Alterfold Topological Quantum Field Theory
Organizers
Vassily Manturov
, Shiquan Ren
,
Zhe Yan Wan
Speaker
Time
Wednesday, September 11, 2024 3:30 PM - 5:00 PM
Venue
A3-2-301
Online
Zoom 831 5020 0580
(141592)
Abstract
We will introduce the n-sphere function on n-dimensional lattice models and derive a spherical n-category from it. Then we introduce the alterfold construction of the n+1 topological quantum field theory from an n-sphere function with reflection positivity and finite entanglement rank. The alterfold TQFT has two colors A and B for the n+1 cell. The A-color theory contains a higher analogue of the Turaev TQFT and the B color theory contains a higher analogue of the Drinfeld center and the Reshetihkin-Turaev TQFT. In particular, we construct a 3-sphere function and a 3+1 alterfold TQFT of Ising type from it.
Speaker Intro
I am currently working on Quantum Fourier Analysis, Quantum Information and Subfactor Theory. I am also interested in category theory, harmonic analysis, knot theory, lower dimensional topology, operator algebras, representation theory in mathematics; and quantum field theory and condensed matter in physics. Website: https://ymsc.tsinghua.edu.cn/info/1031/2299.htm