Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Hamiltonian analysis of the BFCG theory for a strict Lie 2-group

Aleksandar Mikovic, Miguel Angelo Oliveira, Marko Vojinovic

Abstract

We perform a complete Hamiltonian analysis of the BFCG action for a general Lie 2-group by using the Dirac procedure. We show that the resulting dynamical constraints eliminate all local degrees of freedom which implies that the BFCG theory is a topological field theory.

Hamiltonian analysis of the BFCG theory for a strict Lie 2-group

Abstract

We perform a complete Hamiltonian analysis of the BFCG action for a general Lie 2-group by using the Dirac procedure. We show that the resulting dynamical constraints eliminate all local degrees of freedom which implies that the BFCG theory is a topological field theory.

Paper Structure

This paper contains 7 sections, 74 equations.

Table of Contents

  1. Introduction
  2. 2-groups and $BFCG$ theory
  3. Spacetime components of the action
  4. A gauge-fixed canonical analysis
  5. The complete canonical analysis
  6. The physical degrees of freedom
  7. Conclusions