Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-11
Phys.Rev.D77:026002,2008
Physics
High Energy Physics
High Energy Physics - Theory
1+34 pages LaTeX with 5 figures, some wording changed and references added
Scientific paper
10.1103/PhysRevD.77.026002
We investigate resolutions of heterotic orbifolds using toric geometry. Our starting point is provided by the recently constructed heterotic models on explicit blowup of C^n/Z_n singularities. We show that the values of the relevant integrals, computed there, can be obtained as integrals of divisors (complex codimension one hypersurfaces) interpreted as (1,1)-forms in toric geometry. Motivated by this we give a self contained introduction to toric geometry for non-experts, focusing on those issues relevant for the construction of heterotic models on toric orbifold resolutions. We illustrate the methods by building heterotic models on the resolutions of C^2/Z_3, C^3/Z_4 and C^3/Z_2xZ_2'. We are able to obtain a direct identification between them and the known orbifold models. In the C^3/Z_2xZ_2' case we observe that, in spite of the existence of two inequivalent resolutions, fully consistent blowup models of heterotic orbifolds can only be constructed on one of them.
Ha Tae-Won
Nibbelink Stefan Groot
Trapletti Michele
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