| Title: | 0-form, 1-form, and 2-group symmetries via cutting and gluing of orbifolds |
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| Authors: | ID Cvetič, Mirjam (Author)
ID Heckman, Jonathan J. (Author)
ID Hübner, Max (Author)
ID Torres, Ethan (Author) |
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| Files: |  Cvetic-2022-0-form,_1-form,_and_2-group_symmet.pdf (863,93 KB)
MD5: 14B519F6941F1D89681A09D817DAFAD3
 https://doi.org/10.1103/PhysRevD.106.106003
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | Orbifold singularities of M-theory constitute the building blocks of a broad class of supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of these geometries determine global data on the resulting higher symmetries of these systems. In particular, via a process of cutting and gluing, we show how local orbifold singularities encode the 0-form, 1-form, and 2-group symmetries of the resulting SQFTs. Geometrically, this is obtained from the possible singularities that extend to the boundary of the noncompact geometry. The resulting category of boundary conditions then captures these symmetries and is equivalently specified by the orbifold homology of the boundary geometry. We illustrate these general points in the context of a number of examples, including five-dimensional (5D) superconformal field theories engineered via orbifold singularities, 5D gauge theories engineered via singular elliptically fibered Calabi-Yau threefolds, as well as four-dimensional supersymmetric quantum chromodynamics-like theories engineered via M-theory on noncompact G2 spaces. |
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| Keywords: | F-theory, compactifications, classification, singularities, instantons, geometry |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 05.06.2022 |
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| Article acceptance date: | 10.10.2022 |
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| Publication date: | 10.11.2022 |
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| Publisher: | American Physical Society |
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| Year of publishing: | 2022 |
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| Number of pages: | Str. 1-39 |
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| Numbering: | Letn. 106, Št. 10, št. članka 106003 |
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| PID: | 20.500.12556/DKUM-89027  |
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| UDC: | 530.145 |
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| ISSN on article: | 2470-0029 |
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| COBISS.SI-ID: | 192628227 |
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| DOI: | 10.1103/PhysRevD.106.106003 |
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| Publication date in DKUM: | 06.06.2024 |
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| Views: | 298 |
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| Downloads: | 13 |
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| Metadata: |    |
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| Categories: | Misc.
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