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Title: Integrable lattice models and holography
Authors: Ashwinkumar, Meer 
Keywords: Chern-Simons Theories
Lattice Integrable Models
Issue Date: 1-Feb-2021
Publisher: Springer Science and Business Media Deutschland GmbH
Citation: Ashwinkumar, Meer (2021-02-01). Integrable lattice models and holography. Journal of High Energy Physics 2021 (2) : 227. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: We study four-dimensional Chern-Simons theory on D × ? (where D is a disk), which is understood to describe rational solutions of the Yang-Baxter equation from the work of Costello, Witten and Yamazaki. We find that the theory is dual to a boundary theory, that is a three-dimensional analogue of the two-dimensional chiral WZW model. This boundary theory gives rise to a current algebra that turns out to be an “analytically-continued” toroidal Lie algebra. In addition, we show how certain bulk correlation functions of two and three Wilson lines can be captured by boundary correlation functions of local operators in the three-dimensional WZW model. In particular, we reproduce the leading and subleading nontrivial contributions to the rational R-matrix purely from the boundary theory. © 2021, The Author(s).
Source Title: Journal of High Energy Physics
ISSN: 1029-8479
DOI: 10.1007/jhep02(2021)227
Rights: Attribution 4.0 International
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