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We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge…

High Energy Physics - Theory · Physics 2016-01-27 Amihay Hanany , Kazunobu Maruyoshi

Supersymmetric gauge theories in four dimensions have taught us many important physics lessons. These can both inform and be informed by future work on the lattice. I focus on three issues: the properties of supersymmetric Yang-Mills theory…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew J. Strassler

We propose some new infra-red dualities for $2d$ $\mathcal{N}=(0,2)$ theories. The first one relates a $USp(2N)$ gauge theory with one antisymmetric chiral, four fundamental chirals and $N$ Fermi singlets to a Landau-Ginzburg model of $N$…

High Energy Physics - Theory · Physics 2020-12-30 Matteo Sacchi

We consider supersymmetric solutions of $D=4$, $\mathcal{N}=2$ Euclidean gauged supergravity coupled to an arbitrary number of vector multiplets. Such solutions admit an R-symmetry Killing vector, $\xi$, constructed as a bilinear in the…

High Energy Physics - Theory · Physics 2025-09-01 Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Alice Lüscher , James Sparks

We construct a new infinite family of N=1 quiver gauge theories which can be Higgsed to the Y^{p,q} quiver gauge theories. The dual geometries are toric Calabi-Yau cones for which we give the toric data. We also discuss the action of…

High Energy Physics - Theory · Physics 2010-12-03 Amihay Hanany , Pavlos Kazakopoulos , Brian Wecht

We find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional $\mathcal{N}=2^*$ supersymmetric Yang-Mills theory on $S^4$. We study a probe fundamental string in…

High Energy Physics - Theory · Physics 2018-05-23 Nikolay Bobev , Fridrik Freyr Gautason , Jesse van Muiden

We propose and test a novel conjectural relation satisfied by the superconformal index of maximally supersymmetric $U(N)$ gauge theory in four dimensions. Analogous relations appear to be also valid for the superconformal indices of a large…

High Energy Physics - Theory · Physics 2021-09-07 Davide Gaiotto , Ji Hoon Lee

We extend the investigation of the recently introduced class ${\cal S}_k$ of 4d $\mathcal{N}=1$ SCFTs, by considering a large family of quiver gauge theories within it, which we denote $\mathcal{S}^1_k$. These theories admit a realization…

High Energy Physics - Theory · Physics 2015-08-12 Sebastian Franco , Hirotaka Hayashi , Angel Uranga

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

We study N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian superconformal field theories induced by compactifying the six dimensional A_1 (2,0) theory on Riemann surfaces with irregular punctures. These are naturally…

High Energy Physics - Theory · Physics 2015-06-03 Giulio Bonelli , Kazunobu Maruyoshi , Alessandro Tanzini

We explore nonrelativistic limits of $\mathcal{N}=1$ quiver gauge theories in 5d. The stringy counterpart of these SCFTs is characterised by torsional string Newton-Cartan (TSNC) sigma models those are defined over non-Lorentzian manifolds.…

High Energy Physics - Theory · Physics 2023-03-01 Dibakar Roychowdhury

All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the…

High Energy Physics - Theory · Physics 2010-04-05 Jorge Bellorin , Tomas Ortin

We study four N=1 SU(N)^6 gauge theories, with bi-fundamental chiral matter and a superpotential. In the infrared, these gauge theories all realize the low-energy world-volume description of N coincident D3-branes transverse to the complex…

High Energy Physics - Theory · Physics 2011-10-11 C. E. Beasley , M. R. Plesser

We describe special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles…

High Energy Physics - Theory · Physics 2009-10-30 L. Baulieu , A. Losev , N. Nekrasov

We construct non-geometric AdS$_4$ solutions of IIB string theory where the fields in overlapping patches are glued by elements of the S-duality group. We obtain them by suitable quotients of compact and non-compact geometric solutions. The…

High Energy Physics - Theory · Physics 2018-07-06 Benjamin Assel , Alessandro Tomasiello

We study a class of 4D $\mathcal{N}=1$ supersymmetric GUT- type models in the framework of the Beasley-Heckman-Vafa theory. We first review general results on MSSM and supersymmetric GUT; and we describe useful tools on 4D quiver gauge…

High Energy Physics - Theory · Physics 2009-08-05 Lalla Btissam Drissi , Leila Medari , El Hassan Saidi

We propose a four-dimensional supersymmetric theory that deconstructs, in a particular limit, the six-dimensional $(2,0)$ theory of type $D_k$. This 4d theory is defined by a necklace quiver with alternating gauge nodes $\mathrm{O}(2k)$ and…

High Energy Physics - Theory · Physics 2018-01-17 Antoine Bourget , Alessandro Pini , Diego Rodriguez-Gomez

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

High Energy Physics - Theory · Physics 2009-10-31 A. Brandhuber , K. Sfetsos

Supersymmetric gauge theories have played a central role in applications of quantum field theory to mathematics. Topologically twisted supersymmetric gauge theories often admit a rigorous mathematical description: for example, the Donaldson…

Quantum Algebra · Mathematics 2017-11-22 Kevin Costello , Claudia Scheimbauer

The scalars in vector multiplets of N=2 supersymmetric theories in 4 dimensions exhibit `special Kaehler geometry', related to duality symmetries, due to their coupling to the vectors. In the literature there is some confusion on the…

High Energy Physics - Theory · Physics 2007-05-23 Ben Craps , Frederik Roose , Walter Troost , Antoine Van Proeyen