Higher-derivative holography with a chemical potential

A bstract We carry out an extensive study of the holographic aspects any-dimensional higher-derivative Einstein-Maxwell theories in a fully analytic and non-perturbative fashion. achieve this by introducing d -dimensional version Electromagnetic Quasitopological gravities: gravity electromagnetism that propagate no additional degrees freedom allow one to charged black hole solutions analytically. These contain non-minimal couplings, context give rise modified 〈 JJ 〉 correlator as well general TJJ structure whose coefficients we compute. constrain couplings theory imposing CFT unitarity positivity energy (which show be equivalent causality bulk) positive-entropy bounds from weak conjecture. The thermodynamic properties dual plasma at finite chemical potential are studied detail, find exotic zeroth-order phase transitions may appear, but many them ruled physical constraints. further compute shear viscosity entropy density ratio, it can taken zero while respecting all constraints, providing is large enough. also obtain Rényi entropies observe always increases amount entanglement usual preserved if constraints met. Finally, scaling dimension magnetic response twist operators provide derivation universal relations between expansion these quantities 〉.