E8 geometry
نویسندگان
چکیده
منابع مشابه
Regular Two-graphs from the Even Unimodular Lattice E8 + E8
This is a revised version of the rst part of 8]. Each two-graph is in one-to-one correspondence with a set of equiangular lines. This implies that a two-graph is represented by a system of vectors of equal odd norm with mutual inner products
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In a previous paper, we introduced a heterotic standard model and discussed its basic properties. This vacuum has the spectrum of the MSSM with one additional pair of Higgs-Higgs conjugate fields and a small number of uncharged moduli. In this paper, the requisite vector bundles are formulated; specifically, stable, holomorphic bundles with structure group SU(N) on smooth Calabi-Yau threefolds ...
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We show that every algebraic group of type E8 over any field becomes split over some field extension of degree dividing 26 · 32 · 5 = 2880. This improves a bound by Tits and, in fact, is optimal.
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We show how the level matching condition in six dimensional, abelian and supersymmetric orbifolds of the E8 × E8 heterotic string can be given equivalently in terms of fractional gauge and gravitational instanton numbers. This relation is used to restate the classification of the orbifolds in terms of flat bundles away from the orbifold singularities under the constraint of the level matching c...
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We present a systematic way of generating F-theory models dual to nonperturbative vacua (i.e., vacua with extra tensor multiplets) of heterotic E8×E8 strings compactified on K3, using hypersurfaces in toric varieties. In all cases, the Calabi-Yau is an elliptic fibration over a blow up of the Hirzebruch surface IFn. We find that in most cases the fan of the base of the elliptic fibration is vis...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2015
ISSN: 1029-8479
DOI: 10.1007/jhep07(2015)007