Comments on holographic level/rank dualities

Argurio, Riccardo; Caddeo, Alessio

doi:10.1007/jhep08(2022)097

Cited by 3 publications

(1 citation statement)

References 35 publications

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“…It is well known that gauging a global symmetry is interpreted holographically as a mapping from Dirichlet to free (Neumann) boundary conditions for the associated bulk gauge field [72][73][74] (see [75] for a recent application). Equivalently, one may perform a Hodge duality and keep imposing Dirichlet boundary conditions on the dual gauge field.…”

Section: Jhep05(2023)164mentioning

confidence: 99%

Continuous generalized symmetries in three dimensions

Damia

Argurio

Tizzano

2023

J. High Energ. Phys.

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We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous 2-group. All these models can be obtained by performing a gauging procedure in a parent theory revealing a ’t Hooft anomaly in the space of coupling constants when suitable compact scalar background fields are activated. Furthermore, the gauging procedure also implies that our main example has infinitely many non-invertible global symmetries. These can be obtained by dressing the continuous symmetry operators with topological quantum field theories. Finally, we comment on the holographic realization of both 2-group global symmetries and non-invertible symmetries discussed here by introducing a corresponding four-dimensional bulk description in terms of dynamical gauge fields.

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Section: Jhep05(2023)164mentioning

confidence: 99%

Continuous generalized symmetries in three dimensions

Damia

Argurio

Tizzano

2023

J. High Energ. Phys.

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Branes and Non‐Invertible Symmetries

García-Etxebarria

2022

Fortschritte der Physik

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On the symmetry TFT of Yang-Mills-Chern-Simons theory

Argurio,

Benini,

Bertolini

et al. 2024

J. High Energ. Phys.

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Three-dimensional Yang-Mills-Chern-Simons theory has the peculiar property that its one-form symmetry defects have nontrivial braiding, namely they are charged under the same symmetry they generate, which is then anomalous. This poses a few puzzles in describing the corresponding Symmetry TFT in a four-dimensional bulk. First, the braiding between lines at the boundary seems to be ill-defined when such lines are pulled into the bulk. Second, the Symmetry TFT appears to be too trivial to allow for topological boundary conditions encoding all the different global variants. We show that both of these puzzles can be solved by including endable (tubular) surfaces in the class of bulk topological operators one has to consider. In this way, we are able to reproduce all global variants of the theory, with their symmetries and their anomalies. We check the validity of our proposal also against a top-down holographic realization of the same class of theories.

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Comments on holographic level/rank dualities

Cited by 3 publications

References 35 publications

Continuous generalized symmetries in three dimensions

Continuous generalized symmetries in three dimensions

Branes and Non‐Invertible Symmetries

On the symmetry TFT of Yang-Mills-Chern-Simons theory

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