The WZ Term of the Spinning String and its On-shell Structure

TL;DR

This paper constructs the Wess-Zumino term for the spinning string using an extended formalism, revealing that the algebra of extended variables closes only on-shell, highlighting novel structural features.

Contribution

It introduces a new approach to formulating the WZ term for spinning strings, emphasizing the on-shell closure of the algebra of extended variables.

Findings

Non-anomalous transformations do not form a sub-group.

The algebra closes only when equations of motion are satisfied.

The formalism uncovers new structural aspects of the WZ term.

Abstract

The Wess-Zumino term of the spinning string is constructed in terms of their anomalies using an extended field-antifield formalism. A new feature appears from a fact that the non-anomalous transformations do not form a sub-group. The algebra of the extended variables closes only using the equations of motion derived from the WZ term.