Anomaly Cancelation in Field Theory and F-theory on a Circle

Understand

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.