The Polyakov action on the supertorus
Jean-Pierre Ader, Hamid Kachkachi

TL;DR
This paper presents a method to construct a globally well-defined Polyakov action on the supertorus by covariantizing derivative operators, ensuring consistency in superstring theory formulations.
Contribution
It introduces a covariantization technique to obtain a consistent, globally defined Polyakov action on the supertorus, addressing previous limitations.
Findings
A covariantization method for derivatives on the supertorus.
A globally well-defined Polyakov action derived.
Enhanced consistency in superstring theory models.
Abstract
A consistent method for obtaining a well-defined Polyakov action on the supertorus is presented. This method uses the covariantization of derivative operators and enables us to construct a Polyakov action which is globally defined.
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