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In the NS-NS sector of superstring field theory, there potentially existthree nilpotent generators of gauge transformations and two constraintequations: It makes the gauge algebra of type II theory somewhat complicated.In this paper, we show that every NS-NS actions have their WZW-like forms, andthat a triplet of mutually commutative $L_{\infty }$ products completelydetermines the gauge structure of NS-NS superstring field theory via itsWZW-like structure. We give detailed analysis about it and present itscharacteristic properties by focusing on two NS-NS actions proposed byarXiv:1512.03379 and arXiv:1403.0940.

Notes on the Wess-Zumino-Witten-like structure: $L_{\infty }$ triplet and NS-NS superstring field theory