Kahler spinning particles

TL;DR

This paper develops U(N) spinning particle models on Kahler spaces, analyzing their supersymmetry constraints and anomalies, and shows their partition functions align with theoretical expectations, unlike the N=2 string.

Contribution

It introduces U(N) spinning particle theories on Kahler spaces and examines their consistency conditions and spectral properties.

Findings

Partition functions match expected spectra

Supersymmetry imposes restrictions on target spaces

Anomalous proper time dependence is absent in these models

Abstract

We construct the U(N) spinning particle theories, which describe particles moving on Kahler spaces. These particles have the same relation to the N=2 string as usual spinning particles have to the NSR string. We find the restrictions on the target space of the theories coming from supersymmetry and from global anomalies. Finally, we show that the partition functions of the theories agree with what is expected from their spectra, unlike that of the N=2 string in which there is an anomalous dependence on the proper time.