Euler-symmetric projective toric varieties and additive actions

Let Ga be the additive group of field complex numbers ℂ. We say that an irreducible algebraic variety X dimension n admits action if there is a regular Gan=Ga×…×Ga (n times) on with open orbit. In 2017 Baohua Fu and Jun-Muk Hwang introduced class Euler-symmetric varieties. They gave classification varieties proved any action. this paper we show in case projective toric converse also true. More precisely, admitting respect to linearly normal embedding into space. Also discuss some properties