Reshetikhin-Turaev TQFT with time-reversal symmetry

by Ippo Orii (Kavli IPMU)

Friday 24 Oct 2025, 15:00 → 16:30 Asia/Tokyo

This seminar will be held in Japanese.

Zoom Link

https://us06web.zoom.us/j/87142754749?pwd=NsYWLK7b1HDbM1ahE5OOkSL2c9uTIB.1

Meeting ID: 871 4275 4749
Passcode: 299013

Abstruct

Topological quantum field theory (TQFT) is a class of field theories that has been successfully formulated in rigorous mathematical terms and describes physics independent of the spacetime metric. In particular, I will give an overview of 2+1-dimensional TQFTs constructed from the Reshetikhin–Turaev invariants.

However, a theory with time-reversal symmetry is equivalent to a theory defined on non-orientable spacetimes. While such theories are known to exhibit rich mathematical and physical structures, a complete mathematical formulation has not yet been achieved.

In this talk, I will review the current understanding and future prospects of time-reversal-symmetric TQFTs, incorporating some of my own research results.

The draft of the talk

https://drive.google.com/file/d/1T7BkbZNazUvxHls6JEmAOB9RcnSsYT6I/view?usp=sharing