Linking observables in perturbed topological field theories

TL;DR

This paper demonstrates that in n-dimensional topological antisymmetric tensor field theories, the linking number correlator remains unaffected by quantum corrections despite metric-dependent perturbations.

Contribution

It introduces local metric-dependent interactions into the topological field theory and proves the invariance of the linking number correlator under quantum corrections.

Findings

Linking number correlator is unaffected by quantum corrections.

Metric-dependent perturbations do not alter topological invariants.

Theoretical proof of invariance in n-dimensional theories.

Abstract

The topological antisymmetric tensor field theory in n-dimensions is perturbed by the introduction of local metric dependent interaction terms in the curvatures. The correlator describing the linking number between two surfaces in n-dimensions is shown to be not affected by the quantum corrections.