Theta Dependence in Yang-Mills from Holography

In this contribution we review how holographic tools can be used to study the dependence on the CP-breaking θ parameter of various observables in a large Nc Yang-Mills model. Relevant examples are the ground-state energy density, the string tension, the glueball mass spectrum and the critical temperature for deconfinement. These observables have been also studied, in the small θ regime and up to very few powers of θ2, in pure Yang-Mills on the Lattice. The holographic results qualitatively agree with available Lattice data and, being exact in θ, provide benchmarks for higher order corrections.