368 citations · 2.3k across the 134 of their papers we have counts for
5 papers · 1 filter
On the Euler angles for SU(N)
S. Bertini, S. L. Cacciatori, B. L. Cerchiai
In this paper we reconsider the problem of the Euler parametrization for the unitary groups. After constructing the generic group element in terms of generalized angles, we compute…
Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
Sergio L. Cacciatori, Marco M. Caldarelli, Alex Giacomini +2
We consider various models of three-dimensional gravity with torsion or nonmetricity (metric affine gravity), and show that they can be written as Chern-Simons theories with suitab…
A simple parametrization for G2
Sergio L. Cacciatori
We give a simple parametrization of the group, which is consistent with the structure of as a SU(3) fibration. We also explicitly compute the (bi)invariant measure, whi…
Euler angles for G2
Sergio L. Cacciatori, Bianca L. Cerchiai, Alberto Della Vedova +2
We provide a simple parametrization for the group G2, which is analogous to the Euler parametrization for SU(2). We show how to obtain the general element of the group in a form em…
Plane waves from double extended spacetimes
S. L. Cacciatori, G. Ortenzi, S. Penati
We study exact string backgrounds (WZW models) generated by nonsemisimple algebras which are obtained as double extensions of generic D--dimensional semisimple algebras. We prove t…