Probing quarkonium diffusion in a magnetized quark-gluon plasma

Motivated by the potential experimental relevance of magnetically affected heavy-quark diffusion, we consider here a five-dimensional nonlinear Einstein-Born-Infeld-dilaton model to not only holographically model the QCD thermodynamics in a magnetic background but also to probe the charged inner structure of a heavy quarkonium. The dual model’s gravitational equations of motion can be solved in analytical form via the potential reconstruction method. Using a variety of tools—spectral functions, hydrodynamic expansions, or hanging strings—we study the anisotropic diffusion constants and heavy-quark number susceptibility, each time reporting closed form expressions.