• Corpus ID: 231632913

The duality covariant geometry and DSZ quantization of abelian gauge theory

  title={The duality covariant geometry and DSZ quantization of abelian gauge theory},
  author={Calin Iuliu Lazaroiu and C. S. Shahbazi},
We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of classical abelian gauge theories with general duality structure on oriented and connected Lorentzian four-manifolds (M, g) of arbitrary topology, obtaining as a result the duality-covariant geometric formulation of such theories through connections on principal bundles. We implement the DSZ condition by restricting the field strengths of the theory to those which define classes originating in the degree-two cohomology of a local… 
1 Citations

The geometry and DSZ quantization of four-dimensional supergravity

We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of four-dimensional bosonic ungauged supergravity on an oriented four-manifold M of arbitrary topology and use it to obtain its manifestly



Generalized Einstein-Scalar-Maxwell theories and locally geometric U-folds

We give the global mathematical formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields on a Lorentzian four-manifold, for the generalized situation when the

The global formulation of generalized Einstein-Scalar-Maxwell theories

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 describe the

Abelian Duality on Globally Hyperbolic Spacetimes

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger–Simons differential cohomology on the category

Topological T-duality for torus bundles with monodromy

We give a simplified definition of topological T-duality that applies to arbitrary torus bundles. The new definition does not involve Chern classes or spectral sequences, only gerbes and morphisms


The object of this paper is to study simultaneous invariants of a topological space X and of an abstract group W acting as a group of transformations on X. We assume that W also acts as a group of

Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity

We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry

Topological T-duality for general circle bundles

We extend topological T-duality to the case of general circle bundles. In this setting we prove existence and uniqueness of T-duals. We then show that T-dual spaces have isomorphic twisted

U duality and central charges in various dimensions revisited

A geometric formulation which describes extended supergravities in any dimension in the presence of electric and magnetic sources is presented. In this framework, the underlying duality symmetries of