scholarly journals A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
James Brister ◽  
Zheng Sun ◽  
Greg Yang
Keyword(s):  
Scalar Potential ◽  
Previous Literature ◽  
Scaling Symmetry ◽  
Potential System ◽  
Refined Classification ◽  
Zumino Model ◽  
R Symmetry

Abstract It is known in previous literature that if a Wess-Zumino model with an R-symmetry gives a supersymmetric vacuum, the superpotential vanishes at the vacuum. In this work, we establish a formal notion of genericity, and show that if the R-symmetric superpotential has generic coefficients, the superpotential vanishes term-by-term at a supersymmetric vacuum. This result constrains the form of the superpotential which leads to a supersymmetric vacuum. It may contribute to a refined classification of R-symmetric Wess-Zumino models, and find applications in string constructions of vacua with small superpotentials. A similar result for a scalar potential system with a scaling symmetry is discussed.

scholarly journals Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Zhenhuan Li ◽  
Zheng Sun
Keyword(s):  
Symmetry Breaking ◽  
Supersymmetry Breaking ◽  
Previous Literature ◽  
The Other ◽  
Nonexistence Theorem ◽  
Refined Classification ◽  
R Symmetry

Abstract Counterexample models to the Nelson-Seiberg theorem have been discovered, and their features have been studied in previous literature. All currently known counterexamples have generic superpotentials respecting the R-symmetry, and more R-charge 2 fields than R-charge 0 fields. But they give supersymmetric vacua with spontaneous R-symmetry breaking, thus violate both the Nelson-Seiberg theorem and its revisions. This work proves that the other type of counterexamples do not exist. When there is no R-symmetry, or there are no more R-charge 2 fields than R-charge 0 fields in models with R-symmetries, generic superpotentials always give supersymmetric vacua. There exists no specific arrangement of R-charges or non-R symmetry representations which makes a counterexample with a supersymmetry breaking vacuum. This nonexistence theorem contributes to a refined classification of R-symmetric Wess-Zumino models.

Permutation Min-Entropy and Statistical Complexity Analysis of Electricity Spot Price

2015 ◽  
Vol 14 (04) ◽  
pp. 1550040 ◽  
Author(s):  
Qingju Fan ◽  
Dan Li
Keyword(s):  
Temporal Dynamics ◽  
Complexity Analysis ◽  
Spot Price ◽  
Temporal Correlations ◽  
Price Series ◽  
Statistical Complexity ◽  
Electricity Spot Price ◽  
Insight Into ◽  
Refined Classification

In this study, we investigate the subtle temporal dynamics of California 1999–2000 spot price series based on permutation min-entropy (PME) and complexity-entropy causality plane. The dynamical transitions of price series are captured and the temporal correlations of price series are also discriminated by the recently introduced PME. Moreover, utilizing the CECP, we provide a refined classification of the monthly price dynamics and obtain an insight into the stochastic nature of price series. The results uncover that the spot price signal presents diverse temporal correlations and exhibits a higher stochastic behavior during the periods of crisis.

scholarly journals Geometric aspects of self-adjoint Sturm–Liouville problems

2017 ◽  
Vol 147 (6) ◽  
pp. 1279-1295
Author(s):  
Yicao Wang
Keyword(s):  
Boundary Conditions ◽  
Liouville Equation ◽  
Adjoint Action ◽  
Principal Type ◽  
Unitary Matrices ◽  
Adjoint Orbits ◽  
Sturm Liouville ◽  
Refined Classification ◽  
Adjoint Orbit

In this paper we use U(2), the group of 2 × 2 unitary matrices, to parametrize the space of all self-adjoint boundary conditions for a fixed Sturm–Liouville equation on the interval [0, 1]. The adjoint action of U(2) on itself naturally leads to a refined classification of self-adjoint boundary conditions – each adjoint orbit is a subclass of these boundary conditions. We give explicit parametrizations of those adjoint orbits of principal type, i.e. orbits diffeomorphic to the 2-sphere S2, and investigate the behaviour of the nth eigenvalue λnas a function on such orbits.

