Exotic galilean symmetry, non-commutativity & the Hall effect
Abstract
Description
The ``exotic'' particle model associated with the two-parameter central extension of the planar Galilei group can be used to derive the ground states of the Fractional Quantum Hall Effect. Similar equations arise for a semiclassical Bloch electron. Exotic Galilean symmetry is also be shared by Chern-Simons field theory of the Moyal type.
Minor changes. Talk given at the XXIII. International Conference on Differential Geometric Methods in Theoretical Physics. Aug'05, Nankai Institute of Mathematics, Tianjin, China. Based on joint work with C. Duval, Z. Horvath, L. Martina, M. Plyushchay and P. Stichel
Minor changes. Talk given at the XXIII. International Conference on Differential Geometric Methods in Theoretical Physics. Aug'05, Nankai Institute of Mathematics, Tianjin, China. Based on joint work with C. Duval, Z. Horvath, L. Martina, M. Plyushchay and P. Stichel