Duality walls in the 4d $$ \mathcal{N} $$ = 2 SU(N) gauge theory with 2N flavours

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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 $$ \mathcal{S} $$ 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 admits a description in terms of a linear quiver with unitary and special unitary gauge groups, along with a number of twisted hypermultiplets. The origin of these twisted hypermultiplets is explained from the four dimensional perspective. We also propose the three dimensional mirror theories for such linear quivers. These provide explicit descriptions of the magnetic quivers of all the AD theories in question in terms of quiver diagrams with unitary gauge groups, together with a collection of free hypermultiplets. A number of quiver gauge theories presented in this paper are new and have not been studied elsewhere in the literature.

Section: Jhep03(2021)242mentioning

confidence: 99%

New aspects of Argyres-Douglas theories and their dimensional reduction

Giacomelli

Mekareeya

Sacchi

2021

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“…For other choices of M ∈ SL(2, Z) used in the S-folding, it was conjectured that the dual N = 4 d = 3 SCFTs can be obtained as the IR limit of a class of circular quiver gauge theories with links coupled to the T [U(N ))] theory. Additional investigations of such quiver gauge theories have been made in [14][15][16][17][18][19].…”

Section: Jhep07(2021)151mentioning

confidence: 99%

“…It is an interesting open question to know whether or not there are similar RG flows if the spatially dependent coupling constant τ traces out the same arc but is parametrised as a function of y 3 differently, or more generally, traces out another curve in the upper half plane. 17 In order to preserve supersymmetry we need to have spatially dependent boson and fermion masses as determined from our general analysis in section 2. In the case of N = 4 supersymmetry the identification of the d = 3 SCFTs dual to the S-folds made in [2] implicitly assumed that the details of the parametrisation τ (y 3 ) is not important.…”

Section: Jhep07(2021)151mentioning

confidence: 99%

Marginal deformations and RG flows for type IIB S-folds

Arav

Gauntlett

Roberts

et al. 2021

We construct a continuous one parameter family of AdS4× S1× S5 S-fold solutions of type IIB string theory which have nontrivial SL(2, ℤ) monodromy in the S1 direction. The solutions span a subset of a conformal manifold that contains the known $$ \mathcal{N} $$ N = 4 S-fold SCFT in d = 3, and generically preserve $$ \mathcal{N} $$ N = 2 supersymmetry. We also construct RG flows across dimensions, from AdS5× S5, dual to $$ \mathcal{N} $$ N = 4, d = 4 SYM compactified with a twisted spatial circle, to various AdS4×S1×S5 S-fold solutions, dual to d = 3 SCFTs. We construct additional flows between the AdS5 dual of the Leigh-Strassler SCFT and an $$ \mathcal{N} $$ N = 2 S-fold as well as RG flows between various S-folds.

“…The similarity of our F M [SU(N )] to T [SU(N )], specifically the fact that it possesses two SU(N ) symmetries that are exchanged under its self-duality, suggests that it might as well be the theory living on some 3d duality wall between two 4d theories. For example, in [6,[29][30][31] the duality wall in 4d N = 2 SU(N ) gauge theory with 2N flavors has been considered, which consists of the 3d N = 2 U(N ) gauge theory with 2N flavors and W = M + + M − . In the case N = 1 this corresponds to a deformation of our F M [SU (2)] theory.…”

Section: Jhep01(2020)061 1 Introduction and Outlookmentioning

confidence: 99%

3d dualities from 2d free field correlators: recombination and rank stabilization

Pasquetti

Sacchi

2020

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We propose various new 3d N = 2 dualities exploiting their recently discovered connection to the duality relations for 2d free field CFT correlators. Most of the dualities involve, as the main building block, a quiver theory with monopole superpotential which enjoys various interesting properties such as being self-dual and reducing, in a suitable real mass deformation, to the familiar T [SU(N)] theory. In particular we propose a duality for the U(N) theory with one adjoint and k + 1 fundamental flavors. By iterating some basic dualities we can bring the theory to a stable form which, in turns, allows us to find a dual frame where the rank of the original theory appears as a parameter.