Top down approach to topological duality defects

Heckman, Jonathan J.; Hübner, Max; Torres, Ethan; Yu, Xingyang; Zhang, Hao Y.

doi:10.1103/physrevd.108.046015

Cited by 24 publications

(1 citation statement)

References 136 publications

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“…We now discuss the possible presence of non-invertible symmetries in S-fold theories. In the case of N = 4 theories, the presence of S-duality orbits can imply the existence of noninvertible duality defects which are built by combining the action of some element of S L(2, ) and the gauging of a discrete one-form symmetry [51][52][53][54][55][56][57][58][59][60][61][62].…”

Section: Non-invertible Symmetriesmentioning

confidence: 99%

One-form symmetries in $\mathcal{N} = 3$ S-folds

Amariti,

Morgante,

Pasternak

et al. 2023

SciPost Phys.

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We classify the global one-form symmetries for non-Lagrangian \mathcal{N}=3𝒩=3 SCFTs that arise by the action of SS-fold projections on D3-branes. Such a classification is dictated, on a generic point of the Coulomb branch, by probing the charge spectrum of (p, q)(p,q)-strings in the brane setup. The charge lattice of lines is then obtained by finding the ones that are genuine modulo screening by dynamical particles. The one-form symmetries are then extracted from the maximal sub-lattices of mutually local lines. We further comment on the existence of non-invertible symmetries for some of these \mathcal{N}=3𝒩=3 SCFTs.

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Section: Non-invertible Symmetriesmentioning

confidence: 99%

One-form symmetries in $\mathcal{N} = 3$ S-folds

Amariti,

Morgante,

Pasternak

et al. 2023

SciPost Phys.

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Non-invertible symmetries, brane dynamics, and tachyon condensation

Bah,

Leung,

Waddleton

2024

J. High Energ. Phys.

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We study the Symmetry Topological Field Theory in holography associated with 4d 𝒩 = 1 Super Yang-Mills theory with gauge algebra 𝔰𝔲(M). From this, all the bulk symmetry operators are computed and matched to various D-brane configurations. The fusion algebra of the operators emerges from brane dynamics. In particular, we show that the symmetry operators are purely determined from the center-of-mass modes of the branes. We identify the TQFT fusion coefficients with the relative motion of the branes. We also establish the origin of condensation defects, arising from fusion of non-invertible operators, as the consequence of tachyon condensation in brane-anti-brane pairs.

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Non-invertible symmetries along 4d RG flows

Damia,

Argurio,

Benini

et al. 2024

J. High Energ. Phys.

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We explore novel examples of RG flows preserving a non-invertible self-duality symmetry. Our main focus is on $$ \mathcal{N} $$ N = 1 quadratic superpotential deformations of 4d $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory with gauge algebra $$ \mathfrak{su}(N) $$ su N . A theory that can be obtained in this way is the so-called $$ \mathcal{N} $$ N = 1* SYM where all adjoint chiral multiplets have a mass. Such IR theory exhibits a rich structure of vacua which we thoroughly examine. Our analysis elucidates the physics of spontaneous breaking of self-duality symmetry occurring in the degenerate gapped vacua. The construction can be generalized, taking as UV starting point a theory of class $$ \mathcal{S} $$ S , to demonstrate how non-invertible self-duality symmetries exist in a variety of $$ \mathcal{N} $$ N = 1 SCFTs. We finally apply this understanding to prove that the conifold theory has a non-invertible self-duality symmetry.

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Top down approach to topological duality defects

Cited by 24 publications

References 136 publications

One-form symmetries in $\mathcal{N} = 3$ S-folds

One-form symmetries in $\mathcal{N} = 3$ S-folds

Non-invertible symmetries, brane dynamics, and tachyon condensation

Non-invertible symmetries along 4d RG flows

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