EMBEDDING FRACTIONAL QUANTUM HALL SOLITONS IN M-THEORY COMPACTIFICATIONS
2011 ◽
Vol 08
(07)
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pp. 1507-1518
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Keyword(s):
M Theory
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We engineer U(1)n Chern–Simons type theories describing fractional quantum Hall solitons (QHS) in 1 + 2 dimensions from M-theory compactified on eight-dimensional hyper-Kähler manifolds as target space of N = 4 sigma model. Based on M-theory/type IIA duality, the systems can be modeled by considering D6-branes wrapping intersecting Hirzebruch surfaces F0's arranged as ADE Dynkin Diagrams and interacting with higher-dimensional R-R gauge fields. In the case of finite Dynkin quivers, we recover well known values of the filling factor observed experimentally including Laughlin, Haldane and Jain series.
2000 ◽
Vol 15
(30)
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pp. 4857-4870
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1995 ◽
pp. 75-105
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Keyword(s):
1993 ◽
Vol 07
(14)
◽
pp. 2655-2665
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2006 ◽
Vol 15
(07)
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pp. 883-912
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1997 ◽
Vol 79
(3)
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pp. 475-478
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Keyword(s):
1992 ◽
Vol 06
(01)
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pp. 25-58
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1992 ◽
Vol 07
(07)
◽
pp. 611-617
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