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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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Journal ArticleDOI

Supersymmetry of a nonstationary Schrödinger equation

TL;DR: The supersymmetry of a one-dimensional time-dependent Schrodinger equation is established in this article, which is intimately connected with the timedependent Darboux transformation, and with the help of this transformation new exactly solvable timedependent potentials are generated.
Journal ArticleDOI

Discrete quantum mechanics

TL;DR: In this article, a comprehensive review of the discrete quantum mechanics with the pure imaginary shifts and the real shifts is presented in parallel with corresponding results in the ordinary quantum mechanics, the main subjects to be covered are the factorized Hamiltonians, the general structure of the solution spaces of the Schr?dinger equation (Crum's theorem and its modification), shape invariance, the exact solvability in the Schr?dinger picture as well as in the Heisenberg picture, the creation/annihilation operators and the dynamical symmetry algebras, the unified theory of exact
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Manifest supersymmetry for BPS walls in N=2 nonlinear sigma models

TL;DR: In this article, a massive hyper-Kahler quotient is introduced to obtain massive N = 2 (8 SUSY) nonlinear sigma models in four dimensions with T ∗ C P n target manifold, which yield BPS wall solutions for the n=1 case.
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Finite-gap systems, tri-supersymmetry and self-isospectrality

TL;DR: In this article, it was shown that any n-gap periodic quantum system with parity-even smooth potential admits 2n − 1 isospectral super-extensions with the partner potential being the original one translated for a half-period.
Journal ArticleDOI

Supersymmetric laser arrays.

TL;DR: In this paper, a supersymmetric laser array is realized that is capable of emitting exclusively in its fundamental transverse mode in a stable manner, which not only pave the way toward devising new schemes for scaling up radiance in integrated lasers, but also, on a more fundamental level, could shed light on the intriguing synergy between non-Hermiticity and supersymmetry.
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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