic Lorentzian four-manifold. We prove that, despite the fact tha…
The duality covariant geometry and DSZ quantization of abelian gauge theory
C. Lazaroiu, C. S. Shahbazi
We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of classical abelian gauge theories with general duality structure on oriented Lorentzian four-manifolds of arbi…
Heterotic solitons on four-manifolds
Andrei Moroianu, Ángel Murcia, C. S. Shahbazi
We investigate four-dimensional Heterotic solitons, defined as a particular class of solutions of the equations of motion of Heterotic supergravity on a four-manifold . Heteroti…
The geometry and DSZ quantization of four-dimensional supergravity
C. I. Lazaroiu, C. S. Shahbazi
We implement the Dirac-Schwinger-Zwanziger integrality condition on four-dimensional classical ungauged supergravity and use it to obtain its duality-covariant, gauge-theoretic, di…
Parallel spinors on globally hyperbolic Lorentzian four-manifolds
Ángel Murcia, C. S. Shahbazi
We investigate the differential geometry and topology of globally hyperbolic four-manifolds admitting a parallel real spinor . Using the theory of parabolic pa…
Four-dimensional geometric supergravity and electromagnetic duality: a brief guide for mathematicians
C. I. Lazaroiu, C. S. Shahbazi
We give a gentle introduction to the global geometric formulation of the bosonic sector of four-dimensional supergravity on an oriented four-manifold of arbitrary topology, pro…
Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity
Ángel Murcia, C. S. Shahbazi
We introduce the notion of -Einstein -contact metric three-manifold, which includes as particular cases -Einstein Riemannian and Lorentzian (par…
Spinors of real type as polyforms and the generalized Killing equation
Vicente Cortés, Calin Lazaroiu, C. S. Shahbazi
We develop a new framework for the study of generalized Killing spinors, where generalized Killing spinor equations, possibly with constraints, can be formulated equivalently as sy…
Dirac operators on real spinor bundles of complex type
C. I. Lazaroiu, C. S. Shahbazi
Let be a pseudo-Riemannian manifold of signature . We compute the obstruction for a vector bundle over to admit a Dirac operator whose principal symbol i…
Canonical metrics on holomorphic Courant algebroids
Mario Garcia-Fernandez, Roberto Rubio, C. S. Shahbazi +1
The solution of the Calabi Conjecture by Yau implies that every Kähler Calabi-Yau manifold admits a metric with holonomy contained in , and that these metrics a…
Complex Lipschitz structures and bundles of complex Clifford modules
C. Lazaroiu, C. S. Shahbazi
Let be a pseudo-Riemannian manifold of signature . We construct mutually quasi-inverse equivalences between the groupoid of bundles of weakly-faithful complex Cliffo…
Orientability of the moduli space of Spin(7)-instantons
Vicente Muñoz, C. S. Shahbazi
Let be a closed -dimensional manifold equipped with a generically non-integrable -structure . We prove that if $\mathrm{Hom}(H^{3}(M,\mathbb{Z}), \m…
Transversality for the moduli space of Spin(7)-instantons
Vicente Muñoz, C. S. Shahbazi
We construct the moduli space of Spin(7)-instantons on a hermitian complex vector bundle over a closed 8-dimensional manifold endowed with a (possibly non-integrable) Spin(7)-struc…
The global formulation of generalized Einstein-Scalar-Maxwell theories
C. Lazaroiu, C. S. Shahbazi
We summarize the global geometric formulation of Einstein-Scalar-Maxwell theories twisted by flat symplectic vector bundle which encodes the duality structure of the theory. We des…
Real pinor bundles and real Lipschitz structures
Calin Iuliu Lazaroiu, C. S. Shahbazi
We obtain the topological obstructions to existence of a bundle of irreducible real Clifford modules over a pseudo-Riemannian manifold of arbitrary dimension and signature…