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

Journal of High Energy Physics

Donald R. Youmans¹  Pavol Ševera¹  Ján Pulmann¹ 

[1] Section of Mathematics, University of Geneva, rue du Lièvre 2-4, Geneva, Switzerland;

关键词: Boundary Quantum Field Theory;    Chern-Simons Theories;    Renormalization Group;    String Duality;   

DOI  :  10.1007/JHEP10(2020)096

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY