Liberating confinement from Lagrangians: 1-form symmetries and lines in  4d N=1 from 6d N=(2,0)

Bhardwaj, Lakshya; Hübner, Max; Schäfer‐Nameki, Sakura

doi:10.21468/scipostphys.12.1.040

Cited by 28 publications

(17 citation statements)

References 49 publications

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“…At this point, let us mention that our work is a natural continuation of similar recent works [31,39,44,47,59,85] that describe generalized symmetries in terms of properties of the spectrum of arbitrary (generically non-topological) defects. As discussed in these works, this point of view provides novel methods for computing generalized symmetries in stronglycoupled non-Lagrangian systems.…”

Section: Introductionmentioning

confidence: 72%

Anomalies of Generalized Symmetries from Solitonic Defects

Bhardwaj¹,

Bullimore²,

Ferrari³

et al. 2022

Preprint

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We propose the general idea that 't Hooft anomalies of generalized global symmetries can be understood in terms of the properties of solitonic defects, which generically are non-topological defects. The defining property of such defects is that they act as sources for background fields of generalized symmetries. 't Hooft anomalies arise when solitonic defects are charged under these generalized symmetries. We illustrate this idea for several kinds of anomalies in various spacetime dimensions. A systematic exploration is performed in 3d for 0-form, 1-form, and 2-group symmetries, whose 't Hooft anomalies are related to two special types of solitonic defects, namely vortex line defects and monopole operators. This analysis is supplemented with detailed computations of such anomalies in a large class of 3d gauge theories. Central to this computation is the determination of the gauge and 0-form charges of a variety of monopole operators: these involve standard gauge monopole operators, but also fractional gauge monopole operators, as well as monopole operators for 0-form symmetries. The charges of these monopole operators mainly receive contributions from Chern-Simons terms and fermions in the matter content. Along the way, we interpret the vanishing of the global gauge and ABJ anomalies, which are anomalies not captured by local anomaly polynomials, as the requirement that gauge monopole operators and mixed monopole operators for 0-form and gauge symmetries have non-fractional integer charges.

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Section: Introductionmentioning

confidence: 72%

Anomalies of Generalized Symmetries from Solitonic Defects

Bhardwaj¹,

Bullimore²,

Ferrari³

et al. 2022

Preprint

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“…Specializing to the case of elliptic Calabi-Yau n-folds, the results in M-theory have an uplift to F-theory, and thus anomalies in the context of even-dimensional QFTs, like 6d SCFTs (for a review see [107]), 4d N = 1 SQFTs (for a review see [108]) and 2d (0,2) theories [109]. More generally, type IIB compactifications can yield supersymmetric gauge theories, which can have 1-form symmetries [20,[110][111][112][113].…”

Section: A Integral Quantization Of G 4 -Fluxmentioning

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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“…X [1,53] -see also [10,62,63] for related discussions. It is interesting to note that, for 4d SCFTs T 4d X engineered at IHS, non-trivial 1-form symmetries can only arise if the SCFT is non-isolated, as shown in [10].…”

Section: Defects and Higher-form Symmetries In 4d From Type Iibmentioning

confidence: 99%

Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions

Closset¹,

Schäfer‐Nameki²,

Wang³

2021

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Compactification of M-theory and of IIB string theory on threefold canonical singularities gives rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. The resolutions and deformations of the singularities encode salient features of the SCFTs and of their moduli spaces. In this paper, we build on Part 0 of this series [1] and further explore the physics of SCFTs arising from isolated hypersurface singularities. We study in detail these canonical isolated hypersurface singularities that admit a smooth Calabi-Yau (crepant) resolution. Their 5d and 4d physics is discussed and their 3d reduction and mirrors (the magnetic quivers) are determined in many cases. As an explorative tool, we provide a Mathematica code which computes key quantities for any canonical isolated hypersurface singularity, including the 5d rank, the 4d Coulomb branch spectrum and central charges, higher-form symmetries in 4d and 5d, and crepant resolutions.

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Liberating confinement from Lagrangians: 1-form symmetries and lines in 4d N=1 from 6d N=(2,0)

Cited by 28 publications

References 49 publications

Anomalies of Generalized Symmetries from Solitonic Defects

Anomalies of Generalized Symmetries from Solitonic Defects

Symmetry TFTs from String Theory

Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions

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