Mathematics Colloquia and Seminars
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Quantum Hall Physics from Noncommutative Field TheoryMathematical Physics & Probability
|Speaker: ||Mark van Raamsdonk, Stanford University|
|Location: ||593 Kerr|
|Start time: ||Tue, Nov 20 2001, 4:10PM|
In this talk, I'll show that noncommutative Chern-Simons theory at level
k reproduces various properties of a 2D system of electrons in the lowest
Landau level at filling fraction 1/k, as suggested recently by Susskind.
In particular, I'll determine a complete basis of exact wavefunctions for
a matrix regulated version of the noncommutative Chern-Simons theory and
show that these are in one-to-one correspondence with the set of
Laughlin-type wavefunctions describing excitations of a droplet of quantum
Hall fluid. Very little prior knowledge of quantum Hall physics or of
noncommutative field theory should be required to follow the talk.
Andrew Waldron is the host.