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We give a modern geometric viewpoint on anomalies in quantum field theory and illustrate it in a 1-dimensional theory: supersymmetric quantum mechanics. This is background for the resolution of worldsheet anomalies in orientifold…

高能物理 - 理论 · 物理学 2014-06-24 Daniel S. Freed

This article reviews the subject of supersymmetry and its breaking. The emphasis is on recent developments in metastable, dynamical supersymmetry breaking, which permit the construction of promising models of particle physics.

高能物理 - 理论 · 物理学 2015-05-20 Michael Dine , John D. Mason

This is a review of basic ideas and mechanisms encountered in the supersymmetry breaking problem at the global level, in supergravity models, and in superstring theory.

高能物理 - 唯象学 · 物理学 2007-05-23 T. R. Taylor

We develop an efficient technique to compute anomalies in supersymmetric theories by combining the so-called nonlocal regularization method and superspace techniques. To illustrate the method we apply it to a four dimensional toy model with…

高能物理 - 理论 · 物理学 2016-08-24 Friedemann Brandt , Jordi París

Supersymmetry might be broken, in the real world, by anomalies that affect composite operators, while leaving the action supersymmetric. New constraint equations that govern the composite operators and their anomalies are examined. It is…

高能物理 - 理论 · 物理学 2007-05-23 John Dixon

Dynamical supersymmetry breaking is a fascinating theoretical problem. It is also of phenomenological significance. A better understanding of this phenomenon can help in model building, which in turn is useful in guiding the search for…

高能物理 - 理论 · 物理学 2009-10-31 Erich Poppitz , Sandip P. Trivedi

The established results concerning the BRS cohomology of supersymmetric theories in four space-time dimensions are briefly reviewed. The current status of knowledge concerning supersymmetry anomalies and the possibility that supersymmetry…

高能物理 - 理论 · 物理学 2007-05-23 J. A. Dixon

In this article, we introduce the notion of stochastic symmetry of a differential equation. It consists in a stochastic flow that acts over a solution of a differential equation and produces another solution of the same equation. In the…

概率论 · 数学 2011-12-19 Pedro J. Catuogno , Luis R. Lucinger

I will sketchily illustrate how the theory of symmetry helps in determining solutions of (deterministic) differential equations, both ODEs and PDEs, staying within the classical theory. I will then present a quick discussion of some more…

数学物理 · 物理学 2017-11-10 Giuseppe Gaeta

The supersymmetry method has proven to be a very powerful tool of study of the statistical properties of energy levels and eigenfunctions in disordered and chaotic systems. The aim of these lectures is to present a tutorial introduction to…

无序系统与神经网络 · 物理学 2007-05-23 Alexander D. Mirlin

A new notion of stochastic transformation is proposed and applied to the study of both weak and strong symmetries of stochastic differential equations (SDEs). The correspondence between an algebra of weak symmetries for a given SDE and an…

概率论 · 数学 2016-08-02 Francesco C. De Vecchi , Paola Morando , Stefania Ugolini

I discuss a new approach to constructing lattices for gauge theories with extended supersymmetry. The lattice theories themselves respect certain supersymmetries, which in many cases allows the target theory to be obtained in the continuum…

高能物理 - 格点 · 物理学 2007-05-23 David B. Kaplan

These lectures contain an introduction to supersymmetric theories and the minimal supersymmetric standard model. Phenomenological and cosmological consequences of supersymmetry are also discussed.

高能物理 - 唯象学 · 物理学 2015-06-25 Keith A. Olive

We analyse the relation between anomalies in their manifestly supersymmetric formulation in superspace and their formulation in Wess-Zumino (WZ) gauges. We show that there is a one-to-one correspondence between the solutions of the…

高能物理 - 理论 · 物理学 2020-02-19 Sergei M. Kuzenko , Adam Schwimmer , Stefan Theisen

Weak-scale supersymmetry is one of the most favoured theories beyond the Standard Model of particle physics that elegantly solves various theoretical and observational problems in both particle physics and cosmology. In this thesis, I…

宇宙学与河外天体物理 · 物理学 2011-11-04 Yashar Akrami

The application and extension of well-known BRST cohomological methods to supersymmetric field theories are discussed. The focus is on the emergence and particular features of supersymmetry algebra cohomology in this context. In particular…

高能物理 - 理论 · 物理学 2017-08-23 Friedemann Brandt

After a short discussion of the intimate relation between the generalized statistics and supersymmetry, we review the recent results on the nonlinear supersymmetry obtained in the context of the quantum anomaly problem and of the universal…

高能物理 - 理论 · 物理学 2008-11-26 Sergey M. Klishevich , Mikhail S. Plyushchay

The effective equation of motion that describes the different monomer alternation along the heteropolymer chain is proposed. On this basis the supersymmetry field scheme is built up to analyze memory and ergodicity breaking effects.

统计力学 · 物理学 2009-10-31 Alexander I. Olemskoi

Various aspects of Supersymmetry in 1-dimensional systems are analyzed.

高能物理 - 理论 · 物理学 2007-05-23 Enrico Deotto

Errors quoted on results are often given in asymmetric form. An account is given of the two ways these can arise in an analysis, and the combination of asymmetric errors is discussed. It is shown that the usual method has no basis and is…

数据分析、统计与概率 · 物理学 2014-11-18 Roger Barlow
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