A New Form of Soft Supersymmetry Breaking?

TL;DR

This paper introduces a novel non-supersymmetric gauge theory derived from a supersymmetric model by twisting gauginos, which may inherently avoid quadratic divergences due to its holomorphic and gauge-invariant structure.

Contribution

It proposes a new form of soft supersymmetry breaking through twisting, maintaining holomorphicity and gauge invariance, potentially eliminating quadratic divergences without supersymmetry.

Findings

The theory remains free of quadratic divergences at two-loop order.

Holomorphic and twisted gauge invariance may protect against divergences to all orders.

Explicit calculations support the divergence-free property in the constructed model.

Abstract

Starting with a supersymmetric U(N)xU(N) gauge theory built in N=1 superspace, a nonsupersymmetric theory is obtained by ``twisting'' the gauginos into a different representation of the group than the gauge bosons. Despite the fact that this twisting breaks supersymmetry, it is still possible to construct an action that is holomorphic and invariant to local ``twisted'' gauge transformations in superspace. It is conjectured that these two properties may allow the theory to be free of quadratic divergences to all orders, despite a lack of supersymmetry. An explicit calculation shows that the theory is free of quadratic divergences to at least the two-loop order.