  Lovelock theory is the natural extension of general relativity to higher
dimensions. It can be also thought of as a toy model for ghost-free higher
curvature corrections in gravitational theories. It admits a family of AdS
vacua, which provides an appealing arena to explore different holographic
aspects in a broader setup within the context of the AdS/CFT correspondence. We
will elaborate on these features and review previous work concerning the
constraints that Lovelock theory entails on the CFT parameters when imposing
conditions like unitarity, positivity of the energy or causality.
