Twisted Supersymmetry, Fermion-Boson Mixing and Removal of UV-IR Mixing

TL;DR

This paper explores how twisted supersymmetry on nonanticommutative superspace leads to fermion-boson mixing, modifies particle exchange statistics, and results in an S-matrix unaffected by deformation parameters.

Contribution

It introduces a new compatible statistics for superfields under twisted supersymmetry, enabling fermion-boson mixing and eliminating UV-IR mixing effects.

Findings

Fermion-boson mixing occurs under twisted statistics.

The S-matrix becomes independent of the deformation parameter.

A consistent superfield exchange statistics is established.

Abstract

Exact supersymmetry can be maintained on nonanticommutative superspace with a twisted coproduct on the supergroup.We show that the usual exchange statistics for the superfields is not compatible with the twisted action of the superpoincare group and find a statistics which is consistent with the twisted coproduct and imply interesting phenomena such as mixing of fermions and bosons under particle exchange.We also show that with the new statistics, the $S$-matrix becomes completely independent of the deformation parameter.