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

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arxiv 2009.00509 v2 pith:UBA4JJJM submitted 2020-09-01 math-ph hep-thmath.MP

Ján Pulmann , Pavol Ševera , Donald R. Youmans This is my paper · ORCID
classification math-phhep-thmath.MP
keywords chern-simonsboundaryconditionsfindflowgeneralizedgroupmodel
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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.

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  1. Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow

    hep-th 2025-02 conditional novelty 6.0 of 10

    Using Courant algebroid relations, the authors prove that geometric T-duality maps solutions of generalized Ricci flow to solutions of generalized Ricci flow, preserving the generalized string background equations.

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