| Title: | Reflections on the matter of 3D N=1 vacua and local Spin(7) compactifications |
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| Authors: | ID Cvetič, Mirjam (Author)
ID Heckman, Jonathan J. (Author)
ID Torres, Ethan (Author)
ID Zoccarato, Gianluca (Author) |
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| Files: |  Reflections_on_the_matter_of_3D_N=-Cvetic-2022.pdf (910,15 KB)
MD5: 422FE64775D5B111DCD4B34BF1D85219
 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.105.026008#fulltext
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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: | We use Higgs bundles to study the 3D N = 1 vacua obtained from M-theory compactified on a local Spin(7) space given as a four-manifold M-4 of ADE singularities with further generic enhancements in the singularity type along one-dimensional subspaces. There can be strong quantum corrections to the massless degrees of freedom in the low energy effective field theory, but topologically robust quantities such as "parity" anomalies are still calculable. We show how geometric reflections of the compactification space descend to 3D reflections and discrete symmetries. The parity anomalies of the effective field theory descend from topological data of the compactification. The geometric perspective also allows us to track various perturbative and nonperturbative corrections to the 3D effective field theory. We also provide some explicit constructions of well-known 3D theories, including those which arise as edge modes of 4D topological insulators, and 3D N = 1 analogs of grand unified theories. An additional result of our analysis is that we are able to track the spectrum of extended objects and their transformations under higher-form symmetries. |
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| Keywords: | Compactification, geometry, M-theory, quantum field theory, string theory techniques in condensed matter, strings & branes, supersymmetry, topology |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 06.10.2021 |
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| Article acceptance date: | 17.12.2021 |
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| Publication date: | 07.01.2022 |
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| Publisher: | APS |
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| Year of publishing: | 2022 |
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| Number of pages: | 45 str. |
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| Numbering: | Letn. 105, Št. 2 |
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| PID: | 20.500.12556/DKUM-85990  |
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| UDC: | 52 |
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| ISSN on article: | 2470-0029 |
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| COBISS.SI-ID: | 98078467 |
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| DOI: | 10.1103/PhysRevD.105.026008 |
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| Publication date in DKUM: | 25.09.2023 |
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| Views: | 466 |
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| Downloads: | 46 |
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| Metadata: |    |
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| Categories: | Misc.
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