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

Abstract

In the NS-NS sector of superstring field theory, there potentially exist three nilpotent generators of gauge transformations and two constraint equations: 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, and that a triplet of mutually commutative $L_{\infty }$ products completely determines the gauge structure of NS-NS superstring field theory via its WZW-like structure. We give detailed analysis about it and present its characteristic properties by focusing on two NS-NS actions proposed by arXiv:1512.03379 and arXiv:1403.0940.

23+3 pages; Published ver

References in corpus (5)

• BV Master Action for Heterotic and Type II String Field Theories
• NS-NS Sector of Closed Superstring Field Theory
• Construction of action for heterotic string field theory including the Ramond sector
• Comments on complete actions for open superstring field theory
• $A_{\infty }/L_{\infty }$ structure and alternative action for WZW-like superstring field theory

Cited by in corpus (7)

• Superstring Field Theory and the Wess-Zumino-Witten Action
• Light-cone reduction of Witten's open string field theory
• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Perturbative path-integral of string field and the $A_{\infty }$ structure of the BV master equation
• 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