Supersymmetric extended string field theory in NS^n sector and NS^{n-1}-R sector

TL;DR

This paper develops a class of gauge-invariant actions for extended superstring fields across multiple NS sectors and includes R sectors, generalizing previous bosonic theories to encompass tensor and spinor-tensor fields in 10 dimensions.

Contribution

It introduces a novel framework for constructing gauge-invariant actions for extended superstring fields in NS^n and NS^{n-1}-R sectors, extending previous bosonic models to superstring theories.

Findings

Constructed quadratic gauge-invariant actions for extended superstring fields.

Included general n-th rank tensor and (n-1)-th rank spinor-tensor fields.

Presented simple examples of massless bosonic and fermionic actions.

Abstract

We construct a class of quadratic gauge invariant actions for extended string fields defined on the tensor product of open superstring state space for multiple open string Neveu-Schwarz (NS) sectors with or without one Ramond (R) sector. The basic idea is the same as for the bosonic extended string field theory developed by the authors [arXiv:1309.3850]. The theory for NS^n sector and NS^{n-1}-R sector contains general n-th rank tensor fields and (n-1)-th rank spinor-tensor fields in the massless spectrum respectively. In principle, consistent gauge invariant actions for any generic type of 10-dimensional massive or massless tensor or spinor-tensor fields can be extracted from the theory. We discuss some simple examples of bosonic and fermionic massless actions.