English

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

High Energy Physics - Theory 2015-06-23 v2

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.

Keywords

Cite

@article{arxiv.1412.4467,
  title  = {N=4 superconformal mechanics from the su(2) perspective},
  author = {Anton Galajinsky},
  journal= {arXiv preprint arXiv:1412.4467},
  year   = {2015}
}

Comments

V2: 16 pages, minor modifications, references added, acknowledgements extended; the version to appear in JHEP

R2 v1 2026-06-22T07:31:07.936Z