2001/07/23 by Simeon Hellerman, Leonard Susskind, Hellerman, Simeon +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0107200
8 Pages, no figures
arxiv created 2001/07/31 · arxiv updated 2009/11/30
In a recent paper Bernevig, Brodie, Susskind and Toumbas constructed a brane realization of the Quantum Hall fluid. Since then it has been realized that the Quantum Hall system is very closely related to non--commutative Chern Simons theory and this suggests alternative brane constructions which we believe are more reliable and clear. In this paper a brane construction is given for the non--commutative Chern Simons Matrix formulation of the Quantum Hall system as described by in recent papers by Susskind, Polychronakos and by Hellerman and Van Raamsdonk. The system is a generalized version of Berkooz's ``Rigid Light Cone Membrane which occurs as an excition of the DLCQ description of the M5--brane in a background 3--form field. The original construction of Berkooz corresponds to the fully filled ν=1 state of the QH system. To change the filling fraction to ν= 1/(k+1) a system of k background D8-branes is required. Quasi--hole excitations can be generated by passing a D6-brane though the Rigid Membrane.