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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

In this paper we investigate N=1 supersymmetric gauge theories with a product gauge group. By using smoothly confining dynamics, we can find new dualities which include higher-rank tensor fields, and in which the dual gauge group is simple,…

High Energy Physics - Theory · Physics 2016-08-25 Takayuki Hirayama , Koichi Yoshioka

We set up a systematic expansion of the prepotential for ${\cal N}=2$ supersymmetric Yang-Mills theories with SU(N) gauge group in the region of strong coupling where a maximal number of mutually local fields become massless. In particular,…

High Energy Physics - Theory · Physics 2009-10-30 Eric D'Hoker , D. H. Phong

In these lectures, we review the main properties of the topological theory obtained by twisting the N=2 two-dimensional superconformal algebra, associated to supersymmetric string compactifications. In particular, we describe a set of…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , S. Hohenegger

It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully…

High Energy Physics - Theory · Physics 2017-09-07 Rajesh Gopakumar , Juan Maldacena , Shiraz Minwalla , Andrew Strominger

Dualities between quantum field theories have proven to be a powerful tool in various areas of physics. In this paper, we introduce a new perspective for obtaining strong coupling expansions based on a well-known technique -- the…

High Energy Physics - Lattice · Physics 2025-02-11 Nikita A. Ignatyuk , Daniel Skliannyi

We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider abelian and non-abelian T-dualities in closed and open string theories as well as…

High Energy Physics - Theory · Physics 2011-04-15 Y. Lozano

It has been shown that the non-Abelian vortex string in 4D $\mathcal{N}=2$ SQCD with the U(2) gauge group and $N_f=4$ flavors becomes a critical superstring. Its 10D target space is a product of the flat 4D space and an internal noncompact…

High Energy Physics - Theory · Physics 2026-02-03 E. Ievlev , A. Marshakov , G. Sumbatian , A. Yung

We consider non-Abelian strings in N=2 supersymmetric QCD with the U$(N)$ gauge group and $N_f=N$ quark flavors deformed by a mass term for the adjoint matter. This deformation breaks N=2 supersymmetry down to N=1. Dynamics of orientational…

High Energy Physics - Theory · Physics 2016-06-22 S. Monin , M. Shifman , A. Yung

A large class of duality cascades based on quivers arising from non-isolated singularities enjoy adjoint transitions - a phenomenon which occurs when the gauge coupling of a node possessing adjoint matter is driven to strong coupling in a…

High Energy Physics - Theory · Physics 2011-05-26 Dusan Simic

In a recent paper we considered the type 0 string theories, obtained from the ten-dimensional closed NSR string by a GSO projection which excludes space-time fermions, and studied the low-energy dynamics of N coincident D-branes. This led…

High Energy Physics - Theory · Physics 2009-09-17 Igor R. Klebanov , Arkady A. Tseytlin

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on…

High Energy Physics - Theory · Physics 2015-06-25 Cumrun Vafa

The confinement scenario in N=2 supersymmetric gauge theory at the monopole point is reviewed. Basic features of this U(1) confinement are contrasted with those we expect in QCD. In particular, extra states in the hadron spectrum and…

High Energy Physics - Theory · Physics 2007-05-23 Alexei Yung

We consider ${\cal N}=2$ supersymmetric U(1) gauge theory in a nonanticommutative ${\cal N}=2$ harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the nonanticommutative theory so that…

High Energy Physics - Theory · Physics 2009-11-10 Batool Safarzadeh

An analysis is given of interacting dark energy and dark matter where the dark energy is assumed to be an ultralight axionic field with a pseudo-Nambu-Goldstone Boson potential which is in general a superposition of $N$ number of cosine…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-01 Amin Aboubrahim , Andrew H. Giman , Pran Nath

The $\mathscr{N}=2^*$ supersymmetric gauge theory is a massive deformation of $\mathscr{N}=4$, in which the adjoint hypermultiplet gets a mass. We present a D-brane realisation of the (non-)Abelian $\mathscr{N}=2^*$ theory, and compute…

High Energy Physics - Theory · Physics 2018-03-14 Carlo Angelantonj , Ignatios Antoniadis , Marine Samsonyan

We use analytic continuation to extend the gauge/gravity duality nonperturbative description of the strong force coupling into the transition, near-perturbative, regime where perturbative effects become important. By excluding the…

High Energy Physics - Phenomenology · Physics 2024-03-26 Guy F. de Teramond , Arpon Paul , Stanley J. Brodsky , Alexandre Deur , Hans Gunter Dosch , Tianbo Liu , Raza Sabbir Sufian

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

In any Abelian gauge theory with an action periodic in the link variables one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We study new Seiberg-like dualities for 1d $\mathcal{N}=2$ supersymmetric gauge theories -- that is, supersymmetric gauged quantum mechanics -- with unitary gauge group and (anti)fundamental matter in chiral and fermi multiplets, and with…

High Energy Physics - Theory · Physics 2025-12-03 Cyril Closset , James Wynne