12 papers
General Properties of the Thermo-Metric for CV event manifolds and the magnetization combinatorial scheme
Pietro Fre, Alexander S. Sorin, Mario Trigiante
Following previous results recently obtained by us, on Information Geometry versus Geometrical Thermodynamics and on the exact calculation of partition functions for extended Souri…
The paint group Tits Satake theory of hyperbolic symmetric spaces: the distance function, paint invariants and discrete subgroups
Ugo Bruzzo, Pietro Fré, Mario Trigiante
The present paper, which is partially a review, but also contains several completely new results, aims at presenting, in a unified mathematical framework, a complex and articulated…
The macroscopic Kaehler metric of Geometric Thermodynamics versus the microscopic one on the Event Manifold: Exact Partition Functions on CV manifolds. Extended Souriau temperatures and spontaneous magnetizations
Pietro Fré, Alexander S. Sorin, Mario Trigiante
In this paper we clarify the relation between Geometric Thermodynamics and Information Geometry based on the Fisher matrix. On the macroscopic odd-dimensional contact manifold of t…
Thermodynamics a la Souriau on Kähler Non Compact Symmetric Spaces for Cartan Neural Networks
Pietro G. Fré, Alexander S. Sorin, Mario Trigiante
In this paper, we clarify several issues concerning the abstract geometrical formulation of thermodynamics on non compact symmetric spaces that are the mathematical…
Deforming in Type IIB Supergravity
Stefano Maurelli, Ruggero Noris, Marcelo Oyarzo +1
We discuss some new results on the construction of supersymmetric solutions of Type IIB supergravity of the form , and ${\rm…
Consistent Truncations from Duality Symmetries and Desingularization of Orbifold Uplifts
Anik Rudra, Colin Sterckx, Mario Trigiante
This paper is an extension of the results presented in \cite{Guarino:2024gke}. We study -invariant subsectors of maximal gauged supergravities and show that such models can p…