Superconformal mechanics, black holes, and non-linear realizations

TL;DR

This paper explores superconformal mechanics models describing superparticles near black holes, revealing how non-manifest invariance affects angular momentum and extending the models to higher supersymmetry.

Contribution

It demonstrates the impact of non-manifest superconformal invariance on angular momentum shifts and constructs an extended N=4 superconformal mechanics model.

Findings

Superconformal mechanics models describe near-horizon black hole dynamics.

Non-manifest invariance shifts the SO(2) charge by the superpotential coefficient.

Extension to N=4 superconformal mechanics captures full SU(1,1|2) symmetry.

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.