N=4 superconformal mechanics in the pp-wave limit

TL;DR

This paper constructs the pp-wave limit of N=4 superconformal mechanics using an off-shell multiplet, showing that the interaction terms are symmetry-fixed and that the limit involves only quadratic nonlinearities.

Contribution

It provides a detailed construction of the pp-wave limit for N=4 superconformal mechanics with fixed interactions and quadratic nonlinearities.

Findings

Interaction parts are symmetry-fixed

Passing to the limit involves only quadratic nonlinearities

Explicit superfield and component actions provided

Abstract

We constructed the pp-wave limit of N=4 superconformal mechanics with the off-shell $({\bf 3,4,1})$ multiplet. We present the superfield and the component actions which exhibit the interesting property that the interaction parts are completely fixed by the symmetry. We also explicitly demonstrate that the passing to the pp-wave limit can be achieved by keeping at most quadratic nonlinearities in the action of (super)conformal mechanics.