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Journal ArticleDOI

Dynamical Breaking of Supersymmetry

Edward Witten
- 05 Oct 1981 - 
- Vol. 188, Iss: 3, pp 513-554
TLDR
In this article, general conditions for dynamical supersymmetry breaking are discussed and examples are given (in 0 + 1 and 2 + 1 dimensions) in which such a program in four dimensions is possible.
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This article is published in Nuclear Physics.The article was published on 1981-10-05. It has received 3270 citations till now. The article focuses on the topics: Supersymmetry breaking & Symmetry breaking.

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Citations
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The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry

TL;DR: In this paper, the Ginzburg-Landau expansion of the grand potential for the Bogoliubov-de Gennes Hamiltonian is determined by integrable nonlinear equations of the AKNS hierarchy, and this provides the natural mathematical framework for a hidden nonlinear quantum mechanical supersymmetry underlying the dynamics.
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The nonlinear superposition principle and the Wei-Norman method

TL;DR: In this paper, group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle, and the Wei-Norman method is applied to obtain the associated differential equation in the group $SL(2,R)$.
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Exactly solvable potentials of the Klein–Gordon equation with the supersymmetry method

TL;DR: In this article, a series of exactly solvable potentials for the one-dimensional Klein-Gordon equation was constructed by means of supersymmetry and shape-invariance approach. But the exact solutions of the Klein -Gordon equation with linear and exponential potentials were not obtained explicitly.
Journal ArticleDOI

Search for supersymmetry at √s= 8 TeV in final states with jets and two same-sign leptons or three leptons with the ATLAS detector

Georges Aad, +2922 more
TL;DR: In this article, the search for supersymmetry at root 8=8 TeV in final states with jets and two same sign leptons or three Leptons with the ATLAS detector.
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The origin of the hidden supersymmetry

TL;DR: The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state, and tubule models) are explained by a special nonlocal unitary transformation as mentioned in this paper.
References
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Journal ArticleDOI

A new proof of the positive energy theorem

TL;DR: In this article, a new proof of the positive energy theorem of classical general relativity was given and it was shown that there are no asymptotically Euclidean gravitational instantons.
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Recent Developments in Gauge Theories

TL;DR: In this paper, the authors present a survey of recent developments on non-perturbative gauge fields by some of the leading experts and innovators in this field, including the Cargese Institute on "Recent Developments on Gauge Theories".
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Chiral-symmetry breakdown in large-N chromodynamics

TL;DR: In this article, it was shown that in the limit of a large number of colors, under reasonable assumptions, this symmetry group must spontaneously break down to diagonal σ(n) under chiral conditions.
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On constrained instantons

TL;DR: In this article, a simple method is presented for doing systematic constrained instanton calculations in models such as φ4 or Higgs theories where the presence of a mass term prevents the existence of a classical solution.
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