Coset realizations of (super)twistor spaces and structure of (super)twistor correspondence

TL;DR

This paper introduces new extended superconformal algebras and explores the geometric structure of supertwistor spaces as cosets, clarifying their role in the supertwistor correspondence.

Contribution

It presents novel extended superconformal algebras and elucidates the geometric interpretation of supertwistor spaces within coset structures.

Findings

Defined new extended superconformal algebras

Described supertwistor spaces as cosets in a geometric framework

Clarified the supertwistor correspondence geometry

Abstract

New types "extended" (super)conformal algebras $G^{(\frac n2)}$ are presented. (Su\-per)twistor spaces $T$ are subspaces in cosets $G^{(\frac n2)}/H$. The (super)twistor correspondence has a cleary defined geometrical meaning.