My fascination with CFT lies in the profound universality where microscopic details are washed away, leaving behind a rigid mathematical structure governed by symmetry. In low dimensions, this symmetry becomes infinite-dimensional, allowing us to determine correlation functions and spectra exactly, bridging the gap between rigorous mathematics and observable physical phenomena.
Non-relativistic Critical Phenomena
While Lorentz symmetry is a cornerstone of high-energy physics, condensed matter systems offer a broader playground where this constraint is naturally relaxed. I am interested in the rich variety of universality classes that emerge when space and time scale anisotropically, such as in Lifshitz critical points. Exploring these non-relativistic physics reveals novel scaling laws and entanglement structures that are forbidden in the relativistic framework, expanding our understanding of quantum criticality.