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 covered…
High Energy Physics
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These are expanded notes of lectures given at the summer school "Gif 2000" in Paris. They constitute the first part of an "Introduction to supersymmetry and supergravity" with the second part on supergravity by J.P. Derendinger to appear soon. The…

In a series of five lectures I review inflationary cosmology. I begin with a description of the initial conditions problems of the FriedmannRobertsonWalker (FRW) cosmology and then explain how inflation, an early period of accelerated expansion,…

We show that the large $N$ limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown…

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$dimensional $AdS$ space with a compact…

We review the holographic correspondence between field theories and string/M\ntheory, focusing on the relation between compactifications of string/M theory\non Antide Sitter spaces and conformal field theories. We review the background\nfor this…

We propose a new higherdimensional mechanism for solving the Hierarchy Problem. The Weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions…

Twocomponent spinors are the basic ingredients for describing fermions in quantum field theory in . 3+1 spacetime dimensions. We develop and review the techniques of the twocomponent spinor formalism and provide a complete set of Feynman rules for…

The PYTHIA program can be used to generate highenergyphysics `events', i.e. sets of outgoing particles produced in the interactions between two incoming particles. The objective is to provide as accurate as possible a representation of event…

In this review article, we discuss the current status of particle dark matter, including experimental evidence and theoretical motivations. We discuss a wide array of candidates for particle dark matter, but focus on neutralinos in models of…

We suggest a means of obtaining certain Green's functions in 3+1dimensional ${\cal N} = 4$ supersymmetric YangMills theory with a large number of colors via noncritical string theory. The noncritical string theory is related to critical string…

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by…

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring School on…

The results gathered here on simple Lie algebras have been selected with attention to the needs of unified model builders who study YangMills theories based on simple, localsymmetry groups that contain as a subgroup the SUw 2 ?? Uw 1 ?? SUc 3…

These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009 and at the IPM String School in Tehran, April 2009. I have focused on a few concrete topics and also on addressing…

Advances in mathematics and physics have often occurred together. The development of Newton’s theory of mechanics and the simultaneous development of the techniques of calculus constitute a classic example of this phenomenon. However, as mathematics…

These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: 1. Conformal theories in d dimensions 2. Conformal theories in 2…

We present an update of the results presented in 1, using 3.1 pb1. In this update the analysis underwent only minor modifications due to changes in the trigger. No resonances were found in the updated sample. We improved the limits set on the…

The correspondence between supergravity (and string theory) on $AdS$ space and boundary conformal field theory relates the thermodynamics of ${\cal N}=4$ super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes…

We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically antide Sitter (AdS) spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by…
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