6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications
Abstract We show that the pure gauge anomalies of 6d N $$ \mathcal{N} $$ = (1, 0) theories compactified on a circle are captured by field-dependent Chern-Simons terms appearing at one-loop in the 5d effective theories. These terms vanish if and only if anomalies are canceled. In order to obtain this...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)133 |
| _version_ | 1818258002776424448 |
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| author | Pierre Corvilain |
| author_facet | Pierre Corvilain |
| author_sort | Pierre Corvilain |
| collection | DOAJ |
| description | Abstract We show that the pure gauge anomalies of 6d N $$ \mathcal{N} $$ = (1, 0) theories compactified on a circle are captured by field-dependent Chern-Simons terms appearing at one-loop in the 5d effective theories. These terms vanish if and only if anomalies are canceled. In order to obtain this result, it is crucial to integrate out the massive Kaluza-Klein modes in a way that preserves 6d Lorentz invariance; the often-used zeta-function regularization is not sufficient. Since such field-dependent Chern-Simons terms do not arise in the reduction of M-theory on a threefold, six-dimensional F-theory compactifications are automatically anomaly free, whenever the M/F-duality can be used. A perfect match is then found between the 5d N $$ \mathcal{N} $$ = 1 prepotentials of the classical M-theory reduction and one-loop circle compactification of an anomaly free theory. Finally, from this potential, we read off the quantum corrections to the gauge coupling functions. |
| first_indexed | 2024-12-12T17:52:37Z |
| format | Article |
| id | doaj.art-1bf844824dcc4981ab23eadf0a73e1a3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T17:52:37Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1bf844824dcc4981ab23eadf0a73e1a32022-12-22T00:16:47ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020812310.1007/JHEP08(2020)1336d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implicationsPierre Corvilain0Instituto de Física Teórica UAM-CSICAbstract We show that the pure gauge anomalies of 6d N $$ \mathcal{N} $$ = (1, 0) theories compactified on a circle are captured by field-dependent Chern-Simons terms appearing at one-loop in the 5d effective theories. These terms vanish if and only if anomalies are canceled. In order to obtain this result, it is crucial to integrate out the massive Kaluza-Klein modes in a way that preserves 6d Lorentz invariance; the often-used zeta-function regularization is not sufficient. Since such field-dependent Chern-Simons terms do not arise in the reduction of M-theory on a threefold, six-dimensional F-theory compactifications are automatically anomaly free, whenever the M/F-duality can be used. A perfect match is then found between the 5d N $$ \mathcal{N} $$ = 1 prepotentials of the classical M-theory reduction and one-loop circle compactification of an anomaly free theory. Finally, from this potential, we read off the quantum corrections to the gauge coupling functions.http://link.springer.com/article/10.1007/JHEP08(2020)133Anomalies in Field and String TheoriesF-TheoryM-TheoryGauge Symmetry |
| spellingShingle | Pierre Corvilain 6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications Journal of High Energy Physics Anomalies in Field and String Theories F-Theory M-Theory Gauge Symmetry |
| title | 6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications |
| title_full | 6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications |
| title_fullStr | 6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications |
| title_full_unstemmed | 6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications |
| title_short | 6d N $$ \mathcal{N} $$ = (1, 0) anomalies on S 1 and F-theory implications |
| title_sort | 6d n mathcal n 1 0 anomalies on s 1 and f theory implications |
| topic | Anomalies in Field and String Theories F-Theory M-Theory Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)133 |
| work_keys_str_mv | AT pierrecorvilain 6dnmathcaln10anomaliesons1andftheoryimplications |