Linking number from a topologically massive p-form theory

TL;DR

This paper demonstrates how the linking number of certain submanifolds in a D-dimensional space can be derived from a topologically massive BC theory in the low energy limit, connecting topology and field theory.

Contribution

It introduces a novel method to obtain linking numbers from topologically massive p-form theories, bridging topological invariants with field theoretical models.

Findings

Linking number derived from topologically massive BC theory.

Connection established between topology and field theory in low energy regime.

Provides a new perspective on topological invariants in higher dimensions.

Abstract

We show that the linking number of two homologically trivial disjoint $p$ and $(D-p-1)$-dimensional submanifolds of a $D$-dimensional manifold can be derived from the topologically massive $BC$ theory in low energy regime.