Constructing a topological field theory from quantum Teichmüller theory
A topological quantum field theory (TQFT) is a quantum field theory that focusses on topological invariants. Although these theories were invented by physicists, they are also of mathematical interest, being related, amongst other things, to quantum topology. Until now, there has been a lack of mathematical understanding on TQFTs associated with non-compact super gauge groups. The EU-funded SAKTQFT project aims to construct TQFTs based on super quantum Teichmüller theory. The project's results are expected to build a bridge across different areas of mathematics, possibly opening new research gates completely inspired by physics.