Other

In this talk, I will review the unified mathematical theory of gapped and gapless boundaries of 2+1D topological orders developed in arXiv:1705.01087. As a consequence of this theory, we will derive a surprising result called “topological Wick rotation”, which was proposed to generalize to higher…

Many-body interacting systems cannot generally be treated with analytical tools alone, making numerical methods essential for studying strongly correlated phases. In fractional quantum Hall systems, conformal field theory correlators provide a way to construct exact matrix product state…

In science, new advances and insights often emerge from the confluence of different ideas coming from what appeared to be disconnected research areas. The theme of my talk will review an ongoing collision between the three topics listed in my title which over the last decade has generated a variety…

Fuzzy sphere models conjecturally realize 3d CFTs in small systems of spinful fermions, but why they work so well is still not fully understood. Their Hamiltonians are built from electron density operators projected to the lowest Landau level. In this talk I will discuss the algebra generated by…