17 papers found.

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The worldvolume theory of M5-branes on an ADE singularity ℝ 5/Γ G can be Higgsed in various ways, corresponding to the possible nilpotent orbits of G. In the F-theory dual picture, this corresponds to activating T-brane data along two stacks of 7-branes and yields a tensor branch realization for a large class of 6D SCFTs. In this paper, we show that the moduli spaces and...

The Hori-Tong and Hori dualities are infrared dualities between two-dimensional gauge theories with \( \mathcal{N} \) = (2, 2) supersymmetry, which are reminiscent of four-dimensional Seiberg dualities. We provide additional evidence for those dualities with U(N c ), USp(2N c ), SO(N ) and O(N ) gauge groups, by matching correlation functions of Coulomb branch operators on a...

M5-branes on an ADE singularity are described by certain six-dimensional “conformal matter” superconformal field theories. Their Higgs moduli spaces contain information about various dynamical processes for the M5s; however, they are not directly accessible due to the lack of a Lagrangian formulation. Using anomaly matching, we compute their dimensions. The result implies that M5...

We study three-dimensional supersymmetric quiver gauge theories with a nonsimply laced global symmetry primarily focusing on framed affine B N quiver theories. Using a supersymmetric partition function on a three sphere, and its transformation under S-duality, we study the three-dimensional ADHM quiver for SO(2N + 1) instantons with a half-integer Chern-Simons coupling. The...

We consider the 6d superconformal field theory realized on M5-branes probing the E 8 end-of-the-world brane on the deformed and resolved ℂ 2/ℤ k singularity. We give an explicit algorithm which determines, for arbitrary holonomy at infinity, the 6d quiver gauge theory on the tensor branch, the type-A class S description of the T 2 compactification, and the star-shaped quiver...

The moduli space of instantons on an ALE space is studied using the moduli space of \( \mathcal{N}=4 \) field theories in three dimensions. For instantons in a simple gauge group G on \( {\mathrm{\mathbb{C}}}^2/{\mathrm{\mathbb{Z}}}_n \), the Hilbert series of such an instanton moduli space is computed from the Coulomb branch of the quiver given by the affine Dynkin diagram of G...

In this paper, we calculate the topological free energy for a number of \( \mathcal{N} \) ≥ 2 Yang-Mills-Chern-Simons-matter theories at large N and fixed Chern-Simons levels. The topological free energy is defined as the logarithm of the partition function of the theory on S 2 × S 1 with a topological A-twist along S 2 and can be reduced to a matrix integral by exploiting the...

The richness of 5d \( \mathcal{N}=1 \) theories with a UV fixed point at infinite coupling is due to the existence of local disorder operators known as instanton operators. By considering the Higgs branch of SU(2) gauge theories with N f ≤ 7 flavours at finite and infinite coupling, we write down the explicit chiral ring relations between instanton operators, the glueball...

We present a formula for the Hilbert series that counts gauge invariant chiral operators in a large class of 3d \( \mathcal{N}\ge 2 \) Yang-Mills-Chern-Simons theories. The formula counts ’t Hooft monopole operators dressed by gauge invariants of a residual gauge theory of massless fields in the monopole background. We provide a general formula for the case of abelian theories...

We study indices for 5d gauge theories on S 1 × S 4 /ℤ n . In the large orbifold limit, n → ∞, we find evidence that the indices become 4d indices in the presence of a ’t Hooft line operator. The non-perturbative part of the index poses some subtleties when being compared to the 4d monopole bubbling which happens in the presence of ’t Hooft line operators. We study such monopole...

We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d \( \mathcal{N}=4 \) superconformal gauge theories T ρ σ (G) corresponding to a set of D3 branes ending on NS5 and D5-branes, with or without O3 planes. Here G is a classical group, σ is a partition of G and ρ a partition of the dual group G ∨. In deriving such a formula we make use of...

The moduli space of instantons on ℂ2 for any simple gauge group is studied using the Coulomb branch of \( \mathcal{N}=4 \) gauge theories in three dimensions. For a given simple group G, the Hilbert series of such an instanton moduli space is computed from the Coulomb branch of the quiver given by the over-extended Dynkin diagram of G. The computation includes the cases of non...

There has been a recent progress in understanding the chiral ring of 3d \( \mathcal{N} \) = 4 superconformal gauge theories by explicitly constructing an exact generating function (Hilbert series) counting BPS operators on the Coulomb branch. In this paper we introduce Coulomb branch Hilbert series in the presence of background magnetic charges for flavor symmetries, which are...

We evaluate the Coulomb branch Hilbert series of mirrors of three dimensional Sicilian theories, which arise from compactifying the 6d (2, 0) theory with symmetry G on a circle times a Riemann surface with punctures. We obtain our result by gluing together the Hilbert series for building blocks T ρ (G), where ρ is a certain partition related to the dual group of G, which we...

Starting from mirror pairs consisting only of linear (framed A-type) quivers, we demonstrate that a wide class of three-dimensional quiver gauge theories with \( \mathcal{N} \) = 4 supersymmetry and their mirror duals can be obtained by suitably gauging flavor symmetries. Infinite families of mirror pairs including various quivers of D and E-type and their affine extensions, star...

We study chiral gauge-invariant operators on moduli spaces of G instantons for any classical group G on A-type ALE spaces using Hilbert Series (HS). Moduli spaces of instantons on an ALE space can be realized as Higgs branches of certain quiver gauge theories which appear as world-volume theories on Dp branes in a Dp-D(p + 4) system with the D(p + 4) branes (with or without O(p...