We study infinitesimal gauge transformations of K-equivariant noncommutative principal bundles, for K a triangular Hopf algebra. They form a Lie algebra of derivations in the category of K-modules. We study Drinfeld twist deformations of these infinitesimal gauge transformations. We give several examples from abelian and Jordanian twist deformations. These include the quantum Lie algebra of gauge transformations of the instanton bundle and of the orthogonal bundle on the quantum sphere Sθ4.

Braided Hopf algebras and gauge transformations

Paolo Aschieri;Chiara Pagani
2024-01-01

Abstract

We study infinitesimal gauge transformations of K-equivariant noncommutative principal bundles, for K a triangular Hopf algebra. They form a Lie algebra of derivations in the category of K-modules. We study Drinfeld twist deformations of these infinitesimal gauge transformations. We give several examples from abelian and Jordanian twist deformations. These include the quantum Lie algebra of gauge transformations of the instanton bundle and of the orthogonal bundle on the quantum sphere Sθ4.
File in questo prodotto:
File Dimensione Formato  
s11040-024-09492-x-1.pdf

file disponibile agli utenti autorizzati

Descrizione: File Pubblicato
Tipologia: Versione Editoriale (PDF)
Licenza: Copyright dell'editore
Dimensione 741.49 kB
Formato Adobe PDF
741.49 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11579/204462
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact