Supersymmetrizing Landau models
نویسندگان
چکیده
منابع مشابه
Supersymmetrizing Landau Models
This is an overview of recent progress in constructing and studying superextensions of the Landau problem of a quantum particle on a plane in the uniform magnetic field, as well as of its Haldane’s S2 generalization (hep-th/0311159, 0404108, 0510019, 0612300). The main attention is paid to the planar super Landau models which are invariant under the inhomogeneous supergroup ISU(1|1), a contract...
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In previous papers we solved the Landau problems, indexed by 2M , for a particle on the “superflag” SU(2|1)/[U(1) × U(1)], the M = 0 case being equivalent to the Landau problem for a particle on the “supersphere” SU(2|1)/[U(1|1)]. Here we solve these models in the planar limit. For M = 0 we have a particle on the complex superplane C; its Hilbert space is the tensor product of that of the Landa...
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We use the methods of PT -symmetric quantum theory to find a oneparameter family of ISU(1|1)-invariant planar super-Landau models with positive norm, uncovering an ‘accidental’, and generically spontaneouslybroken, N=2 worldline supersymmetry. In contrast to standard models of supersymmetric quantum mechanics, it is the norms of states rather than their energies that are parameter-dependent, an...
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ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2008
ISSN: 0040-5779,1573-9333
DOI: 10.1007/s11232-008-0032-9