Target duality in N=8 superconformal mechanics and the coupling of dual pairs

TL;DR

This paper explores the coupling of dual pairs of N=8 superconformal mechanics with conical targets, revealing oscillator potentials and analyzing models with monopole backgrounds and their N=4 analogs.

Contribution

It introduces a novel coupling scheme for dual superconformal mechanics with conical targets, including monopole backgrounds and detailed N=4 analogs.

Findings

Coupling induces oscillator-type potentials with frequency depending on dual coordinates.

Inhomogeneous (3,8,5) model requires an extra supermultiplet for half of the supersymmetry.

Detailed analysis of N=4 analog with inhomogeneous (1,4,3) and (3,4,1) multiplets.

Abstract

We couple dual pairs of N=8 superconformal mechanics with conical targets of dimension d and 8-d. The superconformal coupling generates an oscillator-type potential on each of the two target factors, with a frequency depending on the respective dual coordinates. In the case of the inhomogeneous (3,8,5) model, which entails a monopole background, it is necessary to add an extra supermultiplet of constants for half of the supersymmetry. The N=4 analog, joining an inhomogeneous (1,4,3) with a (3,4,1) multiplet, is also analyzed in detail.