The spectrum of BPS branes on a noncompact Calabi-Yau

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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harvmac, 45 pp. (v2: added references)

Scientific paper

10.1088/1126-6708/2005/09/057

We begin the study of the spectrum of BPS branes and its variation on lines of marginal stability on O_P^2(-3), a Calabi-Yau ALE space asymptotic to C^3/Z_3. We show how to get the complete spectrum near the large volume limit and near the orbifold point, and find a striking similarity between the descriptions of holomorphic bundles and BPS branes in these two limits. We use these results to develop a general picture of the spectrum. We also suggest a generalization of some of the ideas to the quintic Calabi-Yau.

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