Quasinormal modes play a major role in the applications of gauge/gravity duality. They arise as eigenvalues of non-normal differential operators. It turns out that they are affected by spectral instability: small perturbations can change the eigenvalues by large amounts. Pseudospectra give a quantitative measure of the spectral (in)stability of eigenvalues. I will review the theory of...
The symmetry breaking plays an essential role in understanding the novel phenomenon in high-temperature superconductivity. We will present a review on various symmetry breaking in the context of AdS/CMT duality, with a focus on providing all the essential ingredients to simulate the phase diagram of the high-temperature superconductivity.
The presence of Chern-Simons terms in holographic QCD is required by the global flavor anomaly structure. These Chern-Simons terms may give rise to a spatial instability at nonzero density, known as the Nakamura-Ooguri-Park instability. I demonstrate that this instability is unavoidable in a large class of bottom-up models of QCD anchored to lattice data, and extends to surprisingly high...
Is it possible to read off the quantum gravity dual of a CFT directly from its operator algebra? In this talk, we present a step-by-step recipe synthesizing results and techniques from conformal bootstrap, topological symmetries, tensor networks, a novel symmetry-preserving real-space renormalization algorithm devised originally in lattice models, and the asymptotics of quantum 6j symbols,...
