11 citations · 32 across the 7 of their papers we have counts for
7 papers
A Combinatorial Origin of Locality
Laurentiu Rodina, Giuseppe Sellaroli, Yan Ni
Locality and unitarity are fundamental principles of quantum field theory. For tree-level scattering amplitudes, locality determines which propagator poles may occur together, whil…
An algorithm to reconstruct convex polyhedra from their face normals and areas
Giuseppe Sellaroli
A well-known result in the study of convex polyhedra, due to Minkowski, is that a convex polyhedron is uniquely determined (up to translation) by the directions and areas of its fa…
SO*(2N) coherent states for loop quantum gravity
Florian Girelli, Giuseppe Sellaroli
A SU(2) intertwiner with N legs can be interpreted as the quantum state of a convex polyhedron with N faces (when working in 3d). We show that the intertwiner Hilbert space carries…
Non-compact groups, tensor operators and applications to quantum gravity
Giuseppe Sellaroli
This work focuses on non-compact groups and their applications to quantum gravity, mainly through the use of tensor operators. First, the mathematical theory of tensor operators fo…
Wigner-Eckart theorem and Jordan-Schwinger representation for infinite-dimensional representations of the Lorentz group
Giuseppe Sellaroli
The Wigner-Eckart theorem is a well known result for tensor operators of SU(2) and, more generally, any compact Lie group. This paper generalises it to arbitrary Lie groups, possib…
3d Lorentzian loop quantum gravity and the spinor approach
Florian Girelli, Giuseppe Sellaroli
We consider the generalization of the "spinor approach" to the Lorentzian case, in the context of 3d loop quantum gravity with cosmological constant . The key technical tool t…
Wigner-Eckart theorem for the non-compact algebra sl(2,R)
Giuseppe Sellaroli
The Wigner-Eckart theorem is a well known result for tensor operators of su(2) and, more generally, any compact Lie algebra. In this paper the theorem will be generalized to the pa…