116 citations · 1.1k across the 95 of their papers we have counts for
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Chains of topological oscillators with instantons and calculable topological observables in topological quantum mechanics
Laurent Baulieu, Francesco Toppan
We extend to a possibly infinite chain the conformally invariant mechanical system that was introduced earlier as a toy model for understanding the topological Yang-Mills theory. I…
From worldline to quantum superconformal mechanics with/without oscillatorial terms: and models
I. E. Cunha, N. L. Holanda, F. Toppan
In this paper we quantize superconformal -models defined by worldline supermultiplets. Two types of superconformal mechanics, with and without a DFF term, are considered. Withou…
Generalized supersymmetry and Lévy-Leblond equation
N. Aizawa, Z. Kuznetsova, H. Tanaka +1
The symmetries of the Lévy-Leblond equation are investigated beyond the standard Lie framework. It is shown that the equation has two remarkable symmetries. One is given by the sup…
-graded Lie Symmetries of the Lévy-Leblond Equations
N. Aizawa, Z. Kuznetsova, H. Tanaka +1
The first-order differential Lévy-Leblond equations (LLE's) are the non-relativistic analogs of the Dirac equation, being square roots of ()-dimensional Schrödinger or heat eq…