Fisica Matematica e Modelli per le Applicazioni
Mathematical Physics and Models for Applications
Componenti
- Cermelli Paolo (Componente)
- Colombo Edoardo (Assegnista)
- Crisafio Matteo Kevin (Dottorando)
- Dimitrov Vasil Radoslavov (Assegnista)
- Fatibene Lorenzo (Coordinatore Scientifico)
- Ferraris Marco (Componente)
- Fontanarossa Alessio (Dottorando)
- Indelicato Giuliana (Componente esterno)
- Inglese Matteo (Dottorando)
- Magnano Guido (Componente)
- Martelli Dario (Componente)
- Nieri Fabrizio (Componente)
- Ortenzi Giovanni (Componente)
- Palese Marcella (Responsabile)
- Pittelli Antonio (Assegnista)
- Ruggiero Matteo Luca (Componente)
- Winterroth Ekkehart Hans Konrad (Componente esterno)
Settore ERC
Attività
Il gruppo comprende diverse linee di ricerca in fisica matematica pertinenti allo studio di strutture matematiche emergenti dalla fisica teorica fondamentale e applicazioni interdisciplinari. Tra gli interessi dei membri del gruppo ci sono: le strutture matematiche globali della meccanica e delle teorie di campo, in particolare delle teorie relativistiche; il calcolo delle variazioni su fibrati e relative leggi di conservazione; le strutture geometriche su varietà Riemanniane o pseudo-Riemanniane, derivanti dalla teoria delle stringhe e la corrispondenza olografica (AdS/CFT); metodi di fisica-matematica per lo studio di teorie supersimmetriche (ad esempio localizzazione); aspetti geometrico-algebrici e qualitativi delle equazioni differenziali di interesse fisico, biologico ed evoluzionistico.
Linee di ricerca:
- Meccanica analitica, sistemi dinamici e complessi: Simmetrie e separazione delle variabili per le equazioni della fisica matematica.
- Metodi geometrici e globali in fisica matematica: Teorie relativistiche. Leggi di conservazione ed entropia delle soluzioni singolari della gravitazione. Applicazioni alle teorie estese della gravitazione e alla cosmologia. Metodi geometrici per quantum gravity.
- Strutture geometriche emergenti dalla teoria delle stringhe e dalla supergravità. Risultati esatti nella corrispondenza AdS/CFT. Metodi matematici per lo studio non-perturbativo di teorie di campo supersimmetriche.
- Sequenze variazionali, coomologia e problemi inversi in calcolo delle variazioni. Aspetti fondazionali. Strutture di contatto, connessioni di Cartan, Campi di Higgs, integrabilità ed applicazioni in Neurogeometry.
- Modellizzazione dei processi di risposta e valutazione dei test a risposta multipla in campo educativo-psicometrico.
- Teoria evoluzionistica dei giochi e delle reti; Cambiamenti di conformazione e stabilita' di strutture biologiche complesse.
Progetti
- Strutture geometriche e algebriche in fisica matematica e applicazioni (2020)
- Workstation per il calcolo a supporto della ricerca
- Memory in Evolving Graphs
- Application driven Markov and non Markov models
- Metodi Geometrici in Fisica Matematica e Applicazioni
- Metodi Geometrici in Fisica Matematica e Applicazioni
- Strutture geometriche e algebriche in fisica matematica e applicazioni
- Strutture geometriche e algebriche in fisica matematica e applicazioni (2022)
Prodotti della ricerca
L.Fatibene, M.Francaviglia
Equivalence Principle, Higgs Boson and Cosmology
http://hdl.handle.net/2318/137146
M.Francaviglia, L.Fatibene
The Structures of Spacetime Geometry
http://hdl.handle.net/2318/137145
Lorenzo Fatibene,Marco Ferraris,Mauro Francaviglia,Guido Magnano
Extended Theories of Gravitation - Observation Protocols and Experimental Tests
http://hdl.handle.net/2318/146045
Lorenzo Fatibene,Marco Ferraris,Mauro Francaviglia,Guido Magnano
Extended Theories of Gravitation - Structure of Spacetime and Fundamental Principles of Physics, following Ehlers-Pirani-Schild Framework
http://hdl.handle.net/2318/146046
Francaviglia M., Palese M., Winterroth E.
Variationally equivalent problems and variations of Noether currents
http://hdl.handle.net/2318/117861
Palese M.
