78 citations · 303 across the 13 of their papers we have counts for
13 papers
Possible ambient kinematics
Kevin Morand
In a seminal paper, Bacry and Lévy-Leblond classified kinematical algebras, a class of Lie algebras encoding the symmetries of spacetime. Homogeneous spacetimes (infinitesimally, K…
Categories enriched over oplax monoidal categories
Thomas Basile, Damien Lejay, Kevin Morand
We define a notion of category enriched over an oplax monoidal category , extending the usual definition of category enriched over a monoidal category. Even though oplax monoida…
Identifying Riemannian singularities with regular non-Riemannian geometry
Kevin Morand, Jeong-Hyuck Park, Miok Park
Admitting non-Riemannian geometries, Double Field Theory extends the notion of spacetime beyond the Riemannian paradigm. We identify a class of singular spacetimes known in General…
A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids
Kevin Morand
Universal solutions to deformation quantization problems can be conveniently classified by the cohomology of suitable graph complexes. In particular, the deformation quantizations…
Stringy Newton Gravity with -flux
Kyoungho Cho, Kevin Morand, Jeong-Hyuck Park
A Symmetry Principle has been shown to augment unambiguously the Einstein Field Equations, promoting the whole closed-string massless NS-NS sector to stringy graviton fields. Here…
M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds
Kevin Morand
In the formulation of his celebrated Formality conjecture, M. Kontsevich introduced a universal version of the deformation theory for the Schouten algebra of polyvector fields on a…
Embedding Galilean and Carrollian geometries I. Gravitational waves
Kevin Morand
The aim of this series of papers is to generalise the ambient approach of Duval et al. regarding the embedding of Galilean and Carrollian geometries inside gravitational waves with…
Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
Zhi Lin, Xian-Jia Huang, Dan-Wei Zhang +2
Dipolar parity anomaly can be induced by spatiotemporally weak-dependent energy-momentum separation of paired Dirac points in two-dimensional Dirac semimetals. Here we reveal topol…
Classification of non-Riemannian doubled-yet-gauged spacetime
Kevin Morand, Jeong-Hyuck Park
Assuming covariant fields as the `fundamental' variables, Double Field Theory can accommodate novel geometries where a Riemannian metric cannot be defined, even l…
Connections and dynamical trajectories in generalised Newton-Cartan gravity II. An ambient perspective
Xavier Bekaert, Kevin Morand
Connections compatible with degenerate metric structures are known to possess peculiar features: on the one hand, the compatibility conditions involve restrictions on the torsion;…
Connections and dynamical trajectories in generalised Newton-Cartan gravity I. An intrinsic view
Xavier Bekaert, Kevin Morand
The "metric" structure of nonrelativistic spacetimes consists of a one-form (the absolute clock) whose kernel is endowed with a positive-definite metric. Contrarily to the relativi…
Embedding nonrelativistic physics inside a gravitational wave
Xavier Bekaert, Kevin Morand
Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimensio…
Dual Massive Gravity
Kevin Morand, Sergey N. Solodukhin
The linearized massive gravity in three dimensions, over any maximally symmetric background, is known to be presented in a self-dual form as a first order equation which encodes no…