368 citations · 2.3k across the 134 of their papers we have counts for
18 papers · 1 filter
A gauge theory of complex adaptive systems
Gueorgui M. Mihaylov, Sergio L. Cacciatori
We introduce a geometric construction of a gauge field theory of a complex adaptive system. It is based on a suitable simplicial formulation of a discrete geometry that manifests r…
Uniqueness of Segal quantization for oscillating systems
Massimo Bertini, Sergio Cacciatori, Manuel Falchi Perna
We show that the Segal quantization of an arbitrary system of decoupled harmonic oscillators is unique in the sense that the one particle Hilbert space is completely determined by…
Exact quantisation of the relativistic Hopfield model
F. Belgiorno, S. L. Cacciatori, F. Dalla Piazza +1
We investigate the quantisation in the Heisenberg representation of a relativistically covariant version of the Hopfield model for dielectric media, which entails the interaction o…
Phi-Psi model for Electrodynamics in dielectric media: exact quantisation in the Heisenberg representation
F. Belgiorno, S. L. Cacciatori, F. Dala Piazza +1
We investigate the quantization in the Heisenberg representation of a model which represents a simplification of the Hopfield model for dielectric media, where the electromagnetic…
The Physical Mirror Equivalence for the Local P^2
Sergio Luigi Cacciatori, Marco Compagnoni, Stefano Guerra
In this paper we consider the total space of the canonical bundle of P^2 and we use a proposal by Hosono, together with results in Seidel and Auroux-Katzarkov-Orlov, to deduce the…
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…
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…
Quantum properties of the Dirac field on BTZ black hole backgrounds
Francesco Belgiorno, Sergio L Cacciatori, Francesco Dalla Piazza +1
We consider a Dirac field on a -dimensional uncharged BTZ black hole background. We first find out the Dirac Hamiltonian, and study its self-adjointness properties. We fin…
E7 groups from octonionic magic square
Sergio L. Cacciatori, Francesco Dalla Piazza, Antonio Scotti
In this paper we continue our program, started in [2], of building up explicit generalized Euler angle parameterizations for all exceptional compact Lie groups. Here we solve the p…
Exceptional groups, symmetric spaces and applications
Sergio L. Cacciatori, Bianca L. Cerchiai
In this article we provide a detailed description of a technique to obtain a simple parametrization for different exceptional Lie groups, such as G2, F4 and E6, based on their fibr…
On a polynomial zeta function
Sergio L. Cacciatori
We introduce a polynomial zeta function , related to certain problems of mathematical physics, and compute its value and the value of its first derivative at the ori…
Absence of Normalizable Time-periodic Solutions for The Dirac Equation in Kerr-Newman-dS Black Hole Background
Francesco Belgiorno, Sergio L. Cacciatori
We consider the Dirac equation on the background of a Kerr-Newman-de Sitter black hole. By performing variable separation, we show that there exists no time-periodic and normalizab…
The Dirac Equation in Kerr-Newman-AdS Black Hole Background
Francesco Belgiorno, Sergio L. Cacciatori
We consider the Dirac equation on the Kerr-Newman-AdS black hole background. We first perform the variable separation for the Dirac equation and define the Hamiltonian operator $\h…
Mapping the geometry of the E6 group
Fabio Bernardoni, Sergio L. Cacciatori, Bianca L. Cerchiai +1
In this paper we present a construction for the compact form of the exceptional Lie group E6 by exponentiating the corresponding Lie algebra e6, which we realize as the the sum of…
Mapping the geometry of the F4 group
Fabio Bernardoni, Sergio L. Cacciatori, Bianca L. Cerchiai +1
In this paper we present a construction of the compact form of the exceptional Lie group F4 by exponentiating the corresponding Lie algebra f4. We realize F4 as the automorphisms g…
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…
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…