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.