39 citations · 135 across the 15 of their papers we have counts for
15 papers
Standard Model and 4-groups
Aleksandar Mikovic, Marko Vojinovic
We show that a categorical generalization of the the Poincaré symmetry which is based on the n-crossed modules becomes natural and simple when n=3 and that the corresponding 3-form…
Hamiltonian analysis of the BFCG formulation of General Relativity
Aleksandar Mikovic, Miguel A. Oliveira, Marko Vojinovic
We perform the complete Hamiltonian analysis of the BFCG action for General Relativity. We determine all the constraints of the theory and classify them into the first-class and th…
Quantum gravity for piecewise flat spacetimes
Aleksandar Mikovic, Marko Vojinovic
We describe a theory of quantum gravity which is based on the assumption that the spacetime structure at small distances is given by a piecewise linear (PL) 4-manifold correspondin…
Hamiltonian analysis of the BFCG theory for a strict Lie 2-group
Aleksandar Mikovic, Miguel Angelo Oliveira, Marko Vojinovic
We perform a complete Hamiltonian analysis of the BFCG action for a general Lie 2-group by using the Dirac procedure. We show that the resulting dynamical constraints eliminate all…
Categorical generalization of spinfoam models
Aleksandar Mikovic, Marko Vojinovic
We give a brief review of the problem of quantum gravity. After the discussion of the nonrenormalizability of general relativity, we briefly mention the main research directions wh…
Hamiltonian analysis of the BFCG theory for the Poincare 2-group
Aleksandar Mikovic, Miguel A. Oliveira, Marko Vojinovic
We perform the full Hamiltonian analysis of the topological BFCG action based on the Poincare 2-group. The Hamiltonian of the theory is constructed, and the algebra of constraints…