  We propose new gauge invariant actions for open NS, heterotic NS, and closed
NS-NS superstring field theories. They are based on the large Hilbert space,
and have Wess-Zumino-Witten-like expressions which are the
$\mathbb{Z}_{2}$-reversed versions of the conventional WZW-like actions. On the
basis of the procedure proposed in arXiv:1505.01659, we show that our new
WZW-like actions are completely equivalent to $A_{\infty }/L_{\infty }$ actions
proposed in arXiv:1403.0940 respectively.
