IISER MOHALI

Abstract: We discuss how gauge/gravity duality can model strongly coupled quantum matter. We begin with a classification of Mott insulators and Fermi-arc phenomena in p- and d-wave holographic superconductors, emphasising gap formation via fermionic spectral functions. Building on this, we propose a new formalism using the quantum geometric tensor and fidelity expansions to derive transport observables such as conductivity and capacitance. This framework links spectra, topology, and conductivity, offering a unified view of phase transitions and transport in strongly correlated systems. Finally, to address the rich structure of the CuO phase diagram, we plan to apply machine-learning tools to discover new holographic duals.