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Toni Kodzoman

Publications and source records attributed to Toni Kodzoman.

2 recordsLinked to original sources
arXiv2024

Non-commutative double geometry

We construct non-commutative theories with the Moyal-Weyl product in the Double Field Theory (DFT) framework. We deform the infinitesimal generalized diffeomorphisms and the Leibniz rule in a consistent way. The prescription requires a generalized star metric, which can be thought of as the fundamental double metric, in order to construct the action. Finally we use the generalized scalar field dynamics and the generalized scalar field-perfect fluid correspondence to construct the generalized energy momentum-tensor of a perfect fluid in the non-commutative double geometry. The present formalism paves the way to the study of string cosmologies scenarios including the Moyal-Weyl product in a T-duality invariant way.

hep-th↗
arXiv2022

From Hopf algebra to braided $L_\infty$-algebra

We show that an $L_\infty$-algebra can be extended to a graded Hopf algebra with a codifferential. Then we twist this extended $L_\infty$-algebra with a Drinfel'd twist, simultaneously twisting its modules. Taking the $L_\infty$-algebra as its own (Hopf) module, we obtain the recently proposed braided $L_\infty$-algebra. The Hopf algebra morphisms are identified with the strict $L_\infty$-morphisms, while the braided $L_\infty$-morphisms define a more general $L_\infty$-action of twisted $L_\infty$-algebras.

hep-th↗