Wess-Zumino term for AdS superstring

TL;DR

This paper investigates a Wess-Zumino term for superstrings in AdS spaces, focusing on its bilinear structure, invariance properties, and the resulting supercharge algebra with string charge inclusion.

Contribution

It introduces a bilinear Wess-Zumino term for AdS superstrings, ensuring pseudo-superinvariance and deriving the covariant supercharge algebra with string charge.

Findings

Constructed a bilinear Wess-Zumino term for AdS superstrings.

Demonstrated pseudo-superinvariance of the Wess-Zumino term.

Derived the supercharge algebra including string charge.

Abstract

We examine a bilinear form Wess-Zumino term for a superstring in anti-de Sitter (AdS) spaces. This is composed of two parts; a bilinear term in superinvariant currents and a total derivative bilinear term which is required for the pseudo-superinvariance of the Wess-Zumino term. The covariant supercharge commutator containing a string charge is also obtained.