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This is a pedagogical introduction into theories with branes and extra dimensions. We first discuss the construction of such models from an effective field theory point of view, and then discuss large extra dimensions and some of their…

High Energy Physics - Phenomenology · Physics 2007-05-23 Csaba Csaki

Timescales spanning 24 orders of magnitude smaller than one second can be studied experimentally, and each range is packed with different physical phenomena. This rich range of timescales offers a great context for an innovative…

Physics Education · Physics 2024-07-25 Igor P. Ivanov

These lectures briefly review our current understanding of classical and quantum gravity in three spacetime dimensions, concentrating on the quantum mechanics of closed universes and the (2+1)-dimensional black hole. Three formulations of…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Steven Carlip

These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved problems and conjectures and I hope they may…

Algebraic Geometry · Mathematics 2010-09-27 Michael Atiyah

As the title indicates

High Energy Physics - Theory · Physics 2007-05-23 P. Ramond

Beginning from a discussion of the known most fundamental dynamical structures of the Standard Model of physics, extended into the realms of mathematics and theory by the concept of "supersymmetry" or "SUSY," an introduction to efforts to…

Mathematical Physics · Physics 2020-12-18 Mathew Calkins , S. James Gates , Caroline Klivans

This is an introductory set of lecture notes on quantum cosmology, given in 1995 to an audience with interests ranging from astronomy to particle physics. Topics covered: 1. Introduction: 1.1 Quantum cosmology and quantum gravity; 1.2 A…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. L. Wiltshire

Supersymmetry is studied in 2+1 dimensions. In addition to the multiplets corresponding to those in 3+1 dimensions the Clifford algebra allows an extra set. When the extra chiral multiplet is included, formulating supersymmetric QED3 in the…

High Energy Physics - Theory · Physics 2008-02-03 M. L. Walker , C. J. Burden

We give a brief overview of 20 open theoretical questions in supersymmetric particle physics. The 20 questions we have chosen range from the GeV scale to the Planck scale, and include issues pertaining to the Minimal Supersymmetric Standard…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith R. Dienes , Christopher Kolda

This is an expanded version of the notes to a course taught by the first author at the 1995 Les Houches Summer School. Constraints on a tentative reconciliation of quantum theory and general relativity are reviewed. It is explained what…

High Energy Physics - Theory · Physics 2007-05-23 J. Froehlich , O. Grandjean , A. Recknagel

We give a brief introduction to theories with extra dimensions. We first introduce the basic formalism for studying extra-dimensional theories, including the Kaluza-Klein decomposition and the effective theory for 3-branes. We then focus on…

High Energy Physics - Phenomenology · Physics 2010-03-08 Hsin-Chia Cheng

Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Its rigid structure ensures valuable analytic control over…

High Energy Physics - Theory · Physics 2022-11-02 Mohammad Akhond , Guillermo Arias-Tamargo , Alessandro Mininno , Hao-Yu Sun , Zhengdi Sun , Yifan Wang , Fengjun Xu

We propose descriptions of interacting (1,0) supersymmetric theories without gravity in six dimensions in the infinite momentum frame. They are based on the large N limit of quantum mechanics or 1+1 dimensional field theories with SO(N)…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Shamit Kachru , Eva Silverstein

As an expansion of complex numbers, the quaternions show close relations to numerous physically fundamental concepts. In spite of that, the didactic potential provided by quaternion interrelationships in formulating physical laws are hardly…

Physics Education · Physics 2007-05-23 Martin Erik Horn

A global superalgebra with 32 supercharges and all possible central extensions is studied in order to extract some general properties of duality and hidden dimensions in a theory that treats $p$-branes democratically. The maximal number of…

High Energy Physics - Theory · Physics 2009-10-30 Itzhak Bars

Supersymmetric gauge theories in four dimensions have taught us many important physics lessons. These can both inform and be informed by future work on the lattice. I focus on three issues: the properties of supersymmetric Yang-Mills theory…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew J. Strassler

Extra-dimensions are a common topic in popular descriptions of theoretical physics with which undergraduate student most often have no contact in physics courses. This paper shows how students could be introduced to this topic by presenting…

General Physics · Physics 2017-02-02 Nicolas Deutschmann

It is pointed out that if we allow for the possibility of a multilayered universe, it is possible to maintain exact supersymmetry and arrange, in principle, for the vanishing of the cosmological constant. Superpartner(s) of a known particle…

High Energy Physics - Theory · Physics 2007-05-23 Freydoon Mansouri

In this contributed paper we discuss some aspects of scenarios with Extra Dimensions at the LHC and in cosmic rays.

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Cafarella , Claudio Coriano` , T. N. Tomaras

This set of lectures contain a brief review of some basic supersymmetry and its representations, with emphasis on superspace and superfields. Starting from the Poincar\'e group, the supersymmetric extensions allowed by the Coleman-Mandula…

High Energy Physics - Theory · Physics 2007-05-23 U. Lindström