Holography, 1-form symmetries, and confinement

Apruzzi, Fabio; Beest, Marieke van; Gould, Dewi S. W.; Schäfer‐Nameki, Sakura

doi:10.1103/physrevd.104.066005

Cited by 45 publications

(38 citation statements)

References 35 publications

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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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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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“…As we will see, flux-noncommutativity leads to choices of higher form symmetries which appear in a way familiar from holography. For example, in the AdS 5 × S 5 case studied in [23,26,27] ABJM in [28] and the non-conformal dual to confinement in Klebanov-Strassler in [29].) We will obtain analogous couplings from compactification.…”

Section: Introduction 1symmetry Tfts For Qfts From Supergravitymentioning

confidence: 99%

Symmetry TFTs from String Theory

Apruzzi¹,

Bonetti²,

García-Etxebarria³

et al. 2021

Preprint

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We determine the d + 1 dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for d-dimensional QFTs obtained by compactifying M-theory on a non-compact space X. The resulting theory, which we call the Symmetry TFT, or SymTFT for short, is derived by reducing the topological sector of 11d supergravity on the boundary ∂X of the space X. Central to this endeavour is a reformulation of supergravity in terms of differential cohomology, which allows the inclusion of torsion in cohomology of the space ∂X, which in turn gives rise to the background fields for discrete (in particular higher-form) symmetries. We apply this framework to 7d super-Yang Mills, where X = C 2 /Γ ADE , as well as the Sasaki-Einstein links of Calabi-Yau three-fold cones that give rise to 5d superconformal field theories. This M-theory analysis is complemented with a IIB 5-brane web approach, where we derive the SymTFTs from the asymptotics of the 5-brane webs. Our methods apply to both Lagrangian and non-Lagrangian theories, and allow for many generalisations.

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Section: Introductionmentioning

confidence: 99%

Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories

Hosseini,

Moscrop

2021

Preprint

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We study the defect groups of D b p (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 b p (G) theories are given by those of G (b) [k] theories. In the cases of G = A n , E 6 , E 8 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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Holography, 1-form symmetries, and confinement

Cited by 45 publications

References 35 publications

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

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

Symmetry TFTs from String Theory

Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories

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