Some Algebraic Symmetries of (2,2)-Supersymmetric Systems

TL;DR

This paper explores new algebraic symmetries in (2,2)-supersymmetric systems related to superstring models, revealing geometric and topological insights that enhance understanding of superstring target spaces and effective field theories.

Contribution

It uncovers previously unexploited symmetries in (2,2)-supersymmetric systems, offering novel tools for analyzing superstring geometries and topologies.

Findings

Identification of new algebraic symmetries in supersymmetric systems

Symmetries are geometrically and topologically unobstructed

Potential applications to superstring target space analysis

Abstract

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are closely related to superstring models. They all turn out to posess some hitherto unexploited and geometrically and topologically unobstructed symmetries, providing new tools for studying the topology and geometry of superstring target spacetimes, and so the dynamics of the effective field theory in these.