Non-Abelian bundles on heterotic non-compact K3 orbifold blowups - High Energy Physics - TheoryReport as inadecuate




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Abstract: Instantons on Eguchi-Hanson spaces provide explicit examples of stablebundles on non-compact four dimensional C^2-Z n orbifold resolutions withnon-Abelian structure groups. With this at hand, we can considercompactifications of ten dimensional SO32 supergravity arising as the lowenergy limit of the heterotic string on the resolved spaces in the presence ofnon-Abelian bundles. We provide explicit examples in the resolved C^2-Z 3 case,and give a complete classification of all possible effective six dimensionalmodels where the instantons are combined with Abelian gauge fluxes in order tofulfil the local Bianchi identity constraint. We compare these models with thecorresponding C^2-Z 3 orbifold models, and find that all of these gaugebackgrounds can be related to configurations of vacuum expectation valuesVEV-s of twisted and sometimes untwisted states. Gauge groups and spectra areidentical from both the orbifold and the smooth bundle perspectives.



Author: Stefan Groot Nibbelink, Filipe Paccetti Correia, Michele Trapletti

Source: https://arxiv.org/



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