Neveu-Schwarz-Ramond open superstring in the proper-time gauge: Free field theory

초록

We study the Neveu-Schwarz-Ramond (NSR) open superstring 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 superstring 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 superpartner 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 superpartner appear in the R-sector. Integration leads to free-string field actions in both sectors.

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