Superconformal mechanics, black holes, and non-linear realizations
High Energy Physics - Theory
2016-08-25 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) charge being the superparticle's angular momentum. The {\it non-manifest} superconformal invariance of the superpotential term is shown to lead to a shift in the SO(2) charge by the value of its coefficient, which we identify as the orbital angular momentum. The full SU(1,1|2)-invariant dynamics is found from an extension to N=4 superconformal mechanics.
Cite
@article{arxiv.hep-th/9810230,
title = {Superconformal mechanics, black holes, and non-linear realizations},
author = {J. A. de Azcarraga and J. M. Izquierdo and J. C. Perez Bueno and P. K. Townsend},
journal= {arXiv preprint arXiv:hep-th/9810230},
year = {2016}
}
Comments
19 pages, plain latex file. Slightly shortened version, two references added