M-Theory Brane as Giant Graviton and the Fractional Quantum Hall Effect
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0607242,
title = {M-Theory Brane as Giant Graviton and the Fractional Quantum Hall Effect},
author = {Ran Huo},
journal= {arXiv preprint arXiv:hep-th/0607242},
year = {2007}
}
Comments
20 pages, uses JHEP3.cls