2007/02/28 by Anton Alekseev, Samuel Monnier · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Boundary value problem #Hilbert space #Homotopy and Cohomology in Algebraic Topology #Open string #Operator algebra #Quantization (signal processing) #Renormalization group #String field theory #String theory #Wilson loop #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/08/039
published as JHEP0708:039,2007 · 24 pages. Version published in JHEP
openalex publication_date 2007/08/10 · arxiv created 2007/08/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We describe a non-perturbative quantization of classical Wilson loops in the WZW model. The quantized Wilson loop is an operator acting on the Hilbert space of closed strings and commuting either with the full Kac-Moody chiral algebra or with one of its subalgebras. We prove that under open/closed string duality, it is dual to a boundary perturbation of the open string theory. As an application, we show that such operators are useful tools for identifying fixed points of the boundary renormalization group flow.