Current algebras, generalised fluxes and non-geometry

Osten, David (2020): Current algebras, generalised fluxes and non-geometry. In: Journal of Physics A, Mathematical and Theoretical, Bd. 53, Nr. 26, 265402

Abstract

A Hamiltonian formulation of the classical world-sheet theory in a generic, geometric or non-geometric, NSNS Background: is proposed. The essence of this formulation is a deformed current algebra, which is solely characterised by the generalised fluxes describing such a background. The construction extends to backgrounds for which there is no Lagrangian description-namely magnetically charged backgrounds or those violating the strong constraint of double field theory-at the cost of violating the Jacobi identity of the current algebra. The known non-commutative and non-associative interpretation of non-geometric flux backgrounds is reproduced by means of the deformed current algebra. Furthermore, the provided framework is used to suggest a generalisation of Poisson-LieT-duality to generic models with constant generalised fluxes. As a side note, the relation between Lie and Courant algebroid structures of the string current algebra is clarified.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1751-8113
• Sprache: Englisch