From the 1 of 8 linked papers with an AI index.
8 papers
Frozen Motion: Why Single Carrollian Scalars Cannot Propagate
Andrew James Bruce
The paper studies first‑order scalar field theories defined intrinsically on a Carrollian plane and shows that invariance under Carrollian supertranslations forces the energy densi…
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.…
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…
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 aw…
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…