368 citations · 2.3k across the 134 of their papers we have counts for
10 papers · 1 filter
Multi-Centered Invariants, Plethysm and Grassmannians
Sergio L. Cacciatori, Alessio Marrani, Bert van Geemen
Motivated by multi-centered black hole solutions of Maxwell-Einstein theories of (super)gravity in D=4 space-time dimensions, we develop some general methods, that can be used to d…
Soliton-induced relativistic-scattering and amplification
E. Rubino, A. Lotti, F. Belgiorno +4
Solitons are of fundamental importance in photonics due to applications in optical data transmission and also as a tool for investigating novel phenomena ranging from light generat…
Squaring the Magic
Sergio L. Cacciatori, Bianca L. Cerchiai, Alessio Marrani
We construct and classify all possible Magic Squares (MS's) related to Euclidean or Lorentzian rank-3 simple Jordan algebras, both on normed division algebras and split composition…
A simple E8 construction
S. L. Cacciatori, F. Dalla Piazza, A. Scotti
In this short letter we conclude our program, started in [J. Math. Phys. 46 (2005) 083512], of building up explicit generalized Euler angle parameterizations for all exceptional co…
Compact Lie groups: Euler constructions and generalized Dyson conjecture
S. L. Cacciatori, F. Dalla Piazza, A. Scotti
A generalized Euler parameterization of a compact Lie group is a way for parameterizing the group starting from a maximal Lie subgroup, which allows a simple characterization of th…
Adams-Iwasawa N=8 Black Holes
Sergio Luigi Cacciatori, Bianca Letizia Cerchiai, Alessio Marrani
We study some of the properties of the geometry of the exceptional Lie group E7(7), which describes the U-duality of the N=8, d=4 supergravity. In particular, based on a symplectic…
On the Scalar Manifold of Exceptional Supergravity
Sergio L. Cacciatori, Bianca L. Cerchiai, Alessio Marrani
We construct two parametrizations of the non compact exceptional Lie group G=E7(-25), based on a fibration which has the maximal compact subgroup K=(E6 x U(1))/Z_3 as a fiber. It i…
The E^3/Z3 orbifold, mirror symmetry, and Hodge structures of Calabi-Yau type
Sergio Luigi Cacciatori, Sara Angela Filippini
Starting from the Kähler moduli space of the rigid orbifold Z=E^3/\mathbb{Z}_3 one would expect for the cohomology of the generalized mirror to be a Hodge structure of Calabi-Yau t…
Emission of correlated photon pairs from superluminal perturbations in dispersive media
Francesco Dalla Piazza, Francesco Belgiorno, Sergio Luigi Cacciatori +1
We develop a perturbative theory that describes a superluminal refractive perturbation propagating in a dispersive medium and the subsequent excitation of the quantum vacuum zero-p…
Magic Coset Decompositions
Sergio L. Cacciatori, Bianca Letizia Cerchiai, Alessio Marrani
By exploiting a "mixed" non-symmetric Freudenthal-Rozenfeld-Tits magic square, two types of coset decompositions are analyzed for the non-compact special Kähler symmetric rank-3 co…