Quantization of the complex linear superfield

TL;DR

This paper explores the quantization process of the complex linear superfield, highlighting the necessity of an infinite ghost tower and employing the Batalin-Vilkovisky method to derive a gauge-fixed action with novel superspace features.

Contribution

It introduces a BV-based quantization approach for complex linear superfields, revealing new superspace-specific aspects.

Findings

Infinite ghost tower required for quantization

Batalin-Vilkovisky method applied successfully

Novel features emerge in superspace context

Abstract

The quantization of the complex linear superfield requires an infinite tower of ghosts. We use the Batalin-Vilkovisky method to obtain a gauge-fixed action. In superspace, the method brings in some novel features.