Towers with skeletons for the (2+1)-dimensional continuous isotropic Heisenberg spin model
http://hdl.handle.net/2318/122431
M. Palese, E. Winterroth
Higgs fields on spinor gauge-natural bundles
http://hdl.handle.net/2318/129863
Francaviglia M., Palese M., Winterroth E.
Field equations or conservation laws?
http://hdl.handle.net/2318/139027
M. Francaviglia, M. Palese, E. Winterroth
Cohomological obstructions in locally variational field theories
https://arxiv.org/abs/1310.1691
C. M. Chanu, L. Degiovanni, G. Rastelli
Extensions of Hamiltonian systems dependent on a rational parameter
http://hdl.handle.net/2318/151222
G.Polles , G. Indelicato, R. Potestio, P. Cermelli, R. Twarock, C. Micheletti
Mechanical and assembly units of viral capsids identified via quasi-rigid domain decomposition
http://hdl.handle.net/2318/140532
P. Cermelli, G. Indelicato, R. Twarock
Nonicosahedral pathways for capsid expansion
http://hdl.handle.net/2318/138275
E. Zappa,G. Indelicato,A. Albano,P. Cermelli
A Ginzburg?Landau model for the expansion of a dodecahedral viral capsid
http://hdl.handle.net/2318/136366
L Fatibene, M Ferraris, G Magnano, M Palese, M Capone, S Garruto, S Mercadante, Winterroth E , (2014)
Higgs-like Field from Extended Theory of Gravitation,
https://iris.unito.it/handle/2318/150286
Marcella Palese, Ekkehart Winterroth (2014)
Generalized symmetries generating Noether currents and canonical conserved quantities.
https://iris.unito.it/handle/2318/153761
Lorenzo Fatibene, Simon Garruto (2014)
Extended gravity.
https://iris.unito.it/handle/2318/150334
Andrzej Borowiec, Jerzy Lukierski, Anna Pachol (2014)
Twisting and ?-Poincaré.
https://iris.unito.it/handle/2318/158263
Marija Dimitrijevic, Larisa Jonke, Anna Pachol (2014)
Gauge Theory on Twisted ?-Minkowski: Old Problems and Possible Solutions.
https://iris.unito.it/handle/2318/158260
Andrzej Borowiec, Anna Pachol (2014)
?-Deformations and Extended ?-Minkowski Spacetimes.
https://iris.unito.it/handle/2318/158269
C M Chanu, L Degiovanni, G Rastelli (2014)
The Tremblay-Turbiner-Winternitz system as extended Hamiltonian.
https://iris.unito.it/handle/2318/152332
C Chanu, L Degiovanni, G Rastelli (2014)
Extensions of Hamiltonian systems dependent on a rational parameter.
https://iris.unito.it/handle/2318/152163
M L Tonon (2014)
Second-order stress relations for hyperelastic constrained materials.
https://iris.unito.it/handle/2318/147906
M L Tonon (2014)
On the three stress tensors for linearly elastic constrained materials.
https://iris.unito.it/handle/2318/143099
Paolo Cermelli, Giuliana Indelicato, Reidun Twarock (2014)
The Role of Symmetry in Conformational Changes of Viral Capsids: A Mathematical Approach.
https://iris.unito.it/handle/2318/144068
Mana, Annalisa, Fatibene, Lorenzo, Ferraris, Marco (2015)
A further study on Palatini f(R)-theories for polytropic stars.
https://iris.unito.it/handle/2318/1543163
Chanu Claudia Maria, Degiovanni Luca, Rastelli Giovanni (2015)
Warped product of Hamiltonians and extensions of Hamiltonian systems.
https://iris.unito.it/handle/2318/1526662
Chanu, Claudia Maria, Degiovanni, Luca, Rastelli, Giovanni (2015)
Extended hamiltonians, coupling-constant metamorphosis and the Post?Winternitz system.
https://iris.unito.it/handle/2318/1548760
M Campigotto, L Fatibene, (2015)
The gauge natural structure of conformal theory of gravity.
https://iris.unito.it/handle/2318/154750
L Fatibene, R G McLenaghan, G Rastelli, (2015)
Symmetry operators and separation of variables for Dirac's equation on two-dimensional spin manifolds with external fields.
https://iris.unito.it/handle/2318/154795
Salthouse, D G, Indelicato, G , Cermelli, P , Keef, T , Twarock, R (2015)
Approximation of virus structure by icosahedral tilings.
