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In these lectures we present a detailed description of various aspects of gauge theories with extended N=2 and N=4 supersymmetry that are at the basis of recently found exact results. These results include the exact calculation of the low…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Di Vecchia

We study dynanics of $SU(N-4)$ gauge theories with fermions in rank-2 symmetric tensor and $N$ anti-fundamental representations, by perturbing supersymmetric theories with anomaly-mediated supersymmetry breaking. We find the $SU(N)\times…

High Energy Physics - Theory · Physics 2022-02-23 Csaba Csáki , Hitoshi Murayama , Ofri Telem

We revisit the study of singular points in N=2 SQCD with classical gauge groups. Using a technique proposed recently by Gaiotto, Seiberg and Tachikawa we find that the low-energy physics at the maximally singular point involves two…

High Energy Physics - Theory · Physics 2015-06-05 Simone Giacomelli

We review exact results in N=2 supersymmetric gauge theories defined on S^4 and its deformation. We first summarize the construction of rigid SUSY theories on curved backgrounds based on off-shell supergravity, then explain how to apply…

High Energy Physics - Theory · Physics 2017-10-25 Kazuo Hosomichi

The most general SU(3)-singlet space of gauged N=8 supergravity in four-dimensions is studied recently. The SU(3)-invariant six scalar fields are realized by six real four-forms. A family of holographic N=1 supersymmetric RG flows on…

High Energy Physics - Theory · Physics 2014-11-20 Changhyun Ahn

We revisit the study of the maximally singular point in the Coulomb branch of 4d N=2 SU(N) gauge theory with N_f=2n flavors for N_f<2N. When n >= 2, we find that the low-energy physics is described by two non-trivial superconformal field…

High Energy Physics - Theory · Physics 2011-01-27 Davide Gaiotto , Nathan Seiberg , Yuji Tachikawa

In harmonic superspace, the classical equations of motion of $D=4, N=2$ supersymmetric Yang-Mills theory for Minkowski and Euclidean spaces are analyzed. We study dual superfield representations of equations and subsidiary conditions…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Zupnik

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally…

High Energy Physics - Theory · Physics 2009-11-07 Michael Gutperle , Wafic A. Sabra

It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper a specific approach of this problem was used, which is the standard way to treat the radiation damping problem. A $N=2$…

High Energy Physics - Theory · Physics 2015-06-18 Everton M. C. Abreu , Albert C. R. Mendes , Wilson Oliveira

These are introductory lectures on the correspondence between SU(N) gauge theories and Superstring Theory in anti-de Sitter geometries (AdS). The subject combines a number of different topics, including supersymmetric field theory,…

High Energy Physics - Theory · Physics 2007-05-23 J. G. Russo

We study the class of four-dimensional N=4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. We formulate these theories using the machinery of embedding tensors, characterize the full gauge algebras and…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Pierre Derendinger , P. Marios Petropoulos , Nikolaos Prezas

This is the introduction to the collection of review articles "Exact results on N=2 supersymmetric gauge theories". The first three sections are intended to give a general overview over the physical motivations behind this direction of…

High Energy Physics - Theory · Physics 2015-03-11 Jörg Teschner

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 study a recently-found class of RG flows in four dimensions exhibiting enhancement of supersymmetry in the infrared, which provides a lagrangian description of several strongly-coupled N=2 SCFTs. The procedure involves starting from a…

High Energy Physics - Theory · Physics 2018-11-14 Simone Giacomelli

We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The…

High Energy Physics - Theory · Physics 2016-11-07 Francesco Benini , Nikolay Bobev , P. Marcos Crichigno

We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the Wess-Zumino gauge by harmonic expansions of…

High Energy Physics - Theory · Physics 2009-11-10 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the…

High Energy Physics - Theory · Physics 2026-04-23 Tetiana Obikhod

We perform an su(2) Hamiltonian reduction in the bosonic sector of the su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we get the five dimensional N=4 supersymmetric mechanics describing the motion of an isospin…

High Energy Physics - Theory · Physics 2015-05-19 Stefano Bellucci , Sergey Krivonos , Anton Sutulin

We present more examples of dual N=1 SUSY gauge theories. This set of theories is connected by flows to both Seiberg's and Kutasov's dual theories. This provides a unifying picture of the various dual theories. We investigate the dual…

High Energy Physics - Theory · Physics 2009-09-29 O. Aharony , J. Sonnenschein , S. Yankielowicz

We determine the general coupling of a system of scalars and antisymmetric tensors, with at most two derivatives and undeformed gauge transformations, for both rigid and local N=2 supersymmetry in four-dimensional spacetime. Our results…

High Energy Physics - Theory · Physics 2009-11-10 Ulrich Theis , Stefan Vandoren