Lorentz harmonics and superfield action. D=10, N=1 superstring

TL;DR

This paper introduces a novel superfield action for a D=10, N=1 superstring utilizing Lorentz harmonics as auxiliary superfields, enabling derivation of supergravity constraints and clarifying the role of the Wess-Zumino term.

Contribution

It presents a new superfield action formulation for superstrings that incorporates Lorentz harmonics, providing insights into gauge symmetries and the structure of the action.

Findings

Superfield constraints of induced supergravity derived as equations of motion.

The Wess-Zumino part is identified as a Lagrangian form of the generalized action principle.

Application of the second Noether theorem to gauge symmetries.

Abstract

We propose a new version of the superfield action for a closed D=10, N=1 superstring where the Lorentz harmonics are used as auxiliary superfields. The incorporation of Lorentz harmonics into the superfield action makes possible to obtain superfield constraints of the induced worldsheet supergravity as equations of motion. Moreover, it becomes evident that a so-called 'Wess-Zumino part' of the superfield action is basically a Lagrangian form of the generalized action principle. We propose to use the second Noether theorem to handle the essential terms in the transformation lows of hidden gauge symmetries, which remove dynamical degrees of freedom from the Lagrange multiplier superfield.