21 citations · 35 across the 6 of their papers we have counts for
6 papers
Ribbon operators in the Semidual lattice code model
Fred Soglohu, Prince K. Osei, Abdulmajid Osumanu
In this work, we provide a rigorous definition of ribbon operators in the Semidual Kitaev lattice model and study their properties. These operators are essential for understanding…
Electromagnetic duality and central charge from first order formulation
Marc Geiller, Puttarak Jai-akson, Abdulmajid Osumanu +1
In the context of the infrared triangle there have been recent discussions on the existence and the role of dual charges. We present a new viewpoint on dual magnetic charges in …
Canonical transformations generated by the boundary volume: Unimodular and non-Abelian teleparallel gravity
Florian Girelli, Abdulmajid Osumanu, Wolfgang Wieland
Recently, a new choice of variables was identified to understand how the quantum group structure appeared in three-dimensional gravity [1]. These variables are introduced via a can…
Origin of the quantum group symmetry in 3d quantum gravity
Maïté Dupuis, Laurent Freidel, Florian Girelli +2
It is well-known that quantum groups are relevant to describe the quantum regime of 3d gravity. They encode a deformation of the gauge symmetries parametrized by the value of the c…
First-order formulation of teleparallel gravity and dual loop gravity
Maïté Dupuis, Florian Girelli, Abdulmajid Osumanu +1
There are at least two ways to encode gravity into geometry: Einstein's general theory of relativity (GR) for the metric tensor, and teleparallel gravity, where torsion as opposed…
Semidual Kitaev lattice model and tensor network representation
Florian Girelli, Prince K. Osei, Abdulmajid Osumanu
Kitaev's lattice models are usually defined as representations of the Drinfeld quantum double , as an example of a double cross product quantum group…