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This is an introductory article to the theory of multiple gaps.

Logic · Mathematics 2014-06-26 Antonio Avilés

In this paper, we aim to introduce and study the notion of Endo-prime hyperideals.

Commutative Algebra · Mathematics 2025-09-09 Mahdi Anbarloei

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 discuss some aspects of the theory of subelliptic estimates.

Complex Variables · Mathematics 2009-06-02 David W. Catlin , John P. D'Angelo

We briefly review superstring theories, highlighting the important concepts, developments, and open problems of the subject.

Popular Physics · Physics 2007-05-23 Constantin Bachas , Jan Troost

The supersymmetric theory of (color)superconductivity is investigated.

High Energy Physics - Phenomenology · Physics 2007-05-23 Tadafumi Ohsaku

Covering theory is an important tool in representation theory of algebras, however, the results and the proofs are scattered in the literature. We give an introduction to covering theory at a level as elementary as possible.

Representation Theory · Mathematics 2026-05-29 Yuming Liu , Nengqun Li , Bohan Xing , Pengyun Chen

The basic concepts of neutrino physics are presented at a level appropriate for integration into elementary courses on quantum mechanics and/or modern physics.

High Energy Physics - Phenomenology · Physics 2009-10-31 Wick C. Haxton , Barry R. Holstein

In this article, we define the notion of a filtration and then give the basic theorems on initial and progressive enlargements of filtrations.

Probability · Mathematics 2007-12-06 Delia Coculescu , Ashkan Nikeghbali

An introduction to Hyperbolic Analysis is presented.

Mathematical Physics · Physics 2007-05-23 Andrei Khrennikov , Gavriel Segre

These five lectures collect elementary facts about 4D supersymmetric theories with emphasis on N=1 supersymmetry, as well as the basic notions of supersymmetric quantum mechanics. Contents: I. From symmetries to supersymmetry; II. Basic…

High Energy Physics - Theory · Physics 2015-12-25 Evgeny Ivanov

We give an accessible introduction to global singularity theory including the basic structure theorems by Damon, and Pragacz and Weber.

Algebraic Geometry · Mathematics 2017-12-27 Natalia Kolokolnikova

We study the closed and open supermembranes on the maximally supersymmetric pp-wave background. In the framework of the membrane theory, the superalgebra is calculated by using the Dirac bracket and we obtain its central extension by…

High Energy Physics - Theory · Physics 2010-04-05 Katsuyuki Sugiyama , Kentaroh Yoshida

The thesis is devoted to abstract, geometric and symmetric aspects of modern elementary particle theories. A new direction in constructing supersymmetric and superstring models based on consequent and strong consideration and inclusion of…

Mathematical Physics · Physics 2007-05-23 Steven Duplij

We give an elementary introduction to the structure of supergravity theories. This leads to a table with an overview of supergravity and supersymmetry theories in dimensions 4 to 11. The basic steps in constructing supergravity theories are…

High Energy Physics - Theory · Physics 2007-05-23 Antoine Van Proeyen

We review models of supersymmetric quantum mechanics that are important in the description of supermembranes and of Dirichlet particles, which play a role in the context of M-theory.

High Energy Physics - Theory · Physics 2009-10-30 Bernard de Wit

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

High Energy Physics - Phenomenology · Physics 2015-06-25 Keith A. Olive

I give an overview of the motivations for and theory/phenomenology of supersymmetry.

High Energy Physics - Phenomenology · Physics 2009-10-30 J. F. Gunion

A Short Course on Frame Theory.

Information Theory · Computer Science 2011-04-22 Veniamin I. Morgenshtern , Helmut Bölcskei

We prepresent an overview of the status of experiment and theory on the supersolid state of matter.

Superconductivity · Physics 2007-06-13 Philip Phillips , Alexander V. Balatsky