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Couplings in D(2, 1; α) superconformal mechanics from the SU(2) perspective
A bstractDynamical realizations of the most general N = 4 superconformal group in one dimension D(2, 1; α) are reconsidered from the perspective of the R-symmetry subgroup SU(2). It is shown that anyExpand
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Particle dynamics near extreme Kerr throat and supersymmetry
The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2, 1) × U(1) matches precisely the bosonic subgroup of $ \mathcal{N} = 2 $ superconformal groupExpand
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N =4 superconformal mechanics from the su(2) perspective
A bstractThe issue of constructing an N = 4 superconformal mechanics in one dimension is reconsidered with a special emphasis put on the realizations of the su(2)-subalgebra in the full su(1,Expand
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Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator
K.A. and J.G. are grateful to Piotr Kosinski for helpful and illuminating discussions. We thank Peter Horvathy and Andrei Smilga for useful correspondence. This work was sup-ported by the NCN grantExpand
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Dynamical realizations of l-conformal Newton–Hooke group
Abstract The method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403 ] are used to construct a dynamicalExpand
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Remark on integrable deformations of the Euler top
Abstract The Euler top describes a free rotation of a rigid body about its center of mass and provides an important example of a completely integrable system. A salient feature of its first integralsExpand
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4 superconformal Calogero models
We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various = 4 superconformal quantum many-body systems on the real line from a set ofExpand
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Remarks on l-conformal extension of the Newton–Hooke algebra
Abstract The l -conformal extension of the Newton–Hooke algebra proposed in [J. Negro, M.A. del Olmo, A. Rodriguez-Marco, J. Math. Phys. 38 (1997) 3810] is formulated in the basis in which the flatExpand
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AdS2/CFT1, canonical transformations and superconformal mechanics
Abstract We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS2×S2 horizon of an extreme Reissner–Nordstrom black hole.Expand
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Near horizon black holes in diverse dimensions and integrable models
The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformalExpand
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