Ricci tensor in graded geometry

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We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids. We use an appropriate notion of connections compatible with the generalized metric on the graded manifold.

Original languageEnglish
Article number135582
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 10 Aug 2020


  • Courant algebroids
  • NQ manifolds
  • Ricci tensor


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