Killing gauge for the 0-brane on $AdS_2 \times S^2$ coset superspace

TL;DR

This paper discusses the proper gauge fixing of kappa-symmetry for super 0-branes on AdS2 x S2, revealing conditions under which Killing gauge is compatible, especially with nonzero magnetic charge, to derive superconformal mechanics.

Contribution

It provides a detailed analysis of gauge fixing in super 0-brane actions on AdS2 x S2, clarifying the conditions for Killing gauge compatibility with nonzero magnetic charge.

Findings

Killing gauge can be used without incompatibility if magnetic charge is nonzero.

Explicit analysis of gauge-fixing subtleties in super 0-brane actions.

Derivation of superconformal mechanics from gauge-fixed super 0-brane on AdS2 x S2.

Abstract

How to gauge fix $\k$-symmetry for the super 0-brane action on $AdS_2 \times S^2$ in Killing gauge properly is discussed in order to find the superconformal mechanics which describes super 0-brane probes moving on $AdS_2 \times S^2$. The dependence on the coordinate frame for the proper Killing gauge is considered and the subtleties of gauge-fixing $\k$-symmetry in Killing gauge are analysed explicitly. It is found that the Killing gauge works indeed without the imcompatibility if the magnetic charge of the super 0-brane is nonzero.