  In this paper we show that the worldline reparametrization for particles with
higher derivative interactions appears as a higher dimensional symmetry, which
is generated by the truncated Virasoro algebra. We also argue that for generic
nonlocal particle theories the fields on the worldline may be promoted to those
living on a two dimensional worldsheet, and the reparametrization symmetry
becomes locally the same as the conformal symmetry.

High Energy Physics - Theory