A comment on 4d and 5d BPS states
Abstract We discuss a phenomenon in supersymmetric field theory and string theory whereby compactifying one of the dimensions of spacetime on an arbitrarily large circle can cause BPS states to become unstable. We exemplify this by considering 5d N $$ \mathcal{N} $$ = 1 theories on a circle and thei...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2020)060 |
| _version_ | 1818392992142065664 |
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| author | Shamit Kachru Max Zimet |
| author_facet | Shamit Kachru Max Zimet |
| author_sort | Shamit Kachru |
| collection | DOAJ |
| description | Abstract We discuss a phenomenon in supersymmetric field theory and string theory whereby compactifying one of the dimensions of spacetime on an arbitrarily large circle can cause BPS states to become unstable. We exemplify this by considering 5d N $$ \mathcal{N} $$ = 1 theories on a circle and their embeddings into M-theory via geometric engineering. This implicates a subtle relationship between the BPS states of M-theory on a Calabi-Yau threefold, X , and those of type IIA on X with an arbitrary value of the coupling constant. Intuition for this phenomenon is provided by considering F-theory on a complex K3 surface in a limit where it degenerates to a real K3 surface. |
| first_indexed | 2024-12-14T05:38:13Z |
| format | Article |
| id | doaj.art-3d0208c2f5834ba89040eb5de3d2de29 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T05:38:13Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3d0208c2f5834ba89040eb5de3d2de292022-12-21T23:15:06ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020111010.1007/JHEP01(2020)060A comment on 4d and 5d BPS statesShamit Kachru0Max Zimet1Stanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityAbstract We discuss a phenomenon in supersymmetric field theory and string theory whereby compactifying one of the dimensions of spacetime on an arbitrarily large circle can cause BPS states to become unstable. We exemplify this by considering 5d N $$ \mathcal{N} $$ = 1 theories on a circle and their embeddings into M-theory via geometric engineering. This implicates a subtle relationship between the BPS states of M-theory on a Calabi-Yau threefold, X , and those of type IIA on X with an arbitrary value of the coupling constant. Intuition for this phenomenon is provided by considering F-theory on a complex K3 surface in a limit where it degenerates to a real K3 surface.https://doi.org/10.1007/JHEP01(2020)060Brane Dynamics in Gauge TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Shamit Kachru Max Zimet A comment on 4d and 5d BPS states Journal of High Energy Physics Brane Dynamics in Gauge Theories Supersymmetric Gauge Theory |
| title | A comment on 4d and 5d BPS states |
| title_full | A comment on 4d and 5d BPS states |
| title_fullStr | A comment on 4d and 5d BPS states |
| title_full_unstemmed | A comment on 4d and 5d BPS states |
| title_short | A comment on 4d and 5d BPS states |
| title_sort | comment on 4d and 5d bps states |
| topic | Brane Dynamics in Gauge Theories Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2020)060 |
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