Anomaly Cancelation in Field Theory and F-theory on a Circle
| Autor: | Grimm, Thomas W., Kapfer, Andreas, Sub String Theory Cosmology and ElemPart, Theoretical Physics |
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| Přispěvatelé: | Sub String Theory Cosmology and ElemPart, Theoretical Physics |
| Rok vydání: | 2016 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Compactification (physics) 010308 nuclear & particles physics hep-th FOS: Physical sciences 01 natural sciences F-theory Massless particle Theoretical physics High Energy Physics - Theory (hep-th) 0103 physical sciences Homogeneous space Coulomb Effective field theory Abelian group 010306 general physics |
| Zdroj: | Journal of High Energy Physics, 102. Springer Verlag Journal of High Energy Physics |
| ISSN: | 1126-6708 |
| Popis: | We study the manifestation of local gauge anomalies of four- and six-dimensional field theories in the lower-dimensional Kaluza-Klein theory obtained after circle compactification. We identify a convenient set of transformations acting on the whole tower of massless and massive states and investigate their action on the low-energy effective theories in the Coulomb branch. The maps employ higher-dimensional large gauge transformations and precisely yield the anomaly cancelation conditions when acting on the one-loop induced Chern-Simons terms in the three- and five-dimensional effective theory. The arising symmetries are argued to play a key role in the study of the M-theory to F-theory limit on Calabi-Yau manifolds. For example, using the fact that all fully resolved F-theory geometries inducing multiple Abelian gauge groups or non-Abelian groups admit a certain set of symmetries, we are able to generally show the cancelation of pure Abelian or pure non-Abelian anomalies in these models. Comment: 48 pages, 2 figures; v2: typos corrected, comments on circle fluxes added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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