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NSR Open Super-string in the proper-time gauge I: Free Field Theory

High Energy Physics - Theory 2022-06-29 v2

Abstract

We study the Neveu-Schwarz-Ramond (NSR) open super-string theory in the proper-time gauge. The string field action is obtained by evaluating the Polyakov string path integral. In this study, we focus on the open-string free-field action, which corresponds to the string path integral on a strip. Depending on the periodicity of the fermion fields, the open super-string has two sectors: The Neveu-Schwarz (NS) and Ramond (R) sectors. We can impose the gauge conditions to fix the (super-) reparametrization invariance on the two-dimensional metric and its super-partner on the string world sheet to secure the covariance, in contrast to the light-cone gauge condition. Accordingly, the proper-time emerges in the NS sector and both proper-time and its super-partner appear in the R-sector. Integration leads to free-string field actions in both sectors.

Keywords

Cite

@article{arxiv.2203.08529,
  title  = {NSR Open Super-string in the proper-time gauge I: Free Field Theory},
  author = {Taejin Lee},
  journal= {arXiv preprint arXiv:2203.08529},
  year   = {2022}
}

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18 pages