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We study supersymmetric $SO(N_c)$ gauge theories with $N_f$ flavors of quarks in the vector representation. Among the phenomena we find are dynamically generated superpotentials with physically inequivalent branches, smooth moduli spaces of…

High Energy Physics - Theory · Physics 2009-09-15 K. Intriligator , N. Seiberg

For a $(3+1)$-dimensional generalization of the Schwinger model, we compute the interaction energy between two test charges. The result shows that the static potential profile contains a linear term leading to the confinement of probe…

High Energy Physics - Theory · Physics 2017-05-24 Antonio Aurilia , Patricio Gaete , José A. Helayël-Neto , Euro Spallucci

It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by…

High Energy Physics - Theory · Physics 2022-08-03 Lea E. Bottini , Chiung Hwang , Sara Pasquetti , Matteo Sacchi

The prepotential of N=2* supersymmetric theories with unitary gauge groups in an Omega-background satisfies a modular anomaly equation that can be recursively solved order by order in an expansion for small mass. By requiring that S-duality…

High Energy Physics - Theory · Physics 2015-10-23 M. Billo , M. Frau , F. Fucito , A. Lerda , J. F. Morales

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 show that the N=1 supersymmetric SU(N) gauge theory with 2N flavors without superpotential has not only the standard Seiberg dual description but also another dual description involving two copies of the so-called T_N theory. This is a…

High Energy Physics - Theory · Physics 2015-06-15 Abhijit Gadde , Kazunobu Maruyoshi , Yuji Tachikawa , Wenbin Yan

We study an exactly marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N) using field theory and string theory methods. The classical theory has a Higgs branch for rational values of the deformation parameter. We argue that the…

High Energy Physics - Theory · Physics 2008-11-26 Nick Dorey

In this paper we study dualities for $\mathcal{N}=2$ gauge theories in three dimensions with matter in the fundamental and adjoint representation. The duality we propose, analogous to mirror symmetry, is obtained starting from…

High Energy Physics - Theory · Physics 2019-05-01 Simone Giacomelli

We show that a proposed duality [arXiv:0711.0054] between infinitely coupled gauge theories and superconformal field theories (SCFTs) with weakly gauged flavor groups predicts the existence of new rank 1 SCFTs. These superconformal fixed…

High Energy Physics - Theory · Physics 2009-12-15 Philip C. Argyres , John R. Wittig

We generalize recent methods regarding the construction of complete prepotentials of five dimensional SCFTs to two classes of rank-$N$ theories, i.e. the $X_{1,N}$ and the UV fixed point of the $SU(N+1)_0+2(N+1)$F gauge theories. Their…

High Energy Physics - Theory · Physics 2024-03-27 Francesco Mignosa

New S-dualities in a scale invariant N=2 gauge theory with SU(2) x SU(2) gauge group are derived from embeddings of the theory in two different larger asymptotically free theories. The true coupling space of the scale invariant theory is a…

High Energy Physics - Theory · Physics 2009-10-31 Philip C. Argyres , Alex Buchel

We discuss the phases of four dimensional gauge theories and demonstrate them in solvable examples. Some of our simple examples exhibit confinement and oblique confinement. The theory has dual magnetic and dual dyonic descriptions in which…

High Energy Physics - Theory · Physics 2007-05-23 K. Intriligator , N. Seiberg

The 2+1 dimensional pure SU(N) gauge theories with N <= 4 are candidates for applying the powerful tools of scaling and universality to their deconfinement transitions at finite temperature. The corresponding 2 dimensional q-state Potts…

High Energy Physics - Phenomenology · Physics 2015-05-20 Lorenz von Smekal , Sam R Edwards , Nils Strodthoff

We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N) gauge group. We use the $SL(2,\mathbb{Z})$ action on 3d conformal field theories with U(1) global symmetry. One of generator S of $SL(2,\mathbb{Z})$ acts as…

High Energy Physics - Theory · Physics 2017-09-07 Jaemo Park , Kyung-Jae Park

$N=1$ supersymmetric gauge theories with global flavor symmetries contain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the…

High Energy Physics - Theory · Physics 2009-10-30 P. Ramond

We consider the four dimensional scale invariant N=2 SU quiver gauge theories with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We argue that these theories are realized as six dimensional A_{2N-1} (0,2) theories…

High Energy Physics - Theory · Physics 2009-09-28 Dimitri Nanopoulos , Dan Xie

We search for dual gauge theories of all-loop finite, N = 1 supersymmetric gauge theories. It is shown how to find explicitly the dual gauge theories of almost all chiral, N = 1, all-loop finite gauge theories, while several models have…

High Energy Physics - Theory · Physics 2009-10-07 Andreas Karch , Dieter Lust , George Zoupanos

Four dimensional N=1 supersymmetric gauge theories with unitary gauge groups and matter in the adjoint and fundamental representations give rise to a series of non-trivial fixed points with an ADE classification. Many of these models…

High Energy Physics - Theory · Physics 2014-01-23 David Kutasov , Jennifer Lin

We consider large N zero-coupling d-dimensional U(N) gauge theories, with N_f matter fields in the fundamental representation on a compact spatial manifold S^{d-1} x time, with N_f/N finite. The Gauss' law constraint induces interactions…

High Energy Physics - Theory · Physics 2014-11-18 Howard J. Schnitzer

We provide an M-theory geometric set-up to describe four-dimensional N=1 gauge theories. This is realized by a generalization of Hitchin's equation. This framework encompasses a rich class of theories including superconformal and confining…

High Energy Physics - Theory · Physics 2015-06-16 Giulio Bonelli , Simone Giacomelli , Kazunobu Maruyoshi , Alessandro Tanzini