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Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles [PDF]

open access: diamondRevista Brasileira de Ensino de Física, 2002
We consider Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of spin-1/2 states, the ...
F. M. Mejía, V. Pleitez
doaj   +3 more sources

Supersymmetry in the time domain and its applications in optics [PDF]

open access: yesNature Communications, 2020
Supersymmetric quantum mechanics enables the description of phenomena exhibiting a supersymmetry only in the space domain. Here, the authors show an underlying time-domain supersymmetry exists in optics, acoustics, and elasticity, and study its ...
Carlos García-Meca   +2 more
doaj   +2 more sources

Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency [PDF]

open access: green, 2006
It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and ...
Falk Bruckmann   +2 more
core   +2 more sources

Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics [PDF]

open access: diamondSymmetry, Integrability and Geometry: Methods and Applications, 2011
This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the background non-Abelian gauge ...
Evgeny A. Ivanov
doaj   +2 more sources

Supersymmetric Wigner–Dunkl quantum mechanics

open access: yesResults in Physics, 2022
Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator.
Shi-Hai Dong   +3 more
doaj   +1 more source

Shape invariance of solvable Schrödinger equations with a generalized hyperbolic tangent superpotential

open access: yesResults 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
doaj   +1 more source

Local G 2-manifolds, Higgs bundles and a colored quantum mechanics

open access: yesJournal 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
doaj   +1 more source

The twisted index and topological saddles

open access: yesJournal 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
doaj   +1 more source

Black hole entropy from quantum mechanics

open access: yesJournal 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
doaj   +1 more source

ABCD of ’t Hooft operators

open access: yesJournal 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
doaj   +1 more source

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