Mitsutoshi Fujita et al JHEP06(2009)066 doi:10.1088/1126-6708/2009/06/066
Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy
Mitsutoshi Fujitaa, Wei Lib, Shinsei Ryuc and Tadashi Takayanagib
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= 6 Chern-Simons theory. We show that D4-branes wrapped on 
1 or D8-branes wrapped on 3 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 2/Zn.
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AdS-CFT and dS-CFT Correspondence
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E-print Number: 0901.0924
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Issue 06 (June 2009)
Received 26 February 2009, accepted for publication 31 May 2009
Published 22 June 2009
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Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy
Mitsutoshi Fujita et al JHEP06(2009)066
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