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We present the first example of super Landau model with both N=4 worldline supersymmetry and non-trivial target space supersymmetry ISU(2|2).
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1930
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A. Pashnev, D. Volkov, Supersymmetric Lagrangian for Particles in Proper Time
1980
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F.D.M. Haldane, Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
1983
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A. Galperin, E. Ivanov, V. Ogievetsky, E. Sokatchev, Harmonic superspace as a key to N=2 supersymmetric theories
1984
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A. Galperin, E. Ivanov, V. Ogievetsky, E. Sokatchev, Gauge field geometry from complex and harmonic analyticities. I. Kähler and self-dual Yang-Mills cases
1988
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R.R. Metsaev, A.A. Tseytlin, Type IIB superstring action in A d S 5 × S 5 AdS_{5}\times S^{5} background
1998
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S.-C. Zhang, J.-p. Hu, A Four-dimensional generalization of the quantum Hall effect
2001
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A.S. Galperin, E.A. Ivanov, V.I. Ogievetsky, E.S. Sokatchev, Harmonic Superspace
2001
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D. Karabali, V.P. Nair, Quantum Hall Effect in Higher Dimensions
2002
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E. Ivanov, O. Lechtenfeld, N=4 Supersymmetric Mechanics in Harmonic Superspace
2003
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S. Bellucci, E. Ivanov, S. Krivonos, O. Lechtenfeld, ABC of N=8, d=1 supermultiplets
2004
Cited alongside, same era.
K. Hasebe, Quantum Hall Liquid on a Noncommutative Superplane
2005
Cited alongside, same era.
A. Kirchberg, J.D. Länge, A. Wipf, Extended supersymmetries and the Dirac operator
2005
Cited alongside, same era.
B. Stefański, A.A. Tseytlin, Super spin chain coherent state actions and A d S 5 × S 5 AdS_{5}\times S^{5} superstring
2005
Cited alongside, same era.
E. Ivanov, L. Mezincescu, P.K. Townsend, Planar Super-Landau Models
2006
Cited alongside, same era.
T. Curtright, E. Ivanov, L. Mezincescu, P.K. Townsend, Planar Super-Landau Models Revisited
2007
Cited alongside, same era.
N. Beisert, The s u ( 2 | 2 ) su(2|2) Dynamic S-Matrix
2008
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G. Arutyunov, S. Frolov, The S-matrix of String Bound States
2008
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E. Ivanov, J. Niederle, Bi-harmonic Superspace for N=4 Mechanics
2009
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S. Fedoruk, E. Ivanov, O. Lechtenfeld, Supersymmetric Calogero models by gauging
2009
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K. Hasebe, Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
2010
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N. Beisert, The Analytic Bethe Ansatz for a Chain with Centrally Extended s u ( 2 | 2 ) su(2|2) Symmetry
2007
Cited alongside, same era.
V. Mitev, T. Quella, V. Schomerus, Principal Chiral Model on Superspheres
2008
Cited alongside, same era.
2008
Cited alongside, same era.
E. Ivanov, Supersymmetrizing Landau Models
2008
Cited alongside, same era.
H. Elvang, J. Polchinski, The Quantum Hall Effect on R 4 R^{4}
Cited in the paper.
E. Ivanov, L. Mezincescu, P.K. Townsend, Fuzzy C P ( n | m ) CP^{(n|m)} as a quantum superspace
Cited in the paper.
2010
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M. Konyushikhin, A.V. Smilga, Self-duality and supersymmetry
2010
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2010
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2011
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F. Delduc, E. Ivanov, N = 4 mechanics of general (4, 4, 0) multiplets
2012
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