4 papers
Geometry of Supermanifolds through Sheaf and Ringed Space Methods
Mousa Rahseed, Michel Egeileh, Abdallah Assi
This paper introduces the concept of supermanifolds, viewed as the super-analogues of classical manifolds. Instead of treating supermanifolds as sets of points, we adopt an algebra…
Superfield equations in the Berezin-Kostant-Leites category
Michel Egeileh, Daniel Bennequin
Using the functor of points, we prove that the Wess-Zumino equations for massive chiral superfields in dimension 4|4 can be represented by supersymmetric equations in terms of supe…
Supersymmetric field equations from momentum space
Daniel Bennequin, Michel Egeileh
It is known that every irreducible unitary representation of positive energy of the Poincaré group can be realized as a subspace of tensor fields on Minkowski spacetime subjected t…
Infinite-dimensional manifolds as ringed spaces
Michel Egeileh, Tilmann Wurzbacher
We analyze the possibility of defining infinite-dimensional manifolds as ringed spaces. More precisely, we consider three definitions of manifolds modeled on locally convex spaces:…