Quantization of Wilson loops in Wess-Zumino-Witten models | Zendy

Anton Alekseev | Zendy; Samuel Monnier | Zendy

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Quantization of Wilson loops in Wess-Zumino-Witten models

Author(s) -

Anton Alekseev,

Samuel Monnier

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/08/039

Subject(s) - quantization (signal processing) , hilbert space , open string , mathematical physics , wess–zumino–witten model , string theory , mathematics , operator algebra , string field theory , operator (biology) , physics , pure mathematics , mathematical analysis , conformal map , biochemistry , chemistry , algorithm , repressor , transcription factor , gene

We describe a non-perturbative quantization of classical Wilson loops in theWZW model. The quantized Wilson loop is an operator acting on the Hilbert spaceof closed strings and commuting either with the full Kac-Moody chiral algebraor 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 anapplication, we show that such operators are useful tools for identifying fixedpoints of the boundary renormalization group flow.Comment: 24 pages. Version published in JHE

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