The geometry of decoupling fields
Abstract We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of N M5-branes probing a ℂ2 /ℤ k singularity on a Riemann surface with fluxes. We follow two different routes. On the one hand, we consider the integration of the anomaly polynomial of the parent 6d SCFT on the Riemann sur...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)197 |
| _version_ | 1811208592419717120 |
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| author | Ibrahima Bah Federico Bonetti Enoch Leung Peter Weck |
| author_facet | Ibrahima Bah Federico Bonetti Enoch Leung Peter Weck |
| author_sort | Ibrahima Bah |
| collection | DOAJ |
| description | Abstract We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of N M5-branes probing a ℂ2 /ℤ k singularity on a Riemann surface with fluxes. We follow two different routes. On the one hand, we consider the integration of the anomaly polynomial of the parent 6d SCFT on the Riemann surface. On the other hand, we perform an anomaly inflow analysis directly from eleven dimensions, from a setup with M5-branes probing a resolved ℂ2 /ℤ k singularity fibered over the Riemann surface. By comparing the 4d anomaly polynomials, we provide a characterization of a class of modes that decouple along the RG flow from six to four dimensions, for generic N, k, and genus. These modes are identified with the flip fields encountered in the Lagrangian descriptions of these 4d models, when they are available. We show that such fields couple to operators originating from M2-branes wrapping the resolution cycles. This provides a geometric origin of flip fields. They interpolate between the 6d theory in the UV, where the M2-brane operators are projected out, and the 4d theory in the IR, where these M2-brane operators are part of the spectrum. |
| first_indexed | 2024-04-12T04:24:08Z |
| format | Article |
| id | doaj.art-1e93f716ccd44b33bab2b112ff6121e9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T04:24:08Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1e93f716ccd44b33bab2b112ff6121e92022-12-22T03:48:07ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022914910.1007/JHEP09(2022)197The geometry of decoupling fieldsIbrahima Bah0Federico Bonetti1Enoch Leung2Peter Weck3Department of Physics and Astronomy, Johns Hopkins UniversityMathematical Institute, University of OxfordDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityAbstract We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of N M5-branes probing a ℂ2 /ℤ k singularity on a Riemann surface with fluxes. We follow two different routes. On the one hand, we consider the integration of the anomaly polynomial of the parent 6d SCFT on the Riemann surface. On the other hand, we perform an anomaly inflow analysis directly from eleven dimensions, from a setup with M5-branes probing a resolved ℂ2 /ℤ k singularity fibered over the Riemann surface. By comparing the 4d anomaly polynomials, we provide a characterization of a class of modes that decouple along the RG flow from six to four dimensions, for generic N, k, and genus. These modes are identified with the flip fields encountered in the Lagrangian descriptions of these 4d models, when they are available. We show that such fields couple to operators originating from M2-branes wrapping the resolution cycles. This provides a geometric origin of flip fields. They interpolate between the 6d theory in the UV, where the M2-brane operators are projected out, and the 4d theory in the IR, where these M2-brane operators are part of the spectrum.https://doi.org/10.1007/JHEP09(2022)197Anomalies in Field and String TheoriesField Theories in Higher DimensionsGlobal SymmetriesM-Theory |
| spellingShingle | Ibrahima Bah Federico Bonetti Enoch Leung Peter Weck The geometry of decoupling fields Journal of High Energy Physics Anomalies in Field and String Theories Field Theories in Higher Dimensions Global Symmetries M-Theory |
| title | The geometry of decoupling fields |
| title_full | The geometry of decoupling fields |
| title_fullStr | The geometry of decoupling fields |
| title_full_unstemmed | The geometry of decoupling fields |
| title_short | The geometry of decoupling fields |
| title_sort | geometry of decoupling fields |
| topic | Anomalies in Field and String Theories Field Theories in Higher Dimensions Global Symmetries M-Theory |
| url | https://doi.org/10.1007/JHEP09(2022)197 |
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