Solving the pentagon equation with trivalent categories (R. Wolf)

  • Datum: 29.08.2017
  • Uhrzeit: 11:30 - 12:30
  • Vortragende(r): Ramona Wolf
  • Leibniz Universität Hannover, Institut für Theoretische Physik
  • Raum: New Lecture Hall, Room B 0.32
  • Gastgeber: MPQ, Theory Division
Anyons are two-dimensional quasiparticles with exotic statistics that can be used for topological quantum computation. What makes them interesting for this is the concept of fusion and braiding.

In the first part of this talk I will give an introduction to the fusion theory of anyons including the so-called pentagon equation, which is crucial for finding consistent anyon models, and point out the difficulties when solving it. The second part of this talk is dedicated to the mathematical construct of trivalent categories, their connection to anyon models and how we can use them to make the process of solving the pentagon equation easier for particular models.

Zur Redakteursansicht