4 papers
Jacobi sigma models
Francesco Bascone, Franco Pezzella, Patrizia Vitale
We introduce a two-dimensional sigma model associated with a Jacobi manifold. The model is a generalisation of a Poisson sigma model providing a topological open string theory. In…
On critical properties of Berry curvature in Kitaev honeycomb model
Francesco Bascone, Luca Leonforte, Davide Valenti +2
We analyse the Kitaev honeycomb model, by means of the Berry curvature with respect to Hamiltonian parameters. We concentrate on the ground-state vortex-free sector, which allows u…
T-Duality and Doubling of the Isotropic Rigid Rotator
Francesco Bascone, Vincenzo Emilio Marotta, Franco Pezzella +1
After reviewing some of the fundamental aspects of Drinfel'd doubles and Poisson-Lie T-duality, we describe the three-dimensional isotropic rigid rotator on star…
Finite temperature geometric properties of the Kitaev honeycomb model
Francesco Bascone, Luca Leonforte, Bernardo Spagnolo +2
We study finite temperature topological phase transitions of the Kitaev's spin honeycomb model in the vortex-free sector with the use of the recently introduced mean Uhlmann curvat…