Open superstring field theory on the restricted Hilbert space

Sebastian Konopka,Ivo Sachs

doi:10.1007/jhep04(2016)164

Sebastian Konopka, Ivo Sachs

Open Access

https://doi.org/10.1007/jhep04(2016)164

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Abstract

Recently an action for open superstring field theory was proposed where the Neveu-Schwarz sector is formulated in the large Hilbert space while the Ramond sector lives in a restriction of the small Hilbert space. The purpose of this note is to clarify the relation of the restricted Hilbert space with other approaches and to formulate open superstring field theory entirely in the small Hilbert space.

Highlights

It appears that the formulation of an action for the Ramond sector of open superstring field theory requires to either restrict the Hilbert space for the Ramond sector or to introduce auxiliary fields with picture −3/2
JHEP04(2016)164 the the NS field to live in the large Hilbert space akin to the Berkovits formulation
In [11] a geometric approach, based on the decomposition of the supermoduli space was outlined, which is formulated in the small Hilbert space with a constrained Ramond sector

Summary

Introduction

JHEP04(2016)164 the the NS field to live in the large Hilbert space akin to the Berkovits formulation. Abstract: It appears that the formulation of an action for the Ramond sector of open superstring field theory requires to either restrict the Hilbert space for the Ramond sector or to introduce auxiliary fields with picture −3/2. First we clarify the relation between the restricted and unrestricted Ramond Hilbert spaces.

Results

Conclusion