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Main Authors: Apruzzi, Fabio, Bedogna, Francesco, Mancani, Salvo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.11449
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author Apruzzi, Fabio
Bedogna, Francesco
Mancani, Salvo
author_facet Apruzzi, Fabio
Bedogna, Francesco
Mancani, Salvo
contents We construct Symmetry Topological Field Theories (SymTFTs) for continuous subsystem symmetries, which are inherently non-Lorentz-invariant. Our framework produces dual bulk descriptions -- gapped foliated and exotic SymTFTs -- that generate gapless boundary theories with spontaneous subsystem symmetry breaking via interval compactification. In analogy with the sandwich construction of SymTFT, we call this Mille-feuille. This is done by specifying gapped and symmetry-breaking boundary conditions. In this way we obtain the foliated dual realizations of various models, including the XY plaquette, XYZ cube, and $ϕ$, $\hatϕ$ theories. This also captures self-duality symmetries as condensation defects and provides a systematic method for generating free theories that non-linearly realize subsystem symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2504_11449
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SymTFT construction of gapless exotic-foliated dual models
Apruzzi, Fabio
Bedogna, Francesco
Mancani, Salvo
Strongly Correlated Electrons
High Energy Physics - Theory
We construct Symmetry Topological Field Theories (SymTFTs) for continuous subsystem symmetries, which are inherently non-Lorentz-invariant. Our framework produces dual bulk descriptions -- gapped foliated and exotic SymTFTs -- that generate gapless boundary theories with spontaneous subsystem symmetry breaking via interval compactification. In analogy with the sandwich construction of SymTFT, we call this Mille-feuille. This is done by specifying gapped and symmetry-breaking boundary conditions. In this way we obtain the foliated dual realizations of various models, including the XY plaquette, XYZ cube, and $ϕ$, $\hatϕ$ theories. This also captures self-duality symmetries as condensation defects and provides a systematic method for generating free theories that non-linearly realize subsystem symmetries.
title SymTFT construction of gapless exotic-foliated dual models
topic Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2504.11449