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math-ph2025
Graded Contact Geometry and the AKSZ Formalism
Ivan Contreras, Nicolas Martinez-Alba, Rajan Amit Mehta
The AKSZ formalism is a construction of topological field theories where the target spaces are differential graded symplectic manifolds. In this paper, we describe an analogue of t…
math-ph2025
Supersymmetry Breaking in Graph Quantum Mechanics
Bek Herz, Ivan Contreras
In this paper, we develop the groundwork for a graph theoretic toy model of supersymmetric quantum mechanics. Using discrete Witten-Morse theory, we demonstrate that finite graphs…