Renormalization group flow of Chern-Simons boundary conditions and generalized Ricci tensor
Journal of High Energy Physics, 2020•Springer
A bstract 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 σ-
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 σ-model or possibly by a more general AKSZ
model.
We use it to study perturbatively Chern-Simons boundary conditions related to 2-dim σ-
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 σ-model or possibly by a more general AKSZ
model.
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 σ-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 σ-model or possibly by a more general AKSZ model.
Springer
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