N=4 superconformal mechanics from the su(2) perspective

Abstract

The 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(1,1|2)-superalgebra. New dynamical realizations of su(1,1|2) are constructed which describe an interaction of the (0,4,4)-supermultiplet with either the (1,4,3)-, or (3,4,1)-, or (4,4,0)-supermultiplet. A relation of the N=4 superconformal mechanics with massive superparticles propagating near the black hole horizons is discussed. Background geometry associated with the model based on the (4,4,0)-supermultiplet is identified with the near horizon limit of the d=5, N=2 supergravity interacting with one vector multiplet.

arXiv commentV2: 16 pages, minor modifications, references added, acknowledgements extended; the version to appear in JHEP

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• Superconformal SU(1,1|n) mechanics
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• N=2 superparticle near horizon of a magnetized Kerr black hole
• Super 0--brane action on the coset space of $D(2,1;\alpha )$ supergroup
• Superfield approach to higher derivative N=1 superconformal mechanics
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry
• Bianchi type-V spinning particle on 2-sphere
• On $OSp(N|2)$ superconformal mechanics
• Spinning particles on 2-sphere in accord with the Bianchi classification
• Remark on near-horizon geometry of extreme regular black holes
• Comment on "Generalized near horizon extreme binary black hole geometry"