$A_{\infty }/L_{\infty }$ structure and alternative action for WZW-like superstring field theory

Abstract

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.

23+21 pages; Published ver

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Cited by in corpus (6)

• Classical algebraic structures in string theory effective actions
• Superstring Field Theory and the Wess-Zumino-Witten Action
• Heterotic string field theory with cyclic L-infinity structure
• Notes on the Wess-Zumino-Witten-like structure: $L_{\infty }$ triplet and NS-NS superstring field theory
• Type II superstring field theory with cyclic L-infinity structure
• On the BV formalism of open superstring field theory in the large Hilbert space