Superstrings from theories with N>1 world-sheet supersymmetry

TL;DR

This paper explores how string theories with various levels of world-sheet supersymmetry are interconnected through marginal deformations, revealing relationships between theories with different target-space interpretations and properties.

Contribution

It demonstrates the connections between theories with different N supersymmetries, including theories with zero target-space dimensions, via marginal deformations.

Findings

N=1 and N=0 theories are connected through marginal deformations.

N=2 theories can be interpreted as world-volume theories.

Theories with N≥3 have zero target-space dimensions.

Abstract

String theories with (N,N') local world-sheet supersymmetries are related to each other by marginal deformations. This connects N=1 and N=0 theories in which the target-spaces are interpreted as space-times, N=2 theories in which the target spaces can be interpreted as world-volumes, and theories with $N\ge 3$, in which the central charge vanishes -- theories with zero target-space dimensions.