Suggestion of Explicit Field Transformations underlying Misaligned Supersymmetry

TL;DR

The paper proposes a generalized form of supersymmetry called misaligned supersymmetry, involving explicit field transformations where fermionic generators do not commute with gauge transformations, aiming to address naturalness in non-supersymmetric theories.

Contribution

It introduces a novel concept of misaligned supersymmetry with explicit transformation rules, extending supersymmetry ideas to non-supersymmetric gauge theories.

Findings

Explicit form of field transformations for misaligned supersymmetry

Theoretical framework consistent with generalized no-go theorem

Potential implications for naturalness in gauge theories

Abstract

In order that nonsupersymmetric quiver gauge theories can satisfy naturalness requirements to all orders of perturbation theory, one expects a global symmetry similar to, but different from, supersymmetry. Consistent with the generalized no-go theorem published by Haag {\it et al} in 1975, we suggest a generalization of supersymmetry to a misaligned supersymmetry where fermionic generators do not commute with gauge transformations. An explicit form for the corresponding field transformations is suggested.