http://inspirehep.net/record/499969/files/arXiv:hep-th_9905111.pdf

Large N Field Theories, String Theory and Gravity

http://risa.stanford.edu/teaching/362/particledarkmatter.pdf

Particle dark matter: Evidence, candidates and constraints

Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons nor fermions, but are particles known as non-Abelian anyons, meaning that they obey non-Abelian braiding statistics. Quantum information is stored in states with multiple quasiparticles, which have a topological degeneracy. The unitary gate operations that are necessary for quantum computation are carried out by braiding quasiparticles and then measuring the multiquasiparticle states. The fault tolerance of a topological quantum computer arises from the nonlocal encoding of the quasiparticle states, which makes them immune to errors caused by local perturbations. To date, the only such topological states thought to have been found in nature are fractional quantum Hall states, most prominently the $\ensuremath{\nu}=5∕2$ state, although several other prospective candidates have been proposed in systems as disparate as ultracold atoms in optical lattices and thin-film superconductors. In this review article, current research in this field is described, focusing on the general theoretical concepts of non-Abelian statistics as it relates to topological quantum computation, on understanding non-Abelian quantum Hall states, on proposed experiments to detect non-Abelian anyons, and on proposed architectures for a topological quantum computer. Both the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the $\ensuremath{\nu}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.

Non-Abelian Anyons and Topological Quantum Computation

Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

http://cds.cern.ch/record/147992/files/198312192.pdf

Chiral perturbation theory to one loop

The first edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess. Since the appearance of the first edition much work has been done on the development of phenomenological models of particle behavior based on the supergravity multiplet. Some experimental searches have been carried out and others are planned for the future. For this reason the second edition of the book goes substantially beyond the first. Six new chapters have been added for a total of twenty-six and five new appendices for a total of seven. The new chapters and appendices are primarily aimed at deriving the most general supersymmetric gauge invariant theory of chiral fields interacting with supergravity and expressing it in component form. The book is divided into three sections. After a brief introduction, the first part of the book deals with a description of N=1 supersymmetric non-abelian rigid gauge theory of chiral fields. The second part of the book develops a local supersymmetric theory which is supergravity. The final part describes the coupling of supersymmetric chiral fields to supergravity in a gauge invariant way. The book may be recommended as a pedagogical introduction tomore » the theory of N=1 supergravity. Together with the appendices is is completely self-contained, both in notation and in the concepts used, requiring only some knowledge of field theory as a background.« less

/pdf/supersymmetry-and-supergravity-1dv75osodj.pdf

Supersymmetry and Supergravity

http://cds.cern.ch/record/486885/files/CM-P00058941.pdf

Consequences of anomalous ward identities

http://cds.cern.ch/record/201649/files/CM-P00060236.pdf

Supergauge Transformations in Four-Dimensions

The general structure of phenomenological Lagrangian theories is investigated, and the possible transformation laws of the phenomenological fields under a group are discussed. The manifold spanned by the phenomenological fields has a special point, called the origin. Allowed changes in the field variables, which do not change the on-shell S matrix, must leave the origin fixed. By a suitable choice of fields, the transformations induced by the group on the manifold of the phenomenological fields can be made to have standard forms, which are described in detail. The mathematical problem is equivalent to that of finding all (nonlinear) realizations of a (compact, connected, semisimple) Lie group which become linear when restricted to a given subgroup. The relation between linear representations and nonlinear realization is discussed. The important special case of the chiral groups SU(2)×SU(2) and SU(3)×SU(3) is considered in detail.

Julius Wess

Papers

Supersymmetry and Supergravity

Consequences of anomalous ward identities

Supergauge Transformations in Four-Dimensions

Structure of phenomenological Lagrangians. 1.

Supersymmetry and Supergravity