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(29.02.) R-defects: topological defects in non-Abelian Chern-Simons (ORIGINS guest talk)
Saskia Demulder
29.02.2024 at 16:15
Defects defy our conventional understanding of what symmetries are. Known topological defects are mostly confined to discrete or Abelian continuous and compact groups. We construct a new class of topological defects in the Chern Simons theory with non-Abelian, non-compact gauge groups. This new class of defects are characterised by a solution of the so-called modified-classical Yang-Baxter equation and are thus linked to Lagrangian subalgebras. This algebraic description enables us to tackle their fusion algebra both using a Lagrangian path integral and a Hamiltonian perspective. If time permits we will discuss applications to 3d gravity and its higher spin generalisation.
This is work in progress with A.S. Arvanitakis, L.T. Cole, and D.C. Thompson.
Arnold Sommerfeld Center Theresienstrasse 37 Room
348 and via ZOOM