Exploring a new peak in the heterotic landscape

Details Exploring a new peak in the heterotic landscape Exploring a new peak in the heterotic landscape

2008-11-10

arxiv.org/abs/0811.1242v2

JHEP 06 (2010) 108, pp.1-31

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, v2: minor modifications in section 4

Scientific paper

10.1007/JHEP06(2010)108

We study the existence of realistic heterotic vacua on a new Abelian surface fibered Calabi-Yau threefold X with Z_8 x Z_8 fundamental group. Our main result is a no-go theorem, which says that (under mild assumptions) there is no stable holomorphic vector bundle on X satisfying the constraints required by global consistency of the heterotic vacuum and phenomenology. To prove the theorem we explore in some detail the Fourier-Mukai transform of vector bundles on Abelian surface fibrations.

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