Renormalization group flow of Chern-Simons boundary conditions and generalized Ricci tensor

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Publication:2657762

DOI10.1007/JHEP10(2020)096zbMATH Open1456.81317arXiv2009.00509WikidataQ120754807 ScholiaQ120754807MaRDI QIDQ2657762

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Publication date: 14 March 2021

Published in: (Search for Journal in Brave)

Abstract: We find a Chern-Simons propagator on the ball with the chiral boundary condition. We use it to study perturbatively Chern-Simons boundary conditions related to 2-dim sigma-models and to Poisson-Lie T-duality. In particular, we find their renormalization group flow, given by the generalized Ricci tensor. Finally we briefly discuss what happens when the Chern-Simons theory is replaced by a Courant sigma-model or possibly by a more general AKSZ model.


Full work available at URL: https://arxiv.org/abs/2009.00509



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