How Bob Laughlin tamed the giant graviton from Taub-NUT space

Bogdan Andrei Bernevig; Leonard Susskind; Nicolaos Toumbas; John H. Brodie

doi:10.1088/1126-6708/2001/02/003

How Bob Laughlin tamed the giant graviton from Taub-NUT space

Bogdan Andrei Bernevig, Leonard Susskind, Nicolaos Toumbas, John H. Brodie

Research output: Contribution to journal › Article › peer-review

70 Scopus citations

Abstract

In this paper we show how two dimensional electron systems can be modeled by strings interacting with D-branes. The dualities of string theory allow several descriptions of the system. These include descriptions in terms of solitons in the near horizon D6-brane theory, non-commutative gauge theory on a D2-brane, the Matrix Theory of D0-branes and finally as a giant graviton in M-theory. The soliton can be described as a D2-brane with an incompressible fluid of D0-branes and charged string-ends moving on it. Including an NS5-brane in the system allows for the existence of an edge with the characteristic massless chiral edge states of the Quantum Hall system.

Original language	English (US)
Pages (from-to)	XIII-25
Journal	Journal of High Energy Physics
Volume	5
Issue number	2
DOIs	https://doi.org/10.1088/1126-6708/2001/02/003
State	Published - 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

D-branes
Non-Commutative Geometry
Superstrings and Heterotic Strings

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10.1088/1126-6708/2001/02/003

Cite this

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AU - Bernevig, Bogdan Andrei

AU - Susskind, Leonard

AU - Toumbas, Nicolaos

AU - Brodie, John H.

PY - 2001

Y1 - 2001

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AB - In this paper we show how two dimensional electron systems can be modeled by strings interacting with D-branes. The dualities of string theory allow several descriptions of the system. These include descriptions in terms of solitons in the near horizon D6-brane theory, non-commutative gauge theory on a D2-brane, the Matrix Theory of D0-branes and finally as a giant graviton in M-theory. The soliton can be described as a D2-brane with an incompressible fluid of D0-branes and charged string-ends moving on it. Including an NS5-brane in the system allows for the existence of an edge with the characteristic massless chiral edge states of the Quantum Hall system.

KW - D-branes

KW - Non-Commutative Geometry

KW - Superstrings and Heterotic Strings

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How Bob Laughlin tamed the giant graviton from Taub-NUT space

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