On the Geometry of Null Polygons in Full N=4 Superspace

TL;DR

This paper explores the geometric structure of null polygons in full N=4 superspace, revealing their fermionic 'fatness' and proposing equivalence relations to address this feature.

Contribution

It introduces multiple formulations of null polygons in N=4 superspace and analyzes their fermionic properties, providing new insights into their geometric and algebraic structure.

Findings

Null polygons are necessarily fat along fermionic directions.

Suitable equivalence relations compensate for fermionic fatness.

Multiple formulations of null polygons in superspace are presented.

Abstract

We discuss various formulations of null polygons in full, non-chiral N=4 superspace in terms of spacetime, spinor and twistor variables. We also note that null polygons are necessarily fat along fermionic directions, a curious fact which is compensated by suitable equivalence relations in physical theories on this superspace.