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These lectures give an introduction to duality in Quantum Field Theory. We discuss the phases of gauge theories and the implications of the electric-magnetic duality transformation to describe the mechanism of confinement. We review the…

High Energy Physics - Theory · Physics 2009-10-30 Luis Alvarez-Gaume , Frederic Zamora

Lectures presented at the 33rd Karpacz Winter School ``Duality: Strings and Fields'' briefly introducing dualities in four-dimensional quantum field theory, and summarizing results found in supersymmetric field theories. The first lecture…

High Energy Physics - Theory · Physics 2009-10-30 P. C. Argyres

One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of…

High Energy Physics - Theory · Physics 2014-11-21 Valentina Giangreco M. Puletti

We describe heterotic string and M-theory realizations of the Randall-Sundrum (RS) scenario with $\cx N=2$ and $\cx N=1$ supersymmetry in the bulk. Supersymmetry can be broken only on the world brane, a scenario that has been proposed to…

High Energy Physics - Theory · Physics 2014-11-18 P. Mayr

We explore some of the global aspects of duality transformations in String Theory and Field Theory. We analyze in some detail the equivalence of dual models corresponding to different topologies at the level of the partition function and in…

High Energy Physics - Theory · Physics 2009-10-22 E. Alvarez , L. Alvarez-Gaume , J. L. F. Barbon , Y. Lozano

The interplay between T-duality and supersymmetry in string theory is explored. It is shown that T-duality is always compatible with supersymmetry and simply changes a local realization to a non-local one and vice versa. Non-local…

High Energy Physics - Theory · Physics 2007-05-23 Konstadinos Sfetsos

Motivated by the search for a space-time supersymmetric extension of the N=2 string, we construct a particle model which, upon quantization, describes (abelian) self-dual super Yang-Mills in 2+2 dimensions. The local symmetries of the…

High Energy Physics - Theory · Physics 2009-10-31 Anton Galajinsky , Olaf Lechtenfeld

We continue our study of the Lorentz breaking string theories. These theories are defined as string theory with modified Hamiltonian constraint which breaks the Lorentz symmetry of target space-time. We analyze properties of this theory in…

High Energy Physics - Theory · Physics 2015-05-19 J. Kluson , K. L. Panigrahi

We study and extend the duality web unifying different decoupling limits of type II superstring theories and M-theory. We systematically build connections to different corners, such as Matrix theories, nonrelativistic string and M-theory,…

High Energy Physics - Theory · Physics 2024-10-18 Chris D. A. Blair , Johannes Lahnsteiner , Niels A. Obers , Ziqi Yan

This is a short review of string cosmology. We wish to connect string-scale physics as closely as possible to observables accessible to current or near-future experiments. Our possible best hope to do so is a description of inflation in…

High Energy Physics - Theory · Physics 2015-12-07 Alexander Westphal

We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings,…

High Energy Physics - Theory · Physics 2007-05-23 Andrew Neitzke , Cumrun Vafa

These lectures intend to give a pedagogical introduction into some of the developments in string theory during the last years. They include perturbative T-duality and non perturbative S- and U-dualities, their unavoidable demand for…

High Energy Physics - Theory · Physics 2007-05-23 Michael Haack , Boris Kors , Dieter Lust

Double Field Theory (DFT) is a proposal to incorporate T-duality, a distinctive symmetry of string theory, as a symmetry of a field theory defined on a double configuration space. The aim of this review is to provide a pedagogical…

High Energy Physics - Theory · Physics 2013-08-13 Gerardo Aldazabal , Diego Marques , Carmen Nunez

I discuss several aspects of strings as unified theories. After recalling the difficulties of the simplest supersymmetric grand unification schemes I emphasize the distinct features of string unification. An important role in constraining…

High Energy Physics - Theory · Physics 2008-02-06 Luis E. Ibanez

Implications of string-string dualities to cosmological string vacua are discussed. Cosmological vacua of classical string theories comprise of disjoint classses mapped one another by scale-factor T-duality. Each classes are, however,…

High Energy Physics - Theory · Physics 2009-10-30 Soo-Jong Rey

These lectures give a self-contained introduction to supersymmetry from a modern perspective. Emphasis is placed on material essential to understanding duality. Topics include: central charges and BPS-saturated states, supersymmetric…

High Energy Physics - Theory · Physics 2007-05-23 Joseph D. Lykken

Starting from certain 3D non-abelian dual systems, we discuss a number of related dual systems in 2D, some of which are obtained by dimensional reduction. The dualities relate massive scalar and vector fields, and may be relevant for string…

High Energy Physics - Theory · Physics 2008-11-26 H. Gustafsson , S. E. Hjelmeland , U. Lindstrom

We describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle. The method works for both untwisted and twisted circle…

High Energy Physics - Theory · Physics 2024-01-03 Lakshya Bhardwaj

By analyzing super-torsion and brane super-cocycles, we derive a new duality in M-theory, which takes the form of a higher version of T-duality in string theory. This involves a new topology change mechanism abelianizing the 3-sphere…

High Energy Physics - Theory · Physics 2018-05-23 Hisham Sati , Urs Schreiber

We explore two different problems in string theory in which duality relates an ordinary p-form in one theory to a self-dual (p+1)-form in another theory. One problem involves comparing D4-branes to M5-branes, and the other involves…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten
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