@article{Cirafici2024,

title = {On the nonequilibrium dynamics of gravitational algebras},

author = {Michele Cirafici},

doi = {10.1088/1361-6382/ad85bf},

issn = {1361-6382},

year  = {2024},

date = {2024-12-05},

journal = {Class. Quantum Grav.},

volume = {41},

number = {23},

publisher = {IOP Publishing},

abstract = {AbstractWe explore nonequilibrium features of certain operator algebras which appear in quantum gravity. The algebra of observables in a black hole background is a TypeII∞von Neumann algebra. We discuss how this algebra can be coupled to the algebra of observable of an infinite reservoir within the canonical ensemble, aiming to induce nonequilibrium dynamics. The resulting dynamics can lead the system towards a nonequilibrium steady state which can be characterized through modular theory. Within this framework we address the definition of entropy production and its relationship to relative entropy, alongside exploring other applications.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cirafici2023,

title = {Hodge-Elliptic Genera, K3 Surfaces and Enumerative Geometry},

author = {Michele Cirafici},

doi = {10.1007/s00023-023-01375-1},

issn = {1424-0661},

journal = {Ann. Henri Poincaré},

volume = {25},

number = {5},

pages = {2731--2779},

publisher = {Springer Science and Business Media LLC},

abstract = {AbstractK3 surfaces play a prominent role in string theory and algebraic geometry. The properties of their enumerative invariants have important consequences in black hole physics and in number theory. To a K3 surface, string theory associates an Elliptic genus, a certain partition function directly related to the theory of Jacobi modular forms. A multiplicative lift of the Elliptic genus produces another modular object, an Igusa cusp form, which is the generating function of BPS invariants of$$textrm{K3} times E$$K3×E. In this note, we will discuss a refinement of this chain of ideas. The Elliptic genus can be generalized to the so-called Hodge-Elliptic genus which is then related to the counting of refined BPS states of$$textrm{K3} times E$$K3×E. We show how such BPS invariants can be computed explicitly in terms of different versions of the Hodge-Elliptic genus, sometimes in closed form, and discuss some generalizations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cirafici2017,

title = {Quivers, Line Defects and Framed BPS Invariants},

author = {Michele Cirafici},

doi = {10.1007/s00023-017-0611-0},

issn = {1424-0661},

journal = {Ann. Henri Poincaré},

volume = {19},

number = {1},

pages = {1--70},

publisher = {Springer Science and Business Media LLC},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cirafici2016,

title = {Persistent homology and string vacua},

author = {Michele Cirafici},

doi = {10.1007/jhep03(2016)045},

issn = {1029-8479},

journal = {J. High Energ. Phys.},

volume = {2016},

number = {3},

publisher = {Springer Science and Business Media LLC},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cirafici2013,

title = {Curve counting, instantons and McKay correspondences},

author = {Michele Cirafici and R J. Szabo},

doi = {10.1016/j.geomphys.2013.03.020},

issn = {0393-0440},

journal = {Journal of Geometry and Physics},

volume = {72},

pages = {54--109},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}