Supersymmetric Calogero models by gauging
نویسندگان
چکیده
منابع مشابه
Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials
A new generalization of the Jack polynomials that incorporates fermionic variables is presented. These Jack superpolynomials are constructed as those eigenfunctions of the supersymmetric extension of the trigonometric Calogero-Moser-Sutherland (CMS) model that decomposes triangularly in terms of the symmetric monomial superfunctions. Many explicit examples are displayed. Furthermore, various ne...
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We first review the construction of the supersymmetric extension of the quantum CalogeroMoser-Sutherland (CMS) models. We stress the remarkable fact that this extension is completely captured by the insertion of a fermionic exchange operator in the Hamiltonian: sCMS models (s for supersymmetric) are nothing but special exchange-type CMS models. Under the appropriate projection, the conserved ch...
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We consider the supersymmetric Calogero-Sutherland type N-particle problems in one dimension and show that the corresponding fermionic part can be identified with the generalized X-Y models in the presence of an inhomogeneous magnetic field. In particular we show that the generalized Haldane-Shastry models (with magnetic field) are themselves the fermionic partners of the Calogero-Sutherland ty...
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We build up a class of N=2 supersymmetric non-linear σ-models in an N=1 superspace based on the Atiyah-Ward space-time of (2+2)–signature metric. We also discuss the gauging of isometries of the associated hyper-Kählerian target spaces and present the resulting gauge-covariant supersymmetric action functional. e-mail address: [email protected] e-mail address: [email protected]
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2009
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.79.105015