# New aspects of Argyres-Douglas theories and their dimensional reduction

@article{Giacomelli2021NewAO, title={New aspects of Argyres-Douglas theories and their dimensional reduction}, author={Simone Giacomelli and Noppadol Mekareeya and Matteo Sacchi}, journal={Journal of High Energy Physics}, year={2021}, volume={2021}, pages={1-60} }

Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD theories engineered in A -type class S $$ \mathcal{S} $$ with one irregular puncture of Type I or Type II and also a regular puncture. These include conformal manifolds, structures of the Higgs branch, as well as the three dimensional gauge theories coming from the reduction on a circle. We find that the latter…

## 22 Citations

5d and 4d SCFTs: canonical singularities, trinions and S-dualities

- Mathematics
- 2021

Abstract
Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical…

Higgs Branches of Argyres-Douglas theories as Quiver Varieties

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We present a general prescription for constructing 3d $\mathcal{N}=4$ Lagrangians for the IR SCFTs that arise from the circle reduction of a large class of Argyres-Douglas theories. The resultant…

M5-brane sources, holography, and Argyres-Douglas theories

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We initiate a study of the holographic duals of a class of four-dimensional $$ \mathcal{N} $$
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Conformal manifolds and 3d mirrors of Argyres-Douglas theories

- Materials Science
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Federico Carta, Simone Giacomelli, Noppadol Mekareeya, and Alessandro Mininno aDepartment of Mathematical Sciences, Durham University, Durham, DH1 3LE, United Kingdom bMathematical Institute,…

Conformal manifolds and 3d mirrors of (Dn, Dm) theories

- MathematicsJournal of High Energy Physics
- 2022

Abstract
The Argyres-Douglas (AD) theories of type (Dn, Dm), realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and…

Higgs, Coulomb, and Hall-Littlewood

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The Higgs branch of 4d N = 2 SCFTs can be analyzed via the Hilbert series of the Higgs branch or, in special cases, by computing the Hall–Littlewood index. For any class S theory corresponding to a…

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D3 branes in the vicinity of an E 6 , E 7 , or E 8 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…

Holographic duals of M5-branes on an irregularly punctured sphere

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We provide explicit holographic duals of M5-branes wrapped on a sphere with one irregular puncture and one regular puncture of arbitrary type. The solutions generalise the solutions…

Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories

- MathematicsJournal of High Energy Physics
- 2022

Abstract
Higher-form symmetries have proved useful in constraining the dynamics of a number of quantum field theories. In the context of the Argyres-Douglas (AD) theories of the (G, G′) type, we…

Snowmass White Paper on SCFTs

- Physics
- 2022

Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of quantum field theory. In this white paper for the Snowmass process we give a brief overview of aspects of…

## References

SHOWING 1-10 OF 89 REFERENCES

3d mirrors of the circle reduction of twisted A2N theories of class S

- Mathematics
- 2020

Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver…

On the superconformal index of Argyres–Douglas theories

- Mathematics, Physics
- 2015

We conjecture a closed-form expression for the Schur limit of the superconformal index of two infinite series of Argyres–Douglas (AD) superconformal field theories (SCFTs): the ( A 1 , A 2 n − 3 ) ?>…

Abelianization and sequential confinement in 2 + 1 dimensions

- Mathematics
- 2017

A bstractWe consider the lagrangian description of Argyres-Douglas theories of type A2N −1, which is a SU(N) gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation…

Three dimensional mirror symmetry beyond ADE quivers and Argyres-Douglas theories

- MathematicsJournal of High Energy Physics
- 2021

Abstract
Mirror symmetry, a three dimensional $$ \mathcal{N} $$
N
= 4 IR duality, has been studied in detail for quiver gauge theories of the ADE-type (as well as their affine versions) with…

Classification of Argyres-Douglas theories from M5 branes

- Mathematics
- 2016

We obtain a large class of new four-dimensional Argyres-Douglas theories by classifying irregular punctures for the six-dimensional (2, 0) superconformal theory of ADE type on a sphere. Along the…

Tropical geometry and five dimensional Higgs branches at infinite coupling

- MathematicsJournal of High Energy Physics
- 2019

A bstractSuperconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three…

Argyres–Douglas theories, S1 reductions, and topological symmetries

- Mathematics
- 2015

In a recent paper, we proposed closed-form expressions for the superconformal indices of the ( A 1 , A 2 n − 3 ) ?> and ( A 1 , D 2 n ) ?> Argyres–Douglas (AD) superconformal field theories (SCFTs)…

Central charges of 𝒩 = 2 superconformal field theories in four dimensions

- PhysicsJournal of High Energy Physics
- 2008

We present a general method for computing the central charges a and c of N=2 superconformal field theories corresponding to singular points in the moduli space of N=2 gauge theories. Our method…

Argyres-Douglas theories, the Macdonald index, and an RG inequality

- Mathematics
- 2015

A bstractWe conjecture closed-form expressions for the Macdonald limits of the super-conformal indices of the (A1, A2n − 3) and (A1, D2n) Argyres-Douglas (AD) theories in terms of certain simple…

A song of protected operator algebras

- Mathematics
- 2019

Superconformal field theories (SCFT) are known to possess solvable yet nontrivial sectors in their full operator algebras. Two prime examples are the chiral algebra sector on a two dimensional plane…