BRST Structures and Symplectic Geometry on a Class of Supermanifolds

TL;DR

This paper explores the symplectic geometry and geometric quantization of supermanifolds, revealing BRST structures for specific algebras and examining both classical and quantum deformations.

Contribution

It introduces BRST structures within symplectic geometry on supermanifolds and analyzes their behavior under classical and q-deformed quantum cases.

Findings

BRST structures identified for certain superalgebras

Analysis of undeformed and q-deformed cases

Insights into geometric quantization of supermanifolds

Abstract

By investigating the symplectic geometry and geometric quantization on a class of supermanifolds, we exhibit BRST structures for a certain kind of algebras. We discuss the undeformed and q-deformed cases in the classical as well as in the quantum cases.