Nonassociative field theory on non-geometric spaces

Dionysios Mylonas, Richard J. Szabo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We describe quasi-Hopf twist deformations of flat closed string compactifications with non-geometric Rflux using a suitable cochain twist, and construct nonassociative deformations of fields and differential calculus. We report on our new findings in using this formalism to construct perturbative nonassociative field theories on these backgrounds. We describe the modifications to the usual classification of Feynman diagrams into planar and non-planar graphs. The example of ϕ4 theory is studied in detail and the one-loop contributions to the two-point function are calculated.

Original languageEnglish
Pages (from-to)727-732
Number of pages6
JournalFortschritte der Physik
Volume62
Issue number9-10
Early online date2 Jun 2014
DOIs
Publication statusPublished - Sep 2014

Keywords

  • Cochain twist
  • Non-geometric string
  • Nonassociative deformation
  • Quasi-Hopf
  • Scalar field

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