Gauge symmetry enhancement in Hamiltonian formalism
Soon-Tae Hong (Ewha Womans Univ.), Joohan Lee (Uniiv. of Seoul), Tae, Hoon Lee (Soongsil Univ.), Phillial Oh (Sungkyunkwan Univ.)
TL;DR
This paper analyzes the Hamiltonian structure of gauge symmetry enhancement in an enlarged CP(N) model with a U(2) Chern-Simons term, focusing on the geometry of constrained phase space and Dirac brackets.
Contribution
It provides a detailed Hamiltonian analysis of symmetry enhancement in a specific gauge theory, including Dirac brackets and phase space geometry.
Findings
Explicit Dirac brackets for symmetry enhanced and broken cases
Geometry of constrained phase space for gauge symmetry enhancement
Parameter governing symmetry breaking and enhancement
Abstract
We study the Hamiltonian structure of the gauge symmetry enhancement in the enlarged CP(N) model coupled with U(2) Chern-Simons term, which contains a free parameter governing explicit symmetry breaking and symmetry enhancement. After giving a general discussion of the geometry of constrained phase space suitable for the symmetry enhancement, we explicitly perform the Dirac analysis of our model and compute the Dirac brackets for the symmetry enhanced and broken cases. We also discuss some related issues.
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