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math-ph2019★ 1 cited
Thompson Field Theory
Deniz E. Stiegemann
We introduce Thompson field theory, a class of toy models of conformal field theory in which Thompson's group T takes the role of a discrete analogue of the chiral conformal group.…
math-ph2019
Quantum fields for unitary representations of Thompson's groups F and T
Tobias J. Osborne, Deniz E. Stiegemann
We describe how to define observables analogous to quantum fields for the semicontinuous limit recently introduced by Jones in the study of unitary representations of Thompson's gr…
math-ph2018
Approximating Diffeomorphisms by Elements of Thompson's Groups F and T
Deniz E. Stiegemann
We show how to approximate diffeomorphisms of the closed interval and the circle by elements of Thompson's groups and , respectively. This is relevant in the context of Jone…