368 citations · 2.3k across the 134 of their papers we have counts for
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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…
Quantum quenches, sonic horizons and the Hawking radiation in a class of exactly solvable models
Manuele Tettamanti, Sergio L. Cacciatori, Alberto Parola
Taking advantage of the known exact mapping of the one-dimensional Hard Core Bose (HCB) fluid onto a non-interacting spinless fermion gas, we examine in full detail a thought exper…
Concentration of measure for classical Lie groups
S. L. Cacciatori, P. Ursino
We study concentration of measure in Lie group actions. We define the notion of concentration locus of a flag sequence of Lie groups. Some examples of infinite group action on an i…
Odd characteristic classes in entire cyclic homology and equivariant loop space homology
Sergio Cacciatori, Batu Güneysu
Given a compact manifold and we construct a Chern character which lives in the odd part of the equivariant (entire) cycl…
Hyperbolic Geometry and Amplituhedra in 1+2 dimensions
Giulio Salvatori, Sergio Cacciatori
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkhani-Hamed et al. We argue that hyperbolic geometr…