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Chern-Simons Gauge Invariance and Boundary Conformal Fields

2017/05/03 by Kumar Abhinav, Abhinav, Kumar, Samir K. Paul +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.1705.01463

openalex publication_date 2017/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional manifold, as well as on its boundary. This scalar field, originally being a pure-gauge Chern-Simons excitation that indicates the most general topological gauge structure in the bulk, is found to be crucial for dynamic scalar excitation on the 2 dimensional generic boundary manifold, the latter naturally representing a conformal mode. This gauge/CFT correspondence is general, for a compact gauge group.

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