AB038. PS02.02: Proposal for refined classification of thymectomy

Mediastinum ◽  
2017 ◽  
Vol 1 ◽  
pp. AB038-AB038 ◽  
Author(s):  
Hiroyuki Shiono ◽  
Hidenori Kusumoto ◽  
Teiko Sakurai
Keyword(s):  
Refined Classification

Automatic Classification of Wood Texture Using Local Binary Pattern & Fuzzy K-Nearest Neighbor

2014 ◽  
Vol 903 ◽  
pp. 315-320
Author(s):  
Ismail Mohd Khairuddin ◽  
Ali Abuassal ◽  
Ali Abdelrahim ◽  
Amar Faiz Zainal Abidin ◽  
Syahrul Hisham Mohamad ◽  
...  
Keyword(s):  
Artificial Intelligence ◽  
Local Binary Pattern ◽  
Nearest Neighbor ◽  
Automatic Classification ◽  
Previous Literature ◽  
K Nearest Neighbor

The price of the wood according to the type of wood. Classification of the woods can be done by studying its texture. This paper introduces Fuzzy k Nearest Neighbor to classify 25 types of wood. The woods images have been taken from the Wood Database of the Centre for Artificial Intelligence & Robotics, Universiti Teknologi Malaysia. The features of wood images are extracted using Local Binary Pattern. The results of this paper shows improvement in wood classification compare to the previous literature.

scholarly journals A refined classification of symmetric cubic graphs

2009 ◽  
Vol 322 (3) ◽  
pp. 722-740 ◽  
Author(s):  
Marston Conder ◽  
Roman Nedela
Keyword(s):  
Cubic Graphs ◽  
Refined Classification

scholarly journals A sufficient condition for counterexamples to the Nelson-Seiberg theorem

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Zheng Sun ◽  
Zipeng Tan ◽  
Lu Yang
Keyword(s):  
Symmetry Breaking ◽  
Previous Literature ◽  
Sufficient Condition ◽  
Independent Field ◽  
Multiple Field ◽  
R Symmetry

Abstract Several counterexample models to the Nelson-Seiberg theorem have been discovered in previous literature, with generic superpotentials respecting the R-symmetry and non-generic R-charge assignments for chiral fields. This work present a sufficient condition for such counterexample models: the number of R-charge 2 fields, which is greater than the number of R-charge 0 fields, must be less than or equal to the number of R-charge 0 fields plus the number of independent field pairs with opposite R-charges and satisfying some extra requirements. We give a correct count of such field pairs when there are multiple field pairs with degenerated R-charges. These models give supersymmetric vacua with spontaneous R-symmetry breaking, thus are counterexamples to both the Nelson-Seiberg theorem and its extensions.

scholarly journals Do Not Tell Me More; You Are Honest: A Preconceived Honesty Bias

2021 ◽  
Vol 12 ◽  
Author(s):  
David Pascual-Ezama ◽  
Adrián Muñoz ◽  
Drazen Prelec
Keyword(s):  
Success Rate ◽  
Ethical Behavior ◽  
Predictive Ability ◽  
Previous Literature ◽  
Detection Accuracy ◽  
New Classification ◽  
Verbal Cues ◽  
Tv Shows ◽  
The Uk

According to the previous literature, only a few papers found better accuracy than a chance to detect dishonesty, even when more information and verbal cues (VCs) improve precision in detecting dishonesty. A new classification of dishonesty profiles has recently been published, allowing us to study if this low success rate happens for all people or if some people have higher predictive ability. This paper aims to examine if (dis)honest people can detect better/worse (un)ethical behavior of others. With this in mind, we designed one experiment using videos from one of the most popular TV shows in the UK where contestants make a (dis)honesty decision upon gaining or sharing a certain amount of money. Our participants from an online MTurk sample (N = 1,582) had to determine under different conditions whether the contestants would act in an (dis)honest way. Three significant results emerged from these two experiments. First, accuracy in detecting (dis)honesty is not different than chance, but submaximizers (compared to maximizers) and radical dishonest people (compare to non-radicals) are better at detecting honesty, while there is no difference in detecting dishonesty. Second, more information and VCs improve precision in detecting dishonesty, but honesty is better detected using only non-verbal cues (NVCs). Finally, a preconceived honesty bias improves specificity (honesty detection accuracy) and worsens sensitivity (dishonesty detection accuracy).

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