Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality

Abstract

We use a generalized Ricci tensor, defined for generalized metrics in Courant algebroids, to show that Poisson-Lie T-duality is compatible with the 1-loop renormalization group.

arXiv comment10 pages

References in corpus (8)

• Dual Non-Abelian Duality and the Drinfeld Double
• Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles
• Torsion-free generalized connections and Heterotic Supergravity
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Poisson-Lie T-duality and Courant algebroids
• One loop renormalizability of the Poisson-Lie sigma models
• Quantum equivalence in Poisson-Lie T-duality
• Poisson-Lie T-duality as a boundary phenomenon of Chern-Simons theory

Cited by in corpus (15)

• G-algebroids: a unified framework for exceptional and generalised geometry, and Poisson-Lie duality
• RG flow of integrable $\mathcal{E}$-models
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• Metric algebroid and Dirac generating operator in Double Field Theory
• Duality, generalized global symmetries and jet space isometries
• Higher fermions in supergravity
• Effective Actions for $\sigma$-Models of Poisson-Lie Type
• Metric Algebroid and Poisson-Lie T-duality in DFT
• Ricci tensor in graded geometry
• Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
• Super AKSZ construction, integral forms, and the 2-dimensional $\mathcal{N}=(1,1)$ sigma model
• Categorification of VB-Lie algebroids and VB-Courant algebroids
• Quantizing Derived Mapping Stacks
• The standard cohomology of regular Courant algebroids
• Flat Generalized Connections on Courant Algebroids