Abstract
Based on the Wess-Zumino-Witten-like formulation, a gauge invariant action for heterotic string field theory is constructed at the sixth and eighth order of the Ramond field Ψ. A key relation is a kind of extension of the L∞ algebra including another type of string products called the gauge products. Some general structure of a complete action is also discussed.
Highlights
This formulation was cleverly extended to the NS sector of the heterotic string field theory
We have recently overcome this difficulty and succeeded to construct a complete gauge invariant action based on the WZW-like formulation (WZW-like action) for the open superstring field theory in [6]
In the previous paper we first considered an extension to the heterotic string field theory
Summary
A gauge invariant action for the Neveu-Schwarz (NS) sector, representing space-time bosons, of the open superstring field theory was constructed based on an ingenious formulation utilizing the large Hilbert space, which is called Wess-Zumino-Witten-like (WZW-like) formulation [1]. This formulation was cleverly extended to the NS sector of the heterotic string field theory [2] and the NS-NS sector of the type II superstring field theory [3].1. In this note we push this attempt further and construct a gauge invariant action at the sixth and eighth order of Ψ
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