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A fairly elementary introduction to supersymmetric field theories in general and the minimal supersymmetric Standard Model (MSSM) in particular is given. Topics covered include the cancellation of quadratic divergencies, the construction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Manuel Drees

I provide a pedagogical introduction to supersymmetry. The level of discussion is aimed at readers who are familiar with the Standard Model and quantum field theory, but who have had little or no prior exposure to supersymmetry. Topics…

High Energy Physics - Phenomenology · Physics 2016-11-03 Stephen P. Martin

In these introductory lectures, we review the theoretical tools used in constructing supersymmetric field theories and their application to physical models. We first introduce the technology of two-component spinors, which is convenient for…

High Energy Physics - Phenomenology · Physics 2022-05-20 Howard E. Haber , Laurel Stephenson Haskins

These notes are intended to provide an introduction to supersymmetry. The notes begin with supersymmetric quantum mechanics and the basic properties of spinor fields. The supersymmetry of simple theories of spin-zero and spin-one-half…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kevin Cahill

In these Lectures, we present a pedagogical introduction to weak scale supersymmetry phenomenology. A basic understanding of the Standard Model and of the ideas behind Grand Unification, but no prior knowledge of supersymmetry, is assumed.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xerxes Tata

We calculate the most general terms for arbitrary Lagrangians of twisted chiral superfields in 2D (2,2) supersymmetric theories [1]. The scalar and fermion kinetic terms and interactions are given explicitly. We define a set of twisted…

High Energy Physics - Theory · Physics 2019-10-02 Nana Cabo Bizet , Roberto Santos-Silva

We introduce a new set of effective field theory rules for constructing Lagrangians with $\mathcal{N} = 1$ supersymmetry in collinear superspace. In the standard superspace treatment, superfields are functions of the coordinates…

High Energy Physics - Theory · Physics 2020-03-25 Timothy Cohen , Gilly Elor , Andrew J. Larkoski , Jesse Thaler

A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N=1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to…

High Energy Physics - Theory · Physics 2017-01-11 Jean-Pierre Derendinger

These lectures are a very brief introduction to low energy supersymmetry (SUSY). The approach to the construction of SUSY Lagrangians based on the superfield formalism is considered. The minimal supersymmetric standard model (MSSM) is…

High Energy Physics - Phenomenology · Physics 2012-01-04 R. Nevzorov

We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we…

High Energy Physics - Theory · Physics 2007-05-23 Pierre Deligne , Daniel S. Freed

Starting from N=1 scalar and vector supermultiplets in 2+1 dimensions, we construct superfields which constitute Lagrangians invariant under N=2 supersymmetries. We first recover the N=2 supersymmetric Abelian-Higgs model and then the N=2…

High Energy Physics - Theory · Physics 2009-11-10 Jean Alexandre

The purpose of this work is to present some basic concepts about the non-linear sigma model in a simple and direct way. We start with showing the bosonic model and the Wess-Zumino-Witten term, making some comments about its topological…

High Energy Physics - Theory · Physics 2009-09-25 Breno C. O. Imbiriba

We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical…

High Energy Physics - Theory · Physics 2016-08-29 Sergio Ferrara , Renata Kallosh , Antoine Van Proeyen , Timm Wrase

These lectures from the TASI 2012 summer school outline the basics of supersymmetry (SUSY) in 3+1 dimensions. Starting from a ground-up development of superspace, we develop all of the tools necessary to construct SUSY lagrangians. While…

High Energy Physics - Phenomenology · Physics 2022-09-09 Daniele Bertolini , Jesse Thaler , Zoe Thomas

We construct an N=1 supersymmetric gauge theory from z=3 Lifshitz field theory. By modifying the supersymmetry (susy) algebra based on the spacetime symmetry SO(3) $\times$ scaling symmetry, we get a supersymmetric Lagrangian with scalar,…

High Energy Physics - Theory · Physics 2010-08-31 Wei Xue

This is an elementary introduction to basic tools of supersymmetry: the spacetime symmetries, gauge theory and its application in gravity, spinors and superalgebras. Special attention is devoted to conformal and anti-de Sitter algebras.

High Energy Physics - Theory · Physics 2016-02-15 Antoine Van Proeyen

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

Lagrangians for gauge fields and matter fields can be constructed from the infinite dimensional Kac-Moody algebra and group. A continuum regularization is used to obtain such generic lagrangians, which contain new nonlinear and asymmetric…

High Energy Physics - Theory · Physics 2009-10-31 Belal E. Baaquie

When supersymmetry is spontaneously broken it will be generically non-linearly realized. A method to describe the non-linear realization of supersymmetry is with constrained superfields. We discuss the basic features of this description and…

High Energy Physics - Theory · Physics 2017-04-28 Fotis Farakos

The scalar fields of supersymmetric models are coordinates of a geometric space. We propose a formulation of supersymmetry that is covariant with respect to reparametrizations of this target space. Employing chiral multiplets as an example,…

High Energy Physics - Theory · Physics 2017-04-26 Daniel Z. Freedman , Diederik Roest , Antoine Van Proeyen
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