论文标题
Chern-Simons边界条件和广义RICCI张量的重新归一化组流动
Renormalization group flow of Chern-Simons boundary conditions and generalized Ricci tensor
论文作者
论文摘要
我们在手性边界条件的球上找到了一个Chern-Simons繁殖器。我们使用它来研究与2 dim $σ$ - 模型和泊松lie t二维相关的Chern-Simons边界条件。特别是,我们发现其重新归一化组流动,由广义ricci张量给出。最后,我们简要讨论当Chern-Simons理论被Courant $σ$ - 模型或更通用的AKSZ模型取代时会发生什么。
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.