https://iris.unito.it/handle/2318/1526508
Castellano, Sergio, Cermelli, Paolo (2015)
Preys? exploitation of predators? fear: when the caterpillar plays the Gruffalo.
https://iris.unito.it/handle/2318/1531260
Capozziello, Salvatore, De Laurentis, Mariafelicia F , Fatibene, Lorenzo, Ferraris, Marco, Garruto, Simon (2016)
Extended cosmologies.
https://iris.unito.it/handle/2318/1621199
Magnano, Guido (2016)
Nonlinear Gravitational Lagrangians revisited.
https://iris.unito.it/handle/2318/1621837
Francesco, Cattafi, Marcella, Palese, Ekkehart, Winterroth (2016)
Variational derivatives in locally Lagrangian field theories and Noether--Bessel-Hagen currents.
https://iris.unito.it/handle/2318/1551849
Palese, Marcella (2016)
Algebraic structures generating reaction-diffusion models: the activator-substrate system.
https://iris.unito.it/handle/2318/1554350
Palese, M , Rossi, O , Winterroth, E , Musilova, J (2016)
Variational sequences, representation sequences and applications in physics.
https://iris.unito.it/handle/2318/1551848
Palese, Marcella, Winterroth, Ekkehart Hans Konrad (2016)
Classical Higgs fields on gauge gluon bundles.
https://iris.unito.it/handle/2318/1632358
Marcella, Palese (2016)
Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents.
https://iris.unito.it/handle/2318/1632360
Salvatore, Capozziello, Mariafelicia De Laurentis,, Lorenzo, Fatibene, Marco, Ferraris, Marcella, Palese, Ekkehart, Winterroth (2016)
Variational Principles and Conservation Laws in General Relativity.
https://iris.unito.it/handle/2318/1654247
Tonon, M L (2016) Constrained Linearly Elastic Materials Reinforced by two Families of Fibres.
https://iris.unito.it/handle/2318/1560844
Chanu, Claudia Maria, Degiovanni, Luca, Rastelli, Giovanni (2017)
Modified Laplace-Beltrami quantization of natural Hamiltonian systems with quadratic constants of motion.
https://iris.unito.it/handle/2318/1635180
Chanu, Claudia Maria, Rastelli, Giovanni (2017)
Extended Hamiltonians and shift, ladder functions and operators.
https://iris.unito.it/handle/2318/1654826
Marcella, Palese, Ekkehart, Winterroth (2017)
Topological obstructions in Lagrangian field theories, with an application to 3D Chern-Simons gauge theory.
https://iris.unito.it/handle/2318/1612101
Accornero, Luca, Palese, Marcella (2017)
Higher variations, conservation laws, and the Jacobi equations for Yang--Mills Lagrangians on a Minkowskian background.
https://iris.unito.it/handle/2318/1650375
Chanu, Claudia Maria; Rastelli, Giovanni: Block-separation of variables: a form of partial separation for natural Hamiltonians. SIGMA Symmetry Integrability Geom. Methods Appl. 15 (2019), Paper No. 013, 22 pp.
Del Vecchio, L , Fatibene, L , Capozziello, S , Ferraris, M , Pinto, P , Camera, S (2019)
Hubble drift in Palatini f(R) theories.
https://iris.unito.it/handle/2318/1688775
Pinto, P , Vecchio, L Del, Fatibene, L , Ferraris, M (2018)
Extended cosmology in Palatini f(R)-theories.
https://iris.unito.it/handle/2318/1685286
Magnano, Guido, Meissner, Krzysztof A , Sokołowski, Leszek M (2019)
Test-field limit of metric nonlinear gravity theories.
https://iris.unito.it/handle/2318/1707956
Alejandro Cabo-Bizet, Davide Cassani, Dario Martelli, Sameer Murthy (2019)
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes.
https://iris.unito.it/handle/2318/1713944
Gauntlett J P , Martelli D , Sparks J (2019)
Toric geometry and the dual of c-extremization.
https://iris.unito.it/handle/2318/1713685
Couzens C , Gauntlett J P , Martelli D , Sparks J (2019)
A geometric dual of c-extremization.
https://iris.unito.it/handle/2318/1713689
Cabo-Bizet A , Cassani D , Martelli D , Murthy S (2019)
The asymptotic growth of states of the 4d N=1 superconformal index.
https://iris.unito.it/handle/2318/1713649
Jerome P Gauntlett, Dario Martelli, James Sparks (2019)
Toric geometry and the dual of I-extremization.
