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Supersymmetric quantum mechanics and Painleve equations [PDF]
AIP Conference Proceedings, 2013 In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), specially when applied to the harmonic and radial oscillators. In addition, we will define the polynomial Heisenberg algebras (PHA), and we will study the general
Bermudez, David, C, David J. Fernández
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Counting Trees in Supersymmetric Quantum Mechanics [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2015 We study the supersymmetric ground states of the Kronecker model of quiver quantum mechanics. This is the simplest quiver with two gauge groups and bifundamental matter fields, and appears universally in four-dimensional N=2 systems.
Clay Córdova, Shu-Heng Shao
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Supersymmetric quantum mechanics and the Riemann hypothesis [PDF]
International Journal of Modern Physics A, 2022 We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the ...
Pushpa Kalauni, K. Milton
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Quantum chaos in supersymmetric quantum mechanics: An exact diagonalization study [PDF]
Physical Review D, 2022 We use exact diagonalization to study energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension ˆ H S = ˆ H B ⊗ I + ˆ x 1 ⊗ σ 1 + ˆ x 2 ⊗ σ 3 of the bosonic Hamiltonian ˆ H B = ˆ p 21 + ˆ p 22 + ˆ x 21 ˆ ...
P. Buividovich
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Results in Physics, 2022 Supersymmetric quantum mechanics provides a powerful method for solving the Schrödinger equation in quantum mechanics problems. In this paper, a hyperbolic tangent superpotential is generalized according to a new hyperbolic tangent superpotential.
Shi-Kun Zhong +6 more
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Local G 2-manifolds, Higgs bundles and a colored quantum mechanics
Journal of High Energy Physics, 2021 M-theory on local G 2-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered G 2-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle ...
Max Hübner
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The Generalized OTOC from Supersymmetric Quantum Mechanics - Study of Random Fluctuations from Eigenstate Representation of Correlation Functions [PDF]
Symmetry, 2020 The concept of the out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena in the context of quantum statistical mechanics.
Kaushik Y. Bhagat +9 more
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The twisted index and topological saddles
Journal of High Energy Physics, 2022 The twisted index of 3d N $$ \mathcal{N} $$ = 2 gauge theories on S 1 × Σ has an algebro-geometric interpretation as the Witten index of an effective supersymmetric quantum mechanics.
Mathew Bullimore +3 more
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Black hole entropy from quantum mechanics
Journal of High Energy Physics, 2023 We provide evidence for a holographic duality between superconformal quantum mechanics on the moduli space of Yang-Mills instantons and M-theory in certain asymptotically AdS 7 × S 4 backgrounds with a plane-wave boundary metric.
Nick Dorey, Rishi Mouland, Boan Zhao
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Journal of High Energy Physics, 2021 We compute by supersymmetric localization the expectation values of half-BPS ’t Hooft line operators in N $$ \mathcal{N} $$ = 2 U(N ), SO(N ) and USp(N ) gauge theories on S 1 × ℝ3 with an Ω-deformation. We evaluate the non-perturbative contributions due
Hirotaka Hayashi +2 more
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