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Related papers: The Geometry of Supersymmetry / A concise introduc…

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In this thesis we study classical aspects of superconformal field theory via symmetry principles. Specifically, by employing the powerful setup of conformal superspace, we obtain a plethora of new results in the fields of geometric and…

High Energy Physics - Theory · Physics 2024-04-22 Emmanouil S. N. Raptakis

We lay down the foundations for a systematic study of differentiable and algebraic supervarieties, with a special attention to supergroups.

Rings and Algebras · Mathematics 2007-10-31 L. Caston , R. Fioresi

Introductory lectures on the phenomenology of the minimal supersymmetric Standard Model. The emphasis is on general signatures for supersymmetry and on the motivation for constructing supersymmetric models. These lectures are intended for…

High Energy Physics - Phenomenology · Physics 2011-04-11 S. Dawson

The goal of this paper is to experiment new math concepts and theories, especially if they run counter to the classical ones. To prove that contradiction is not a catastrophe, and to learn to handle it in an (un)usual way. To transform the…

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

This is an attempt to present axioms for Euclidean geometry, aiming at the following goals: to work with geometric notions (thus not merely identify points with pairs of numbers, giving a special status to a particular coordinate system);…

History and Overview · Mathematics 2007-05-23 Eliahu Levy

Here I briefly discuss why supersymmetry is considered a leading candidate of physics beyond the standard model. I also highlight the salient features of different supersymmetry breaking models. A few other symmetries, broken or intact,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gautam Bhattacharyya

The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist. List of topics: Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular…

History and Overview · Mathematics 2025-07-08 Anton Petrunin

These short (personal) notes appeared as the result of my attempt to address the question raised in the title.

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov

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

We review recent developments in special geometry and explain its role in the theory of supersymmetric black holes. To make this article self-contained, a short introduction to black holes is given, with emphasis on the laws of black hole…

High Energy Physics - Theory · Physics 2007-05-23 T. Mohaupt

We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss…

Algebraic Geometry · Mathematics 2018-10-09 János Kollár

A pedagogical but concise overview of Riemannian geometry is provided, in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions,…

General Relativity and Quantum Cosmology · Physics 2022-08-19 Adam Marsh

In these lectures I present a basic introduction to supersymmetry, especially to N=1 supersymmetric gauge theories and their renormalization, in the Wess-Zumino gauge. I also discuss the various ways supersymmetry may be broken in order to…

High Energy Physics - Theory · Physics 2007-05-23 Olivier Piguet

We begin with a brief discussion of the building blocks of supersymmetric grand unified theories. We recall some of the compelling theoretical reasons for viewing supersymmetric grand unification as an attractive avenue for physics beyond…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Ananthanarayan , P. Minkowski

These lectures contain an introduction to the theory and practice of weak-scale supersymmetry. They begin with a discussion of the hierarchy problem and the motivation for weak-scale supersymmetry. They continue by developing the coset…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jonathan A. Bagger

We recall the many obstacles which seemed, long ago, to prevent supersymmetry from possibly being a fundamental symmetry of Nature. We also present their solutions, leading to the construction of the supersymmetric extensions of the…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. C. Rodriguez

These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledge in general relativity might be…

High Energy Physics - Theory · Physics 2010-11-08 Sven Krippendorf , Fernando Quevedo , Oliver Schlotterer

These notes are an expanded version of a short course of lectures given for graduate students in particle physics at Oxford. The level was intended to be appropriate for students in both experimental and theoretical particle physics.The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ian J R Aitchison

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background…

High Energy Physics - Theory · Physics 2017-10-25 Thomas T. Dumitrescu

This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning the elementary geometry. It can also be used in mathematics coteries…

History and Overview · Mathematics 2007-05-23 Ruslan Sharipov