https://iris.unito.it/handle/2318/1713650
Couzens C , Martelli D , Schafer-Nameki S (2018)
F-theory and AdS3/CFT2 (2,0).
https://iris.unito.it/handle/2318/1713780
Lawrie C , Martelli D , Schafer-Nameki S (2018)
Theories of class F and anomalies.
https://iris.unito.it/handle/2318/1713774
Franchetti, G (2019)Harmonic forms and spinors on the Taub-bolt space.
https://iris.unito.it/handle/2318/1695125
Franchetti, Guido (2018)
Harmonic spinors on a family of Einstein manifolds.
https://iris.unito.it/handle/2318/1668413
Marcella Palese, Ekkehart Winterroth (2019)
Higgs fields induced by Yang-Mills type Lagrangians on gauge-natural prolongations of principal bundles.
https://iris.unito.it/handle/2318/1688219
Palese, Marcella, Winterroth, Ekkehart Hans Konrad (2018)
Noether theorems and reality of motion.
https://iris.unito.it/handle/2318/1551850
Skrypnyk, T (2019)
Classical r-matrices, “elliptic” BCS and Gaudin-type hamiltonians and spectral problem.
https://iris.unito.it/handle/2318/1703139
Skrypnyk, T (2019)
“Symmetric” separation of variables for the Clebsch system.
https://iris.unito.it/handle/2318/1703133
Skrypnyk, T (2018)
Reduction in soliton hierarchies and special points of classicalr-matrices.
https://iris.unito.it/handle/2318/1703146
Skrypnyk T (2018)
Separation of Variables in the Anisotropic Shottky–Frahm Model.
https://iris.unito.it/handle/2318/1703148
Chanu C M , Rastelli G (2020)
On the extended-hamiltonian structure of certain superintegrable systems on constant-curvature riemannian and pseudo-riemannian surfaces.
https://iris.unito.it/handle/2318/1770905
Chanu C M , Rastelli G (2020)
Extensions of nonnatural Hamiltonians.
https://iris.unito.it/handle/2318/1770970
Braides, Andrea, Cermelli, Paolo, Dovetta, Simone (2020)
gamma-limit of the cut functional on dense graph sequences.
https://iris.unito.it/handle/2318/1705423
Indelicato, Giuliana, Cermelli, Paolo, Twarock, Reidun (2020)
Surface stresses in complex viral capsids and non-quasi-equivalent viral architectures.
https://iris.unito.it/handle/2318/1766313
Bonino A , Camera S , Fatibene L , Orizzonte A (2020)
Solar System tests in Brans–Dicke and Palatini f(R) -theories.
https://iris.unito.it/handle/2318/1768469
Capozziello S , Chiappini A , Fatibene L , Orizzonte A (2020)
The generally covariant meaning of space distances.
https://iris.unito.it/handle/2318/1768475
Carloni S , Fatibene L , Ferraris M , McLenaghan R G , Pinto P (2020)
Discrete relativistic positioning systems.
https://iris.unito.it/handle/2318/1762938
Magnano Guido, Perissinotto Alessandro (2020)
Chi è Johann Sebastian Mastropiero?
https://iris.unito.it/handle/2318/1766484
Magnano, Guido, Skrypnyk, Taras (2020)
New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains.
https://iris.unito.it/handle/2318/1740225
Alejandro Cabo-Bizet, Davide Cassani, Dario Martelli, Sameer Murthy (2020)
The large-N limit of the 4d N=1 superconformal index.
https://iris.unito.it/handle/2318/1763417
Pietro Ferrero, Jerome P Gauntlett, Juan Manuel Pérez Ipiña, Dario Martelli, James Sparks (2020)
D3-branes wrapped on a spindle.
https://iris.unito.it/handle/2318/1783133
Marcella Palese, Olga Rossi, Fabrizio Zanello (2020)
Geometric integration by parts and Lepage equivalents.
https://iris.unito.it/handle/2318/1761012
Accornero, Luca, Palese, Marcella (2020)
The Jacobi morphism and the Hessian in higher order field theory; with applications to a Yang-Mills theory on a Minkowskian background.
https://iris.unito.it/handle/2318/1650375
Marcella Palese, Ekkehart Winterroth (2020)
Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system.
https://iris.unito.it/handle/2318/1736190
Accornero, Luca, Palese, Marcella (2021)
Symmetry transformations of extremals and higher conserved quantities: invariant Yang-Mills connections.
https://iris.unito.it/handle/2318/1783532