Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/06/066
Keywords
Brane Dynamics in Gauge Theories; Gauge-gravity correspondence; AdS-CFT Correspondence; Chern-Simons Theories
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Funding
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
- JSPS [20740132, 19GS0219]
- Center for Condensed Matter Theory
- Grants-in-Aid for Scientific Research [20740132] Funding Source: KAKEN
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We present three holographic constructions of fractional quantum Hall effect (FQHE) via string theory. The first model studies edge states in FQHE using supersymmetric domain walls in N = 6 Chern-Simons theory. We show that D4-branes wrapped on CP1 or D8-branes wrapped on CP3 create edge states that shift the rank or the level of the gauge group, respectively. These holographic edge states correctly reproduce the Hall conductivity. The second model presents a holographic dual to the pure U(N)(k) (Yang-Mills-) Chern-Simons theory based on a D3-D7 system. Its holography is equivalent to the level-rank duality, which enables us to compute the Hall conductivity and the topological entanglement entropy. The third model introduces the first string theory embedding of hierarchical FQHEs, using IIA string on C-2/Z(n).
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