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

Carta, Federico; Giacomelli, Simone; Mekareeya, Noppadol; Mininno, Alessandro

doi:10.1007/jhep02(2022)014

Cited by 16 publications

(25 citation statements)

References 57 publications

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“…In contrast to the (A n , E 6,7,8 ) theories, the former contain a crepant divisor. Even though the crepant divisors are also present in most of the (D n , D m ) theories studied in our previous work [24], we find that their presence in the (A n , E 6,7,8 ) leads to a much higher level of complication in the Higgs branch structures and in finding the correct mirror theories. For example, it was pointed out in [62] that the (D 4 , E 6 ) theory has a "bad" class S description in the sense of [62] and that the theory can flow to either to a theory of a collection of free hypermultiplets, or an interacting rank-one E 6 theory with a free hypermultiplet.…”

Section: A Comment On 2-group Structurescontrasting

confidence: 51%

“…For simplicity, we focus on the (D n , D m ) theories, 1 whose conformal manifolds were extensively studied in [24]. 2 In fact, using the information from [24], along with [28][29][30], we observe that 1. a (D n , D m ) theory that has a N = 2 preserving non-trivial conformal manifold admits either one or two or six mass parameters, and…”

Section: Realization In a Weakly-gauged Descriptionmentioning

confidence: 99%

“…[7,[12][13][14][15][16][17][18][19][20][21]. In a series of our previous works [22][23][24], the question of identifying the 3d mirror theories for AD theories of (A n , A m ), (A n , D m ) and (D n , D m ) types was completely addressed and settled. As a natural follow-up, one of the main results of this paper is the mirror theories for the (A n , E m ) type theories for m = 6, 7, 8.…”

Section: Introductionmentioning

confidence: 99%

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

Carta,

Giacomelli,

Mekareeya

et al. 2022

Preprint

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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 find that the 1-form symmetries are invariant under the Higgs branch flow, and that they are captured by the non-Higgsable sector at a generic point on the Higgs branch of the AD theory in question. As a consequence, dimensional reduction of an AD theory with a non-trivial 1-form symmetry to 3d leads to a free sector. We utilize these observations, along with other results, to propose systematically the mirror theories for the AD theories of the (A n , E m ) type. As a by-product of these findings, we discover many important results: the Flip-Flip duality for all T [G] theories with simply-laced group G, including the exceptional ones; the class S descriptions of exceptional affine Dynkin diagram such that all gauge groups are special unitary; the universality of the mirror theories for D h ∨ G (G) with h ∨ G the dual Coxeter number of G; and the triviality of the 2-group structure in the (A n , E m ) theories.

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Section: A Comment On 2-group Structurescontrasting

confidence: 51%

Section: Realization In a Weakly-gauged Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Carta,

Giacomelli,

Mekareeya

et al. 2022

Preprint

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“…Other known cases of a duality between unitary and orthosymplectic quivers include, for instance, different 3d mirrors of certain Argyres-Douglas theories [78,79], due to the A 3 ∼ = D 3 Lie algebra isomorphism. So far, the proposed duality has been checked by the match of Higgs/Coulomb Hilbert series in [78,79], but it would be desirable to extend the analysis along the lines of this paper.…”

Section: Jhep02(2022)174mentioning

confidence: 99%

Magnetic quivers and line defects — On a duality between 3d $$ \mathcal{N} $$ = 4 unitary and orthosymplectic quivers

Nawata

Sperling

Wang

et al. 2022

J. High Energ. Phys.

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Supersymmetric Sp(k) quantum chromodynamics with 8 supercharges in space-time dimensions 3 to 6 can be realised by two different Type II brane configurations in the presence of orientifolds. Consequently, two types of magnetic quivers describe the Higgs branch of the Sp(k) SQCD theory. This is a salient example of a general phenomenon: a given hyper-Kähler Higgs branch may admit several magnetic quiver constructions. It is then natural to wonder if these different magnetic quivers, which are described by 3d $$ \mathcal{N} $$ N = 4 theories, are dual theories. In this work, the unitary and orthosymplectic magnetic quiver theories are subjected to a variety of tests, providing evidence that they are IR dual to each other. For this, sphere partition function and supersymmetric indices are compared. Also, we study half BPS line defects and find interesting regularities from the viewpoints of exact results, brane configurations, and 1-form symmetry.

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Section: Jhep06(2022)059 1 Introductionmentioning

confidence: 99%

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

Carta

Giacomelli

Mekareeya

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

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 find that the 1-form symmetries are invariant under the Higgs branch flow, and that they are captured by the non-Higgsable sector at a generic point on the Higgs branch of the AD theory in question. As a consequence, dimensional reduction of an AD theory with a non-trivial 1-form symmetry to 3d leads to a free sector. We utilize these observations, along with other results, to propose systematically the mirror theories for the AD theories of the (An, Em) type. As a by-product of these findings, we discover many important results: the Flip-Flip duality for all T[G] theories with simply-laced group G, including the exceptional ones; the class $$ \mathcal{S} $$ S descriptions of exceptional affine Dynkin diagram such that all gauge groups are special unitary; the universality of the mirror theories for $$ {D}_{h_G^{\vee }} $$ D h G ∨ (G) with $$ {h}_G^{\vee } $$ h G ∨ the dual Coxeter number of G; and the triviality of the 2-group structure in the (An, Em) theories.

show abstract

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

Cited by 16 publications

References 57 publications

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

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

Magnetic quivers and line defects — On a duality between 3d $$ \mathcal{N} $$ = 4 unitary and orthosymplectic quivers

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

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