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We initiate the study of the effects of strongly-coupled gauge interactions on the properties of the topological phases of matter. In particular, we discuss fermionic systems with three spatial dimensions, protected by time reversal…

High Energy Physics - Theory · Physics 2016-08-30 Yuji Tachikawa , Kazuya Yonekura

We analyze approaches to the partial or complete unification of gauge symmetries in theories with dynamical symmetry breaking. Several types of models are considered, including those that (i) involve sufficient unification to quantize…

High Energy Physics - Phenomenology · Physics 2009-11-11 Neil D. Christensen , Robert Shrock

N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that is, for SU(N), SO(N), and Sp(N) is considered. The formal expression for almost all models accepted by the asymptotic freedom are obtained. The equations which…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Shadchin

A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and a condition is additionally imposed on the latter that ensures the classical character…

High Energy Physics - Theory · Physics 2020-08-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

Supersymmetry and Yang-Mills type gauge invariance are two of the essential properties of most, and possibly the most important models in fundamental physics. Supersymmetry is nearly trivial to prove in the (traditionally…

High Energy Physics - Theory · Physics 2009-10-31 Tristan Hubsch

The local symmetry transformations of the quantum effective action for general gauge theory are found. Additional symmetries arise under consideration of background gauges. Together with "trivial" gauge transformations, vanishing on mass…

High Energy Physics - Theory · Physics 2016-08-25 S. Alexandrov

Symmetric gauge fields and invariant metrics in homogeneous spaces are found. Their use for finding exact solutions of the Einstein-Yang-Mills (EYM) equations is discussed.

General Relativity and Quantum Cosmology · Physics 2016-08-14 J. M. Mourão

We construct a (1,2) heterotic string with gauge symmetry and determine its particle spectrum. This theory has a local N=1 worldsheet supersymmetry for left movers and a local N=2 worldsheet supersymmetry for right movers and describes…

High Energy Physics - Theory · Physics 2009-10-30 David M. Pierce

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

The generic supersymmetric standard model is a model built from a supersymmetrized standard model field spectrum the gauge symmetries only. The popular minimal supersymmetric standard model differs from the generic version in having…

High Energy Physics - Phenomenology · Physics 2007-05-23 Otto C. W. Kong

We consider the probem of gauging discrete symmetries. All valid constraints on such symmetries can be understood in the low energy theory in terms of instantons. We note that string perturbation theory often exhibits global discrete…

High Energy Physics - Theory · Physics 2011-09-29 T. Banks , M. Dine

We show that large string threshold corrections can reconcile the string and MSSM unification scales in fermionic strings. This requires at least three moduli with large VEVs which are different from each other and MSSM states arising in an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edi Halyo

Supersymmetric theories are reviewed in the context of field theories. The gauge hierarchy problem in attempting the unification of all fundamental interactions is the strongest motivation of modern development of supersymmetry. Starting…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Sakai

We show that requiring sixteen supersymmetries in quantum mechanical gauge theory implies the existence of a web of constrained interactions. Contrary to conventional wisdom, these constraints extend to arbitrary orders in the momentum…

High Energy Physics - Theory · Physics 2008-11-26 Savdeep Sethi

We review some recent results on phenomenological approaches to strong interactions inspired in gauge/string duality. In particular, we discuss how such models lead to very good estimates for hadronic masses.

High Energy Physics - Theory · Physics 2011-08-04 Henrique Boschi-Filho , Nelson R. F. Braga

In this letter, we reconsider the delicate issue of symmetry and supersymmetry breakings for gauge theories with gauge-field mixings. The purpose is to study generalyzed potentials in the presence of more than a single gauge potential. In…

High Energy Physics - Theory · Physics 2007-05-23 Cristine N. Ferreira , Helder Chavez , Jose A. Helayel-Neto

The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is…

High Energy Physics - Theory · Physics 2009-09-28 E. D. Skvortsov

The recent evidence for neutrino oscillations stimulate us to discuss again the problem of fermion masses and mixings in gauge theories. In the standard model, several forms for quark mass matrices are equivalent. They become ansatze within…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Falcone

These are a set of lecture notes on generalized global symmetries in quantum field theory. The focus is on invertible symmetries with a few comments regarding non-invertible symmetries. The main topics covered are the basics of higher-form…

We give a classification and overview of the confining N=1 supersymmetric gauge theories. For simplicity we consider only theories based on simple gauge groups and no tree-level superpotential. Classification of these theories can be done…

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