Subellipticity of some complex vector fields related to Witten Laplacian

TL;DR

This paper investigates the subelliptic properties of certain complex vector fields associated with the Witten Laplacian, demonstrating local subellipticity under specific conditions.

Contribution

It establishes the local subellipticity of a system of complex vector fields related to the Witten Laplacian based on condition $( ext{ extPsi})$, advancing understanding of their regularity properties.

Findings

Proves local subellipticity of the vector field system

Links subellipticity to condition $( ext{ extPsi})$

Provides a framework for analyzing similar systems

Abstract

We consider some system of complex vector fields related to the semi-classical Witten Laplacian, and establish the local subellipticity of this system basing on condition $(\Psi)$.