Zero modes of non-abelian Dirac operator in topologically non-trivial band insulator
The episode discusses a paper titled "Zero modes of non-abelian Dirac operator in topologically non-trivial band insulator." The hosts explain that local gauge-invariance of the quantum geometric tensor implies zero modes exist. They detail how Jacobi Theta functions provide ground state probability amplitudes, and how degeneracy points define a complex projective space. This connects topological invariants to vortexability criteria and Landau level algebra.