Cornering relative symmetry theories

Cvetič, Mirjam; Donagi, Ron; Heckman, Jonathan J.; Hübner, Max; Torres, Ethan

doi:10.1103/PhysRevD.111.085026

Cornering relative symmetry theories

Journal Article · Mon Apr 21 00:00:00 EDT 2025 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.111.085026· OSTI ID:2560936

Cvetič, Mirjam; ; ; ;

The symmetry data of a $d$ -dimensional quantum field theory (QFT) can often be captured in terms of a higher-dimensional symmetry topological field theory. In top-down (i.e., stringy) realizations of this structure, the QFT in question is localized in a higher-dimensional bulk. In many cases of interest, however, the associated ( $d + 1$ )-dimensional bulk is not fully gapped and one must instead consider a filtration of theories to reach a gapped bulk in $D = d + m$ dimensions. Overall, this leads us to a nested structure of relative symmetry theories which descend to coupled edge modes, with the original QFT degrees of freedom localized at a corner of this $D$ -dimensional bulk system. We present a bottom-up characterization of this structure and also show how it naturally arises in a number of string-based constructions of QFTs with both finite and continuous symmetries.

Published by the American Physical Society 2025

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Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0013528

OSTI ID:: 2560936

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 8 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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