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math.DGOct 27, 2016
25
citations (OpenAlex)
authors
  • Pavol Ševera
  • Fridrich Valach
institutions
  • University of Geneva
arXiv abstractPDF
paper

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

arXiv:1610.09004 · doi:10.1007/s11005-017-0968-5

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.

10 pages

References in corpus (2)

  • Poisson-Lie T-duality and Courant algebroids
  • 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 E-models
  • O(D,D)-covariant two-loop β-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 σ-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 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
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