LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
Abstract
In this paper we elaborate on the correspondence between the quantum Hall system with filling factor equal to one and the N=4 SYM theory in the 1/2 BPS sector, previously mentioned in the [hep-th/0409174, hep-th/0409115]. We show the equivalence of the two in various formulations of the quantum Hall physics. We present an extension of the noncommutative Chern-Simons Matrix theory which contains independent degrees of freedom (fields) for particles and quasiholes. The BPS configurations of our model, which is a model with explicit particle-quasihole symmetry, are in one-to-one correspondence with the 1/2 BPS states in the N=4 SYM. Within our model we shed light on some less clear aspects of the physics of the N=4 theory in the 1/2 BPS sector, like the giant dual-giant symmetry, stability of the giant gravitons, and stringy exclusion principle and possible implications of the (fractional) quantum Hall effect for the AdS/CFT correspondence.
Keywords
Cite
@article{arxiv.hep-th/0505129,
title = {LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System},
author = {A. Ghodsi and A. E. Mosaffa and O. Saremi and M. M. Sheikh-Jabbari},
journal= {arXiv preprint arXiv:hep-th/0505129},
year = {2009}
}
Comments
32 pages, 4 figures; v2: A typo fixed, references added