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An algebraic formulation of nonassociative quantum mechanics
Peter Schupp, Richard J. Szabo
We develop a version of quantum mechanics that can handle nonassociative algebras of observables and which reduces to standard quantum theory in the traditional associative setting…
T-Dualities and Courant Algebroid Relations
Thomas C. De Fraja, Vincenzo Emilio Marotta, Richard J. Szabo
We develop a new approach to T-duality based on Courant algebroid relations which subsumes the usual T-duality as well as its various generalisations. Starting from a relational de…
Symplectic Groupoids and Poisson Electrodynamics
Vladislav G. Kupriyanov, Alexey A. Sharapov, Richard J. Szabo
We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative gauge theory. Our framework is based on an integrating symple…
Homotopy double copy of noncommutative gauge theories
Richard J. Szabo, Guillaume Trojani
We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of -algebras. We define…
BV quantization of braided scalar field theory
Djordje Bogdanović, Marija Dimitrijević Ćirić, Voja Radovanović +1
We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided -structures and the Batalin-Vilkovisky formalism. We descr…
Godbillon-Vey Invariants of Non-Lorentzian Spacetimes and Aristotelian Hydrodynamics
Vincenzo Emilio Marotta, Richard J. Szabo
We study the geometry of foliated non-Lorentzian spacetimes in terms of the Godbillon-Vey class of the foliation. We relate the intrinsic torsion of a foliated Aristotelian manifol…