1 citations · 1 across the 9 of their papers we have counts for
9 papers
Go Fishing with Alice: Compatible Carrollian and Poisson Structures
Andrew James Bruce
We introduce, motivated by noncommutative Carrollian geometry, the notion of a Carrollian--Poisson bundle understood as a Carrollian manifold with a compatible Poisson structure. C…
The Carrollian Superplane and Supersymmetry
Andrew James Bruce
This note provides an intrinsic construction of the Carrollian superplane as a supermanifold generalisation of the Carrollian plane. Moving awa…
Frozen Motion: Why Single Carrollian Scalars Cannot Propagate
Andrew James Bruce
We investigate a class of first-order scalar field theories minimally coupled to a Carrollian connection that are defined intrinsically on the Carrollian plane, i.e., the theories…
Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs
Andrew James Bruce
Carrollian manifolds offer an intrinsic geometric framework for the physics in the ultra-relativistic limit. The recently introduced Carrollian Lie algebroids are generalised to th…
Carrollian Lie Algebroids: Taming Singular Carrollian Geometries
Andrew James Bruce
Developments in Carrollian gravity and holography necessitate the use of singular Carroll vector fields, a feature that cannot be accommodated within standard Carrollian geometry.…
On a Grassmann odd analogue of Carrollian Manifolds
Andrew James Bruce
We define a Grassmann odd analogue of a Carrollian manifold as a supermanifold of dimension with an even degenerate metric such that the kernel is generated by a non-singular…
Carrollian -bundles III: The Hodge Star and Hodge--de Rham Laplacians
Andrew James Bruce
Carrollian -bundles () offer a novel perspective on intrinsic Carrollian geometry using the powerful tools of pri…
Carrollian -bundles II: Sigma Models on Event Horizons
Andrew James Bruce
Carrollian field theories are usually understood as limits of relativistic theories. In this note, we use Carrollian -bundles equipped with a principal connectio…
Carrollian -bundles: Connections and Beyond
Andrew James Bruce
We propose an approach to Carrollian geometry using principal -bundles ($\mathbb{R}^\times := \matthbb{R} \setminus \{0\}$) equipped with a degenerate metric who…