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… 
5d and 4d SCFTs: canonical singularities, trinions and S-dualities
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
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
Abstract We initiate a study of the holographic duals of a class of four-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories that are engineered by wrapping M5-branes on a sphere
Conformal manifolds and 3d mirrors of Argyres-Douglas theories
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
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
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
Probing 7-branes on Orbifolds
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
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
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
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
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
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
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
  • A. Dey
  • Mathematics
    Journal 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
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
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
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
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
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
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
...
...