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arXiv · hep-th/0512301

Planar Quantum Mechanics: an Intriguing Supersymmetric Example

G. Veneziano·J. Wosiek
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Abstract

After setting up a Hamiltonian formulation of planar (matrix) quantum mechanics, we illustrate its effectiveness in a non-trivial supersymmetric example. The numerical and analytical study of two sectors of the model, as a function of 't Hooft's coupling $λ$, reveals both a phase transition at $λ=1$ (disappearence of the mass gap and discontinuous jump in Witten's index) and a new form of strong-weak duality for $λ\to 1/λ$.

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G. Veneziano, J. Wosiek. 2005-12-28. Planar Quantum Mechanics: an Intriguing Supersymmetric Example. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F156

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