Twistor-Like Formulation of Heterotic Strings

TL;DR

This paper reviews new twistor-like formulations of heterotic strings involving commuting spinors, which exhibit extended world sheet and target space supersymmetry, offering a geometric interpretation of kappa-symmetry in various dimensions.

Contribution

It introduces novel formulations of heterotic strings with commuting spinors that unify world sheet and target space supersymmetry, providing a geometric perspective on kappa-symmetry.

Findings

Models in D=10 for n=1,2,8 are explicitly discussed.

The formulations exhibit extended world sheet supersymmetry.

The models demonstrate invariance under target space supersymmetry.

Abstract

In this talk new formulations of the Green--Schwarz heterotic strings in $D$ dimensions that involve commuting spinors, are reviewed. These models are invariant under $n$--extended, world sheet supersymmetry as well as under $N=1$, target space supersymmetry where $n\leq D-2$ and $D=3,4,6,10$. The world sheet supersymmetry replaces $n$ components (and provides a geometrical meaning) of the $\kappa$--symmetry in the Green--Schwarz approach. The models in $D=10$ for $n=1,2,8$ are discussed explicitly.