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In little higgs models a collective symmetry prevents the higgs from acquiring a quadratically divergent mass at one loop. By considering first the littlest higgs model we show that this requires a fine tuning: the couplings in the model…

High Energy Physics - Phenomenology · Physics 2010-12-17 Benjamín Grinstein , Randall Kelley , Patipan Uttayarat

We consider an infinite class of 5d supersymmetric gauge theories involving products of symplectic and unitary groups that arise from D4-branes at orbifold singularities in Type I' string theory. The theories are argued to be dual to warped…

High Energy Physics - Theory · Physics 2017-08-23 Oren Bergman , Diego Rodriguez-Gomez

We study the low energy effective dynamics of four-dimensional $\mathcal{N}=1$ supersymmetric gauge theories of class $\mathcal{S}_k$ on the generalized Coulomb branch. The low energy effective gauge couplings are naturally encoded in…

High Energy Physics - Theory · Physics 2022-03-08 Thomas Bourton , Elli Pomoni , Xinyu Zhang

We analyze the low energy behavior of N=1 supersymmetric gauge theories with SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These theories contain fundamentals transforming under one of the gauge groups as well as…

High Energy Physics - Theory · Physics 2016-08-25 Martin Gremm

Stacks of D3-branes placed at the tip of a cone over a del Pezzo surface provide a way of geometrically engineering a small but rich class of gauge/gravity dualities. We develop tools for understanding the resulting quiver gauge theories…

High Energy Physics - Theory · Physics 2009-11-10 Christopher P. Herzog

This is a companion paper of arXiv:1601.03586. We study Coulomb branches of unframed and framed quiver gauge theories of type $ADE$. In the unframed case they are isomorphic to the moduli space of based rational maps from ${\mathbb C}P^1$…

Representation Theory · Mathematics 2018-05-31 Alexander Braverman , Michael Finkelberg , Hiraku Nakajima

We study four dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-K\"{a}hler structure. Using intersecting complex toric surfaces, we derive a class of N=1 quivers with charged fundamental matter placed on…

High Energy Physics - Theory · Physics 2016-08-03 Adil Belhaj , Moulay Brahim Sedra

We compute, in the large N limit, the quark potential for ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory broken to $SU(N_1) \times SU(N_2)$. At short distances the quarks see only the unbroken gauge symmetry and have an attractive…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Minahan , N. P. Warner

We show that the minimal renormalizable supersymmetric SO(10) GUT with the usual three generations of spinors has a Higgs sector consisting only of a "light" 10-dimensional and "heavy" 126, 126-bar and 210 supermultiplets. The theory has…

High Energy Physics - Phenomenology · Physics 2011-02-09 Charanjit S. Aulakh , Borut Bajc , Alejandra Melfo , Goran Senjanovic , Francesco Vissani

We provide a new extension to the geometric construction of 6d $(1,0)$ SCFTs that encapsulates Higgs branch structures with identical global symmetry but different spectra. In particular, we find that there exist distinct 6d $(1,0)$ SCFTs…

High Energy Physics - Theory · Physics 2022-11-29 Jacques Distler , Monica Jinwoo Kang , Craig Lawrie

We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an ADE quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled…

High Energy Physics - Theory · Physics 2009-11-07 C. Albertsson , B. Brinne , U. Lindstrom , M. Rocek , R. von Unge

We propose a conjectural construction of various slices for double affine Grassmannians as Coulomb branches of 3-dimensional N=4 supersymmetric affine quiver gauge theories. It generalizes the known construction for the usual affine…

Algebraic Geometry · Mathematics 2017-12-19 Michael Finkelberg

This is an introductory article for a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on Coulomb branches.

Representation Theory · Mathematics 2026-05-12 Hiraku Nakajima

We construct a model of an unparticle sector consisting of a supersymmetric SU(N) gauge theory with the number of flavors in the Seiberg conformal window. We couple this sector to the MSSM via heavy messengers. The resulting low energy…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ann E. Nelson , Maurizio Piai , Christopher Spitzer

We describe configurations of 5-branes and 7-branes which realize, when compactified on a circle, new isolated four-dimensional N=2 superconformal field theories recently constructed by Gaiotto. Our diagrammatic method allows to easily…

High Energy Physics - Theory · Physics 2009-09-28 Francesco Benini , Sergio Benvenuti , Yuji Tachikawa

In the context of the standard SUSY GUT scenario, we present a detailed analysis of the softly broken finite supersymmetric grand unified theory. The model, albeit non-minimal, remains very rigid due to the requirement of finiteness. It is…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. I. Kazakov , M. Yu. Kalmykov , I. N. Kondrashuk , A. V. Gladyshev

We present a non-perturbative model of Gauge-Higgs Unification. We consider a five-dimensional pure SU(2) gauge theory with orbifold boundary conditions along the fifth dimension, such that the symmetry is reduced to U(1) at the fixed…

High Energy Physics - Lattice · Physics 2015-06-12 Nikos Irges , Francesco Knechtli , Kyoko Yoneyama

In this paper, we show that the Poisson algebras of cohomological and $K$-theoretic Coulomb branches of 3d $\mathcal{N}=4$ necklace quiver gauge theories provide Poisson structures and Hamiltonians that reproduce the equations of motion of…

High Energy Physics - Theory · Physics 2026-03-10 Gleb Arutyunov , Lukas Hardi

We present a model of electroweak symmetry breaking in which the Higgs boson is a pseudo-Nambu-Goldstone boson. By embedding the standard model SU(2) x U(1) into an SU(4) x U(1) gauge group, one-loop quadratic divergences to the Higgs mass…

High Energy Physics - Phenomenology · Physics 2009-11-10 David E. Kaplan , Martin Schmaltz

This paper explores 3d $\mathcal{N}=4$ quiver gauge theories whose moduli spaces represent nilpotent orbits, S\l odowy slices or, more generally, S\l odowy intersections, which span the Special Pieces of nilcones of Classical or Exceptional…

High Energy Physics - Theory · Physics 2026-03-25 Sam Bennett , Amihay Hanany , Rudolph Kalveks