Anomaly Equations and Intersection Theory

Details Anomaly Equations and Intersection Theory Anomaly Equations and Intersection Theory

2011-11-09

arxiv.org/abs/1111.2351v2

JHEP 1201:093,2012

Physics

High Energy Physics

High Energy Physics - Theory

29 pages + appendices, 8 figures; v2: minor corrections, references added

Scientific paper

10.1007/JHEP01(2012)093

Six-dimensional supergravity theories with N=(1,0) supersymmetry must satisfy anomaly equations. These equations come from demanding the cancellation of gravitational, gauge and mixed anomalies. The anomaly equations have implications for the geometrical data of Calabi-Yau threefolds, since F-theory compactified on an elliptically fibered Calabi-Yau threefold with a section generates a consistent six-dimensional N=(1,0) supergravity theory. In this paper, we show that the anomaly equations can be summarized by three intersection theory identities. In the process we also identify the geometric counterpart of the anomaly coefficients---in particular, those of the abelian gauge groups---that govern the low-energy dynamics of the theory. We discuss the results in the context of investigating string universality in six dimensions.

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