368 citations · 2.3k across the 134 of their papers we have counts for
8 papers · 1 filter
Spectral boundary conditions and solitonic solutions in a classical Sellmeier dielectric
F. Belgiorno, S. L. Cacciatori, A. Viganò
Electromagnetic field interactions in a dielectric medium represent a longstanding field of investigation, both at the classical level and at the quantum one. We propose a 1+1 dime…
One-Dimensional Super Calabi-Yau Manifolds and their Mirrors
Simone Noja, Sergio Luigi Cacciatori, Francesco Dalla Piazza +2
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY's having reduced manifo…
Duality invariance in Fayet-Iliopoulos gauged supergravity
Sergio L. Cacciatori, Dietmar Klemm, Marco Rabbiosi
We propose a geometric method to study the residual symmetries in , Fayet-Iliopoulos (FI) gauged supergravity. It essentially involves the stabilization of…
Stimulated emission and Hawking radiation in black hole analogues
F. Belgiorno, S. L. Cacciatori
Stimulated emission by black holes is discussed in light of the analogue gravity program. We first consider initial quantum states containing a definite number of particles, and th…
Numerical study of a recent black hole lasing experiment
M. Tettamanti, S. L. Cacciatori, A. Parola +1
We theoretically analyse a recent experiment reporting the observation of a self-amplifying Hawking radiation in a flowing atomic condensate [J.Steinhauer, Nature Physics, vol.10,…
Tunneling method for Hawking radiation in the Nariai case
F. Belgiorno, S. L. Cacciatori, F. Dalla Piazza
We revisit the tunneling picture for the Hawking effect in light of the charged Nariai manifold, because this general relativistic solution, which displays two horizons, provides t…
Hurewicz fibrations, almost submetries and critical points of smooth maps
S. L. Cacciatori, S. Pigola
We prove that the existence of a Hurewicz fibration between certain spaces with the homotopy type of a CW-complex implies some topological restrictions on their universal coverings…
Path integral quantization of the relativistic Hopfield model
F. Belgiorno, S. L. Cacciatori, F. Dalla Piazza +1
The path integral quantization method is applied to a relativistically covariant version of the Hopfield model, which represents a very interesting mesoscopic framework for the des…