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# Paul Aspinwall : Lie Groups, Calabi-Yau Threefolds and Anomalies

A limit of a suitably-chosen string theory compactified on an elliptic Calabi-Yau threefold is believed to be equivalent to a Yang-Mills field theory with gravity in six dimensions. The Lie group associated to this Yang-Mills theory is encoded in the geometry of the Calabi-Yau space --- the Cartan subalgebra is generated by ruled surfaces and the weights of representations of fields appear as rational curves living inside the threefold. Cancellation of anomalies in the six-dimensional field theory predicts rather peculiar constraints on the configurations of such ruled surfaces and rational curves.

**Category**: Other Meetings and Events**Duration**: 58:32**Date**: September 29, 1998 at 4:00 PM**Views**: 32-
**Tags:**seminar, Geometry/Topology Seminar

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