Basis for Non-Factorizable Superamplitudes in N = 1 Supersymmetry

TL;DR

This paper introduces a semi-standard Young tableau method to construct a basis for non-factorizable superamplitudes in N=1 supersymmetry, aiding in the classification of supersymmetric operators.

Contribution

It develops a novel SSYT-based framework for systematically constructing superamplitude bases and translating them into supersymmetric operators, extending previous methods.

Findings

Provides a systematic basis for superamplitudes in N=1 supersymmetry.

Enables counting and explicit construction of independent supersymmetric operators.

Discusses advantages and limitations compared to Hilbert series methods.

Abstract

In this paper we develop a semi-standard Young tableau (SSYT) approach to construct a basis of non-factorizable superamplitudes in N = 1 massless supersymmetry. This amplitude basis can be directly translated to a basis for higher dimensional supersymmetric operators, yielding both the number of independent operators and their form. We deal with distinguishable (massless) chiral/vector superfields at first, then generalize the result to the indistinguishable case. Finally, we discuss the advantages and disadvantages of this method compared to the previously studied Hilbert series approach.