M-Theory Brane as Giant Graviton and the Fractional Quantum Hall Effect

Details M-Theory Brane as Giant Graviton and the Fractional Quantum Hall Effect M-Theory Brane as Giant Graviton and the Fractional Quantum Hall Effect

2006-07-30

arxiv.org/abs/hep-th/0607242v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, uses JHEP3.cls

Scientific paper

A small number of M-theory branes as giant gravitons in the M-theory sector of LLM geometry is studied as a probe. The abelian way shows that the low energy effective action for M-theory brane is exactly the 2d electron subject to a vertical magnetic field. We also briefly discuss the microscopic description of M2-brane giant graviton in this geometry, in the language of a combination of D0-branes as fuzzy 2-spheres. Then we go to the well-established Noncommutative Chern-Simons theory description. After quantization, well behaved Fractional Quantum Hall Effect is demonstrated. This goes beyond the original LLM description and should be some indication of novel geometry.

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