Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S
A relative theory is a boundary condition of a higher-dimensional topological quantum field theory (TQFT), and carries a non-trivial defect group formed by mutually non-local defects living in the relative theory. Prime examples are 6dN=(2,0) theories that are boundary conditions of 7d TQFTs, with t...
| المؤلفون الرئيسيون: | , , , |
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| التنسيق: | Journal article |
| اللغة: | English |
| منشور في: |
SciPost
2022
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| _version_ | 1826309247337496576 |
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| author | Bhardwaj, L Giacomelli, S Hübner, M Schäfer-Nameki, S |
| author_facet | Bhardwaj, L Giacomelli, S Hübner, M Schäfer-Nameki, S |
| author_sort | Bhardwaj, L |
| collection | OXFORD |
| description | A relative theory is a boundary condition of a higher-dimensional topological quantum field theory (TQFT), and carries a non-trivial defect group formed by mutually non-local defects living in the relative theory. Prime examples are 6dN=(2,0) theories that are boundary conditions of 7d TQFTs, with the defect group arising from surface defects. In this paper, we study codimension-two defects in 6dN=(2,0) theories, and find that the line defects living inside these codimension-two defects are mutually non-local and hence also form a defect group. Thus, codimension-two defects in a 6dN=(2,0) theory are relative defects living inside a relative theory. These relative defects provide boundary conditions for topological defects of the 7d bulk TQFT. A codimension-two defect carrying a non-trivial defect group acts as an irregular puncture when used in the construction of 4dN=2 Class S theories. The defect group associated to such an irregular puncture provides extra "trapped" contributions to the 1-form symmetries of the resulting Class S theories. We determine the defect groups associated to large classes of both conformal and non-conformal irregular punctures. Along the way, we discover many new classes of irregular punctures. A key role in the analysis of defect groups is played by two different geometric descriptions of the punctures in Type IIB string theory: one provided by isolated hypersurface singularities in Calabi-Yau threefolds, and the other provided by ALE fibrations with monodromies. |
| first_indexed | 2024-03-07T07:31:19Z |
| format | Journal article |
| id | oxford-uuid:0b1e1c9a-18f5-4579-bd28-ac8defcefd99 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:31:19Z |
| publishDate | 2022 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:0b1e1c9a-18f5-4579-bd28-ac8defcefd992023-01-31T16:51:53ZRelative defects in relative theories: trapped higher-form symmetries and irregular punctures in class SJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0b1e1c9a-18f5-4579-bd28-ac8defcefd99EnglishSymplectic ElementsSciPost2022Bhardwaj, LGiacomelli, SHübner, MSchäfer-Nameki, SA relative theory is a boundary condition of a higher-dimensional topological quantum field theory (TQFT), and carries a non-trivial defect group formed by mutually non-local defects living in the relative theory. Prime examples are 6dN=(2,0) theories that are boundary conditions of 7d TQFTs, with the defect group arising from surface defects. In this paper, we study codimension-two defects in 6dN=(2,0) theories, and find that the line defects living inside these codimension-two defects are mutually non-local and hence also form a defect group. Thus, codimension-two defects in a 6dN=(2,0) theory are relative defects living inside a relative theory. These relative defects provide boundary conditions for topological defects of the 7d bulk TQFT. A codimension-two defect carrying a non-trivial defect group acts as an irregular puncture when used in the construction of 4dN=2 Class S theories. The defect group associated to such an irregular puncture provides extra "trapped" contributions to the 1-form symmetries of the resulting Class S theories. We determine the defect groups associated to large classes of both conformal and non-conformal irregular punctures. Along the way, we discover many new classes of irregular punctures. A key role in the analysis of defect groups is played by two different geometric descriptions of the punctures in Type IIB string theory: one provided by isolated hypersurface singularities in Calabi-Yau threefolds, and the other provided by ALE fibrations with monodromies. |
| spellingShingle | Bhardwaj, L Giacomelli, S Hübner, M Schäfer-Nameki, S Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S |
| title | Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S |
| title_full | Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S |
| title_fullStr | Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S |
| title_full_unstemmed | Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S |
| title_short | Relative defects in relative theories: trapped higher-form symmetries and irregular punctures in class S |
| title_sort | relative defects in relative theories trapped higher form symmetries and irregular punctures in class s |
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