9 citations · 9 across the 1 of their papers we have counts for
4 papers
On Jones' connections between subfactors, conformal field theory, Thompson's groups and knots
Arnaud Brothier
Surprisingly Richard Thompson's groups have recently appeared in Jones' subfactor theory. Vaughan Jones is famous for linking theories that are a priori completely disconnected; fo…
Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach
Arnaud Brothier, Alexander Stottmeister
We present a mathematically rigorous canonical quantization of Yang-Mills theory in 1+1 dimensions (YM) by operator-algebraic methods. The latter are based on Hamiltonian l…
Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups
Arnaud Brothier, Alexander Stottmeister
Using ideas from Jones, lattice gauge theory and loop quantum gravity, we construct 1+1-dimensional gauge theories on a spacetime cylinder. Given a separable compact group , we…
Hilbert modules over a planar algebra and the Haagerup property
Arnaud Brothier, Vaughan Jones
Given a subfactor planar algebra P and a Hilbert P-module of lowest weight 0 we build a bimodule over the symmetric enveloping inclusion associated to P. As an application we prove…