Symplectic Reduction and Symmetry Algebra in Boundary Chern-Simons theory
Phillial Oh, Mu-In Park (MIT & LNS)
TL;DR
This paper derives the Kac-Moody and Virasoro algebras in boundary Chern-Simons theory using symplectic reduction and Noether procedures, elucidating the algebraic structure of the theory.
Contribution
It introduces a novel approach combining symplectic reduction and Noether procedures to derive boundary algebras in Chern-Simons theory.
Findings
Derived Kac-Moody algebra in boundary Chern-Simons theory
Derived Virasoro algebra in boundary Chern-Simons theory
Established a systematic method for algebra derivation in gauge theories
Abstract
We derive the Kac-Moody algebra and Virasoro algebra in Chern-Simons theory with boundary by using the symplectic reduction method and the Noether procedures.
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