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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…
Braided Quantum Electrodynamics
Marija Dimitrijević Ćirić, Nikola Konjik, Voja Radovanović +1
The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, gauge theory min…
Instanton Counting and Donaldson-Thomas Theory on Toric Calabi-Yau Four-Orbifolds
Richard J. Szabo, Michelangelo Tirelli
We study rank cohomological Donaldson-Thomas theory on a toric Calabi-Yau orbifold of by a finite abelian subgroup of , from the persp…