Generalized Green-Schwarz mechanism in F theory

Physics – High Energy Physics – High Energy Physics - Theory

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11 pages, harvmac. Normalization of (tr R^2)^2 term corrected

Scientific paper

10.1016/0370-2693(96)01134-3

We derive the anomaly 8-form of 6-dimensional gauge theories arising in F theory compactifications on elliptic Calabi-Yau threefolds. The result allows to determine the matter content of certain such theories in terms of intersection numbers on the base of elliptic fibration. We also discuss gauge theories on 7-branes with double point singularities on the worldvolume. Applications to Type II compactifications on Hirzebruch surfaces and $P^2$ are outlined.

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