From: Rosa Teorell (rosat@microsoft.com)
Date: Fri Jan 16 2004 - 19:53:16 PST
You are invited to attend...
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WHO: Joost Slingerland
AFFILIATION: Heriot-Watt University, Edinburgh, Scotland
TITLE: Quantum groups and braiding in quantum Hall states
and discrete gauge theories.
WHEN: Tue 1/20/2004
WHERE: 113/1021 Research Lecture Room, Microsoft Research
TIME: 10:30AM-12:00PM
HOST: Michael H. Freedman
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ABSTRACT:
I will describe exchange properties of excitations over some non-Abelian
quantum Hall states and of particles in non-Abelian discrete gauge
theories. The exchanges of quantum Hall quasiholes can in principle be
described in terms of explicit wave functions, which are correlators in
certain coset conformal field theories, while the braiding in the gauge
theories is a direct generalisation of the Aharonov-Bohm effect. I will
focus on the fact that, in both cases, the braiding has a convenient
algebraic description which makes use of a quantum group. This
description considerably simplifies the analysis of braiding processes
involving multiple particles. In particular, it provides a detailed
understanding, in terms of Bratteli diagrams, of the braid group
representations which govern the exchanges of N identical particles with
fixed overall quantum group charge. I will make some preliminary
comments on possible applications of this work to topological quantum
computing.
BIO:
Joost Slingerland studied Physics and Mathematics at Utrecht
University, obtained Masters degree in Theoretical Physics in 1998,
supervisor: Erik Verlinde, Thesis: "Modelling the dynamics of BPS
monopoles". Also studied Music at Utrecht School of the Arts (main
instrument: recorder). Obtained a Ph.D. In theoretical Physics from the
University of Amsterdam in 2002, supervisor: Sander Bais, thesis: "Hopf
symmetry and its breaking; braid statistics and confinement in planar
physics". Currently Marie Curie fellow (postdoc) at Heriot-Watt
University, Edinburgh, Scotland.
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