AG Mathematische Physik, Dr. Alexander Stottmeister (Hannover): Anyon braiding and renormalization

Dr. Alexander Stottmeister (Hannover)

Anyon braiding and renormalization

Abstract:

A braiding operation defines a real-space renormalization group for anyonic chains. The resulting renormalization group flow can be used to define a quantum scaling limit by operator-algebraic renormalization. I will illustrate how this works for the Ising chain, also known as transverse-field Ising model. In this case, the quantum scaling limit results in the vacuum state of the well-known Ising CFT. Distinguishing between the braiding and its inverse is directly related to the chiral sectors of the Ising CFT.