Killing-Yano Supersymmetry in String Theory

TL;DR

This paper explores non-standard supersymmetries arising from Killing-Yano tensors in string theory, revealing new supersymmetries involving particle and winding modes and their relation to T-duality.

Contribution

It introduces a novel type of non-standard supersymmetry in string theory that involves both particle and winding modes, expanding the understanding of symmetries in curved backgrounds.

Findings

Killing-Yano tensors imply non-standard supersymmetries in string modes.

New supersymmetries involve mixtures of particle and winding modes.

Explicit examples illustrate the interplay with T-duality.

Abstract

The presence of Killing-Yano tensors implies the existence of non-standard supersymmetries in point particle theories on curved backgrounds. In a string theoretical context these are symmetries of the modes describing the particle-like behavior of the string. In the presence of isometries we show that, in addition to these, one can also define a new type of non-standard supersymmetry among a mixture of particle and winding modes. The interplay with T-duality is also examined and illustrated by explicit examples.