Comments on complete actions for open superstring field theory

Abstract

We clarify a Wess-Zumino-Wtten-like structure including Ramond fields and propose one systematic way to construct gauge invariant actions: Wess-Zumino-Witten-like complete action $S_{\mathrm{WZW}}$. We show that Kunitomo-Okawa's action proposed in arXiv:1508.00366 can obtain a topological parameter dependence of Ramond fields and belongs to our WZW-like framework. In this framework, once a WZW-like functional ${\mathcal{A}}_{\eta }={\mathcal{A}}_{\eta }[\Psi ]$ of a dynamical string field $\Psi$ is constructed, we obtain one realization of $S_{\mathrm{WZW}}$ parametrized by $\Psi$. On the basis of this way, we construct an action $\tilde{S}$ whose on-shell condition is equivalent to the Ramond equations of motion proposed in arXiv:1506.05774. Using these results, we provide the equivalence of two these theories: arXiv:1508.00366 and arXiv:1506.05774.

25+5 pages; Published ver

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Cited by in corpus (9)

• Closed Superstring Field Theory and its Applications
• Superstring Field Theory and the Wess-Zumino-Witten Action
• Heterotic string field theory with cyclic L-infinity structure
• Supersymmetry in Open Superstring Field Theory
• $A_{\infty }/L_{\infty }$ structure and alternative action for WZW-like superstring field theory
• 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
• Type II superstring field theory revisited