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A co-Higgs sheaf is a pair of a torsion-free coherent sheaf $\mathcal{E}$ and a global section of $\mathcal{E}nd(\mathcal{E})\otimes T_X$ with $T_X$ the tangent bundle. We construct $2$-nilpotent co-Higgs sheaves of rank two for some…

Algebraic Geometry · Mathematics 2017-07-28 Edoardo Ballico , Sukmoon Huh

We study 1+1-dimensional theories of vector and hypermultiplets with (4,4) supersymmetry. Despite strong infrared fluctuations, these theories flow in general to distinct conformal field theories on the Coulomb and Higgs branches. In some…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

It is shown that the minimal Higgs sector of a generic N=2 supergravity theory with unbroken N=1 supersymmetry must contain a Higgs hypermultiplet and a vector multiplet. When the multiplets parametrize the quaternionic manifold…

High Energy Physics - Theory · Physics 2009-10-28 S. Ferrara , L. Girardello , M. Porrati

D-branes can end on orbifold planes if the action of the orbifold group includes (-1)^{F_L}. We consider configurations of D-branes ending on such orbifolds and study the low-energy theory on their worldvolume. We apply our results to gauge…

High Energy Physics - Theory · Physics 2010-02-03 Anton Kapustin

We demonstrate the agreement between the Higgs branches of two N=2 theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the…

High Energy Physics - Theory · Physics 2010-01-15 Davide Gaiotto , Andrew Neitzke , Yuji Tachikawa

We explore the properties of five-dimensional supersymmetric gauge theories living on $5$-brane webs in orientifold $5$-plane backgrounds. This allows constructing quiver gauge theories with alternating $USp(2N)$ and $SO(N)$ gauge groups…

High Energy Physics - Theory · Physics 2016-04-20 Gabi Zafrir

We study the Higgs branches of five-dimensional N=1 rank-zero theories obtained from M-theory on two classes non-toric non-compact Calabi-Yau threefolds: Reid's pagodas, and Laufer's examples. Our approach consists in reducing to IIA with…

High Energy Physics - Theory · Physics 2021-05-27 Andrés Collinucci , Mario De Marco , Andrea Sangiovanni , Roberto Valandro

We propose a method for extracting the Higgs and Coulomb branches of a three-dimensional N = 4 quantum field theory from the algebra of local operators in its holomorphic-topological twist using the formalism of raviolo vertex algebras. Our…

Quantum Algebra · Mathematics 2023-10-13 Niklas Garner , Surya Raghavendran , Brian R. Williams

Quotient quiver subtraction is a simple combinatorial prescription for gauging Coulomb branch isometry subgroups of 3d $\mathcal{N}=4$ quiver gauge theories. This paper uses Type IIB brane constructions with $\mathrm{O5}$ planes to extend…

High Energy Physics - Theory · Physics 2026-03-11 Sam Bennett , Amihay Hanany , Guhesh Kumaran

We present a class of chiral non-supersymmetric D=4 field theories in which quadratic divergences appear only at two loops. They may be depicted as ``SUSY quivers'' in which the nodes represent a gauge group with extended e.g., N=4 SUSY…

High Energy Physics - Theory · Physics 2009-11-07 D. Cremades , L. E. Ibanez , F. Marchesano

Chiral rings of two-dimensional (2,2) theories coupled to 4d $\mathcal{N}=2$ theories with matter hypermultiplets are studied. Specifically, the vacua of the twisted superpotential of the 2d theories with vanishing sum of matter charges are…

High Energy Physics - Theory · Physics 2019-01-23 Jong-Hyun Baek

The moduli space of k G-instantons on R^4 for a classical gauge group G is known to be given by the Higgs branch of a supersymmetric gauge theory that lives on Dp branes probing D(p + 4) branes in Type II theories. For p = 3, these (3 + 1)…

High Energy Physics - Theory · Physics 2015-03-17 Sergio Benvenuti , Amihay Hanany , Noppadol Mekareeya

D3 branes stretching between webs of (p,q) 5branes provide an interesting class of 3d N=2 theories. For generic pq-webs however the low energy field theory is not known. We use 3d mirror symmetry and Type IIB S-duality to construct Abelian…

High Energy Physics - Theory · Physics 2016-09-21 Sergio Benvenuti , Sara Pasquetti

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 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

The Higgs sector of the low-energy physics of n of coincident D-branes contains the necessary elements for constructing noncommutative manifolds. The coordinates orthogonal to the coincident branes, as well as their conjugate momenta, take…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Isidro

We present the computation of two-loop Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. The computation is based on the combination of unitarity cut and integration by parts methods in an…

High Energy Physics - Theory · Physics 2019-12-25 Qingjun Jin , Gang Yang

D3 branes in the vicinity of an E6, E7, or E8 stack of 7-branes in flat space are known to host at low energy a famous class of strongly-coupled N = 2 superconformal field theories featuring exceptional global symmetry. What if, instead,…

High Energy Physics - Theory · Physics 2022-09-07 Simone Giacomelli , Marina Moleti , Raffaele Savelli

We study four dimensional N=1 gauge theories that arise on the worldvolume of D3-branes probing complex cones over del Pezzo surfaces. Global symmetries of the gauge theories are made explicit by using a correspondence between bifundamental…

High Energy Physics - Theory · Physics 2009-11-10 Sebastian Franco , Amihay Hanany , Pavlos Kazakopoulos

D3-/D5-/NS5-brane systems with $O3$ orientifold planes realise 3d $\mathcal{N}=4$ gauge theories with orthogonal and symplectic gauge groups on the D3-brane worldvolume. Such setups have long contained an ambiguity regarding the global form…

High Energy Physics - Theory · Physics 2025-03-10 Sam Bennett , Amihay Hanany
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