Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Waldron, Andrew"'
Assuming the extrinsic $Q$-curvature admits a decomposition into the Pfaffian, a scalar conformal submanifold invariant, and a tangential divergence, we prove that the renormalized area of an even-dimensional minimal submanifold of a Poincar\'e-Einst
Externí odkaz:
http://arxiv.org/abs/2403.16710
On conformally compact manifolds we study Yang-Mills equations, their boundary conditions, formal asymptotics, and Dirichlet-to-Neumann maps. We find that smooth solutions with "magnetic" Dirichlet boundary data are obstructed by a conformally invari
Externí odkaz:
http://arxiv.org/abs/2311.11458
We formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and canonically incorporates laboratories. The latter a
Externí odkaz:
http://arxiv.org/abs/2311.05711
Publikováno v:
Phys. Rev. Lett. 133, 011401 2024
We develop the mathematics needed to treat the interaction of geometry and stress at any isotropic spacetime singularity. This enables us to handle the Einstein equations at the initial singularity and characterize allowed general relativistic stress
Externí odkaz:
http://arxiv.org/abs/2310.19269
We study the non-linear Dirichlet-to-Neumann map for the Poincar\'e-Einstein filling problem. For even dimensional manifolds we describe the range of this non-local map in terms of a natural rank two tensor along the boundary determined by the Poinca
Externí odkaz:
http://arxiv.org/abs/2307.08470
Over forty years ago, Paneitz, and independently Fradkin and Tseytlin, discovered a fourth-order conformally-invariant differential operator, intrinsically defined on a conformal manifold, mapping scalars to scalars. This operator is a special case o
Externí odkaz:
http://arxiv.org/abs/2111.00179
An important problem is to determine under which circumstances a metric on a conformally compact manifold is conformal to a Poincar\'e--Einstein metric. Such conformal rescalings are in general obstructed by conformal invariants of the boundary hyper
Externí odkaz:
http://arxiv.org/abs/2107.10381
We construct a dynamical quantization for contact manifolds in terms of a flat connection acting on a Hilbert tractor bundle. We show that this contact quantization, which is independent of the choice of contact form, can be obtained by quantizing th
Externí odkaz:
http://arxiv.org/abs/2103.16645
Publikováno v:
Phys. Rev. D 103, 105021 (2021)
The problem of computing quantum mechanical propagators can be recast as a computation of a Wilson line operator for parallel transport by a flat connection acting on a vector bundle of wavefunctions. In this picture the base manifold is an odd dimen
Externí odkaz:
http://arxiv.org/abs/2012.15260