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An intriguing class of 6d supersymmetric theories are known as little strings theories, which exhibit a rich network of T-dualities. A robust feature of these theories are their Higgs branches. Focusing on the little string theories that…

High Energy Physics - Theory · Physics 2023-12-21 Lorenzo Mansi , Marcus Sperling

We study Higgs branches of field theories with 8 supercharges in 5 and 6 dimensions, focusing on theories realised on 5-brane webs in Type IIB with an O$7^+$ plane, or a D6-D8-NS5 brane system in Type IIA in the presence of an O$8^+$ plane.…

High Energy Physics - Theory · Physics 2025-10-15 Mohammad Akhond , Guillermo Arias-Tamargo , Federico Carta , Julius F. Grimminger , Amihay Hanany

The study of Coulomb branches of 3-dimensional N=4 gauge theories via the associated Hilbert series, the so-called monopole formula, has been proven useful not only for 3-dimensional theories, but also for Higgs branches of 5 and…

High Energy Physics - Theory · Physics 2018-08-28 Amihay Hanany , Marcus Sperling

We present an algorithm to extract the Coulomb branch Hasse diagram of orthosymplectic 3d $\mathcal{N}=4$ quiver gauge theories. The algorithm systematically predicts all descendant theories arising from Coulomb branch Higgsing, thereby…

High Energy Physics - Theory · Physics 2024-12-20 Craig Lawrie , Lorenzo Mansi , Marcus Sperling , Zhenghao Zhong

We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d N=4 superconformal gauge theories T^{\sigma}_{\rho}(G) corresponding to a set of D3 branes ending on NS5 and D5-branes, with or without O3…

High Energy Physics - Theory · Physics 2015-06-23 Stefano Cremonesi , Amihay Hanany , Noppadol Mekareeya , Alberto Zaffaroni

A new type of quiver theories, denoted twin quivers, was recently introduced for studying $5d$ SCFTs engineered by webs of 5-branes ending on 7-branes. Twin quivers provide an alternative perspective on various aspects of such webs,…

High Energy Physics - Theory · Physics 2023-10-18 Sebastian Franco , Diego Rodriguez-Gomez

We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise…

High Energy Physics - Theory · Physics 2021-06-04 Mohammad Akhond , Federico Carta , Siddharth Dwivedi , Hirotaka Hayashi , Sung-Soo Kim , Futoshi Yagi

When $n$ M5 branes coincide on an A type singularity, $\mathbb{C}^2/\mathbb{Z}_k$, there is a multitude of tensionless strings which arise in the spectrum. The low energy theory when all M5 branes are separated at the singularity is given…

High Energy Physics - Theory · Physics 2018-08-15 Amihay Hanany , Gabi Zafrir

Folding identical legs of a simply-laced quiver creates a quiver with a non-simply laced edge. So far, this has been explored for quivers containing unitary gauge groups. In this paper, orthosymplectic quivers are folded, giving rise to a…

High Energy Physics - Theory · Physics 2023-02-23 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Marcus Sperling , Zhenghao Zhong

We use brane configurations and SL(2,Z) symmetry of the type IIB string to construct mirror N=2 supersymmetric gauge theories in three dimensions. The mirror map exchanges Higgs and Coulomb branches, Fayet-Iliopoulos and mass parameters and…

High Energy Physics - Theory · Physics 2009-09-29 Jan de Boer , Kentaro Hori , Yaron Oz , Zheng Yin

Magnetic quivers and Hasse diagrams for Higgs branches of rank 1 $4d$ $\mathcal{N}=2$ SCFTs are provided. These rank 1 theories fit naturally into families of higher rank theories, originating from higher dimensions, which are addressed.

High Energy Physics - Theory · Physics 2020-10-28 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Marcus Sperling , Gabi Zafrir , Zhenghao Zhong

We study the Higgs branches of the 6d $(1,0)$ little string theories that live on the worldvolume of NS5-branes probing an ADE-singularity in the heterotic $E_8 \times E_8$ and $\mathrm{Spin}(32)/\mathbb{Z}_2$ string theories. On the $E_8…

High Energy Physics - Theory · Physics 2024-06-12 Craig Lawrie , Lorenzo Mansi

We detail the Higgs branches of 6d $(1,0)$ superconformal field theories (SCFTs) and little string theories (LSTs) that exhibit supersymmetry-enhancing Higgs branch renormalization group flows to the 6d $(2,0)$ SCFTs and LSTs of type DE.…

High Energy Physics - Theory · Physics 2024-06-06 Craig Lawrie , Lorenzo Mansi

A three-dimensional $\mathcal{N}=4$ gauge theory is constructed whose Higgs branch realizes the affine closure of the cotangent bundle of the minimal nilpotent orbit of $\mathfrak{sl}_n$. This space is a symplectic singularity recently…

High Energy Physics - Theory · Physics 2026-05-15 Amihay Hanany , Deshuo Liu

We approach the topic of Classical group nilpotent orbits from the perspective of their moduli spaces, described in terms of Hilbert series and generating functions. We review the established Higgs and Coulomb branch quiver theory…

High Energy Physics - Theory · Physics 2017-02-10 Amihay Hanany , Rudolph Kalveks

We initiate a systematic study of 2d (0,2) quiver gauge theories on the worldvolume of D1-branes probing singular toric Calabi-Yau 4-folds. We present an algorithm for efficiently calculating the classical mesonic moduli spaces of these…

High Energy Physics - Theory · Physics 2015-09-16 Sebastian Franco , Dongwook Ghim , Sangmin Lee , Rak-Kyeong Seong , Daisuke Yokoyama

We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including $3d~{\cal N}=4$, and Classical gauge groups. The vacuum moduli spaces of many such theories can be parameterised by…

High Energy Physics - Theory · Physics 2020-02-26 Amihay Hanany , Rudolph Kalveks

We study the space of vacua of three-dimensional $\mathcal{N}=4$ theories from a novel approach building on the type IIB brane realization of the theory and in which the insertion of local chiral operators in the path integral is obtained…

High Energy Physics - Theory · Physics 2017-04-26 Benjamin Assel

Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant…

High Energy Physics - Theory · Physics 2021-12-02 Cyril Closset , Sakura Schafer-Nameki , Yi-Nan Wang

Braverman, Finkelberg and Nakajima have recently given a mathematical construction of the Coulomb branches of a large class of $3d$ $\mathcal{N} =4$ gauge theories, as algebraic varieties with Poisson structure. They conjecture that these…

Algebraic Geometry · Mathematics 2021-08-23 Alex Weekes