Wilson surfaces and higher dimensional knot invariants

TL;DR

This paper introduces a new observable for nonabelian higher-dimensional forms, explores its properties, and demonstrates its potential to produce invariants for higher-dimensional knots within BF theory.

Contribution

It presents a novel observable for nonabelian higher-dimensional forms and shows how it can generate invariants for higher-dimensional knots.

Findings

Observable for nonabelian higher-dimensional forms introduced

Expectation value in BF theory linked to knot invariants

Potential to produce genuine higher-dimensional knot invariants

Abstract

An observable for nonabelian, higher-dimensional forms is introduced, its properties are discussed and its expectation value in BF theory is described. This is shown to produce potential and genuine invariants of higher-dimensional knots.