Nuclear Physics B, ( ISI ), Year (2005-7)

Title : ( LLL vs. LLM: Half BPS sector of N=4 SYM equals to quantum Hall system )

Authors: Ahmad Ghodsi Mahmoudzadeh , امیر اسماعیل مصفا , امید صارمی , محمد مهدی شیخ جباری ,

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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

, quantum Hall physics , Chern, Simons Matrix theory
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@article{paperid:1009718,
author = {Ghodsi Mahmoudzadeh, Ahmad and امیر اسماعیل مصفا and امید صارمی and محمد مهدی شیخ جباری},
title = {LLL vs. LLM: Half BPS sector of N=4 SYM equals to quantum Hall system},
journal = {Nuclear Physics B},
year = {2005},
month = {July},
issn = {0550-3213},
keywords = {quantum Hall physics - Chern-Simons Matrix theory},
}

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%0 Journal Article
%T LLL vs. LLM: Half BPS sector of N=4 SYM equals to quantum Hall system
%A Ghodsi Mahmoudzadeh, Ahmad
%A امیر اسماعیل مصفا
%A امید صارمی
%A محمد مهدی شیخ جباری
%J Nuclear Physics B
%@ 0550-3213
%D 2005

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