Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-02-04
J.Phys.A42:304006,2009
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 6 figures, to appear in the Al. Zamolodchikov memorial volume
Scientific paper
10.1088/1751-8113/42/30/304006
The present understanding of nonperturbative ground states in the fractional quantum Hall effect is based on effective theories of the Jain "composite fermion" excitations. We review the approach based on matrix variables, i.e. D0 branes, originally introduced by Susskind and Polychronakos. We show that the Maxwell-Chern-Simons matrix gauge theory provides a matrix generalization of the quantum Hall effect, where the composite-fermion construction naturally follows from gauge invariance. The matrix ground states obtained by suitable projections of higher Landau levels are found to be in one-to-one correspondence with the Laughlin and Jain hierarchical states. The matrix theory possesses a physical limit for commuting matrices that could be reachable while staying in the same phase.
Cappelli Andrea
Rodriguez Ivan D.
No associations
LandOfFree
Matrix Effective Theories of the Fractional Quantum Hall effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Matrix Effective Theories of the Fractional Quantum Hall effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrix Effective Theories of the Fractional Quantum Hall effect will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-25140