Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-15
Adv.Theor.Math.Phys. 9 (2005) 253-284
Physics
High Energy Physics
High Energy Physics - Theory
30pp, harvmac
Scientific paper
An explicit description of the spectral data of stable U(n) vector bundles on elliptically fibered Calabi-Yau threefolds is given, extending previous work of Friedman, Morgan and Witten. The characteristic classes are computed and it is shown that part of the bundle cohomology vanishes. The stability and the dimension of the moduli space of the U(n) bundles are discussed. As an application, it is shown that the U(n) bundles are capable to solve the basic topological constraints imposed by heterotic string theory. Various explicit solutions of the Donaldson-Uhlenbeck-Yau equation are given. The heterotic anomaly cancellation condition is analyzed; as a result an integral change in the number of fiber wrapping five-branes is found. This gives a definite prediction for the number of three-branes in a dual F-theory model. The net-generation number is evaluated, showing more flexibility compared with the SU(n) case.
Andreas Bjorn
Ruiperez Daniel Hernandez
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