Quantized hermitian superfields

TL;DR

This paper investigates the algebraic structure of quantized hermitian superfields, revealing novel features such as multiple vector components and a gravitino-like field, differing from traditional supermultiplet models.

Contribution

It introduces a new algebraic framework for hermitian superfields, leading to unexpected structures not seen in standard supermultiplet theories.

Findings

Constructed scalar field algebra from hermitian fields.

Developed vector algebra and constructed a new vector superfield.

Discovered a superfield with two vector components and a gravitino-like field.

Abstract

We analyse the algebras generated by free component quantum fields together with the susy generators $Q,\bar Q$. Restricting to hermitian fields we first construct the scalar field algebra from which various scalar superfields can be obtained by exponentiation. Then we study the vector algebra and use it to construct the vector superfield. Surprisingly enough, the result is totally different from the vector multiplet in the literature. It contains two hermitian four-vector components instead of one and a spin-3/2 field similar to the gravitino in supergravity.