| Preprint | |
| Report number | UPR-1331-TH ; CERN-TH-2024-139 ; arXiv:2408.12600 |
| Title | Cornering Relative Symmetry Theories |
| Author(s) | Cvetič, Mirjam (Pennsylvania U., Dept. Math. ; Pennsylvania U. ; Maribor U.) ; Donagi, Ron (Pennsylvania U., Dept. Math. ; Pennsylvania U.) ; Heckman, Jonathan J. (Pennsylvania U., Dept. Math. ; Pennsylvania U.) ; Hübner, Max (Pennsylvania U., Dept. Math.) ; Torres, Ethan (CERN) |
| Document contact | Contact: arXiv |
| Imprint | 2024-08-22 |
| Number of pages | 105 |
| Note | 105 pages, 22 figures |
| Subject category | math.AT ; Mathematical Physics and Mathematics ; hep-th ; Particle Physics - Theory |
| Abstract | 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 (SymTFT). 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. |
| Other source | Inspire |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) |
Rekord stworzony 2024-10-09, ostatnia modyfikacja 2024-10-11
