Discrete and higher-form symmetries in SCFTs from wrapped M5-branes

Bah, Ibrahima; Bonetti, Federico; Minasian, Ruben

doi:10.1007/jhep03(2021)196

Cited by 51 publications

(53 citation statements)

References 50 publications

(144 reference statements)

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“…A BF coupling is related to a Stückelberg mechanism by dualization of a p-form gauge field (as reviewed for instance in [44]). Thus, the main physical mechanism observed in the present setup is the same as in [43]. Their 11d origin, however, is different: while in [43] all BF couplings originate from the C 3 G 4 G 4 Chern-Simons term in the M-theory effective action, in the solutions of this paper the Stückleberg coupling originates from a non-trivial Bianchi identity, which is required by self-consistency of G 4 after the Kaluza-Klein vector A β is turned on.…”

Section: Jhep11(2021)140mentioning

confidence: 79%

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

Bah

Bonetti

Minasian

et al. 2021

J. High Energ. Phys.

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105

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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 with an irregular puncture. These notably include the strongly-coupled field theories of Argyres-Douglas type. Our solutions are obtained in 7d gauged supergravity, where they take the form of a warped product of AdS5 and a “half-spindle.” The irregular puncture is modeled by a localized M5-brane source in the internal space of the gravity duals. Our solutions feature a realization of supersymmetry that is distinct from the usual topological twist, as well as an interesting Stückelberg mechanism involving the gauge field associated to a generator of the isometry algebra of the internal space. We check the proposed duality by computing the holographic central charge, the flavor symmetry central charge, and the dimensions of various supersymmetric probe M2-branes, and matching these with the dual Argyres-Douglas field theories. Furthermore, we compute the large-N ’t Hooft anomalies of the field theories using anomaly inflow methods in M-theory, and find perfect agreement with the proposed duality.

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Section: Jhep11(2021)140mentioning

confidence: 79%

“…We conclude this section with a comparison with the spontaneously broken U(1) symmetries in M-theory discussed in [43]. In that reference, the focus is on U(1) p-form symmetries originating from the expansion of the M-theory 3-form C 3 onto cohomology classes.…”

Section: Jhep11(2021)140mentioning

confidence: 97%

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

Bah

Bonetti

Minasian

et al. 2021

J. High Energ. Phys.

Self Cite

105

View full text Add to dashboard Cite

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“…The defect group measures the defects which are not screened by dynamical objects, and as we will see, it is defined by the (relative) homology of W 6 . It has been shown that this object is readily computable through several methods [20][21][22][23][24][25][26][27][28][29][30][31] giving us considerable insight into the higher form symmetries of various field theories.…”

Section: Jhep10(2021)119mentioning

confidence: 99%

Maruyoshi-Song flows and defect groups of $$ {\mathrm{D}}_{\mathrm{p}}^{\mathrm{b}} $$(G) theories

Hosseini

Moscrop

2021

J. High Energ. Phys.

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We study the defect groups of $$ {D}_p^b $$ D p b (G) theories using geometric engineering and BPS quivers. In the simple case when b = h∨(G), we use the BPS quivers of the theory to see that the defect group is compatible with a known Maruyoshi-Song flow. To extend to the case where b ≠ h∨(G), we use a similar Maruyoshi-Song flow to conjecture that the defect groups of $$ {D}_p^b $$ D p b (G) theories are given by those of G(b)[k] theories. In the cases of G = An, E6, E8 we cross check our result by calculating the BPS quivers of the G(b)[k] theories and looking at the cokernel of their intersection matrix.

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“…choosing a global form of the gauge group and possible discrete theta parameters [12] (see also [1]). More recently work related to the higher form symmetry of 4d SCFTs and holography was studied in [13]. In the context of non-Lagrangian 4d N = 2 SCFTs of Argyres-Douglas type the 1-form symmetries were computed using the Type IIB realization using canonical singularities in [14,15], using the general observations in [16][17][18], which are applicable more generally to geometric engineering of SCFTs in string theory.…”

Section: Introductionmentioning

confidence: 99%

1-form symmetries of 4d N=2 class S theories

2021

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We determine the 1-form symmetry group for any 4d4d\mathcal{N}=2𝒩=2 class S theory constructed by compactifying a 6d6d\mathcal{N}=(2,0)𝒩=(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d6d theory has a group of mutually non-local dimension-2 surface operators, modulo screening. Compactifying these surface operators leads to a group of mutually non-local line operators in 4d4d, modulo screening and flavor charges. Complete specification of a 4d4d theory arising from such a compactification requires a choice of a maximal subgroup of mutually local line operators, and the 1-form symmetry group of the chosen 4d4d theory is identified as the Pontryagin dual of this maximal subgroup. We also comment on how to generalize our results to compactifications involving irregular punctures. Finally, to complement the analysis from 6d, we derive the 1-form symmetry from a Type IIB realization of class S theories.

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Discrete and higher-form symmetries in SCFTs from wrapped M5-branes

Cited by 51 publications

References 50 publications

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

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

Maruyoshi-Song flows and defect groups of $$ {\mathrm{D}}_{\mathrm{p}}^{\mathrm{b}} $$(G) theories

1-form symmetries of 4d N=2 class S theories

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