5d SCFTs from decoupling and gluing
We systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d N = (1, 0) SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine the so-called combined fiber diagrams (CFD) introduced in [1–3]. The...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2020
|
| _version_ | 1797079816397127680 |
|---|---|
| author | F Apruzzi Schäfer-Nameki, S YN Wang |
| author_facet | F Apruzzi Schäfer-Nameki, S YN Wang |
| author_sort | F Apruzzi |
| collection | OXFORD |
| description | We systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d N = (1, 0) SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine the so-called combined fiber diagrams (CFD) introduced in [1–3]. The CFDs are graphs that encode the superconformal flavor symmetry, BPS states, low energy descriptions, as well as descendants upon flavor matter decoupling. To obtain a 5d SCFT from 6d, there are two approaches: the first is to consider a circle-reduction combined with mass deformations. The second is to circle-reduce and decouple an entire gauge sector from the theory. The former is applicable e.g. for very Higgsable theories, whereas the latter is required to obtain a 5d SCFT from a non-very Higgsable 6d theory. In the M-theory realization the latter case corresponds to decompactification of a set of compact surfaces in the Calabi-Yau threefold. To exemplify this we consider the 5d SCFTs that descend from non-Higgsable clusters and non-minimal conformal matter theories. Finally, inspired by the quiver structure of 6d theories, we propose a gluing construction for 5d SCFTs from building blocks and their CFDs. |
| first_indexed | 2024-03-07T00:51:12Z |
| format | Journal article |
| id | oxford-uuid:8676da5f-fe99-4a3e-8166-219b1e7434f9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:51:12Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:8676da5f-fe99-4a3e-8166-219b1e7434f92022-03-26T22:04:10Z5d SCFTs from decoupling and gluingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8676da5f-fe99-4a3e-8166-219b1e7434f9EnglishSymplectic ElementsSpringer2020F ApruzziSchäfer-Nameki, SYN WangWe systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d N = (1, 0) SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine the so-called combined fiber diagrams (CFD) introduced in [1–3]. The CFDs are graphs that encode the superconformal flavor symmetry, BPS states, low energy descriptions, as well as descendants upon flavor matter decoupling. To obtain a 5d SCFT from 6d, there are two approaches: the first is to consider a circle-reduction combined with mass deformations. The second is to circle-reduce and decouple an entire gauge sector from the theory. The former is applicable e.g. for very Higgsable theories, whereas the latter is required to obtain a 5d SCFT from a non-very Higgsable 6d theory. In the M-theory realization the latter case corresponds to decompactification of a set of compact surfaces in the Calabi-Yau threefold. To exemplify this we consider the 5d SCFTs that descend from non-Higgsable clusters and non-minimal conformal matter theories. Finally, inspired by the quiver structure of 6d theories, we propose a gluing construction for 5d SCFTs from building blocks and their CFDs. |
| spellingShingle | F Apruzzi Schäfer-Nameki, S YN Wang 5d SCFTs from decoupling and gluing |
| title | 5d SCFTs from decoupling and gluing |
| title_full | 5d SCFTs from decoupling and gluing |
| title_fullStr | 5d SCFTs from decoupling and gluing |
| title_full_unstemmed | 5d SCFTs from decoupling and gluing |
| title_short | 5d SCFTs from decoupling and gluing |
| title_sort | 5d scfts from decoupling and gluing |
| work_keys_str_mv | AT fapruzzi 5dscftsfromdecouplingandgluing AT schafernamekis 5dscftsfromdecouplingandgluing AT ynwang 5dscftsfromdecouplingandgluing |