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

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Summary

Introduction

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

Action for the NS sector
Known results incorporating R sector
Fermion expansion
Known results
New results
Discussion
Full Text
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