学術雑誌論文 Gauge groups and matter fields on some models of F-theory without section

Kimura, Yusuke

20162016-03 , Springer Verlag
ISSN:1029-8479
NII書誌ID(NCID):AA1188279X
内容記述
We investigate F-theory on an elliptic Calabi-Yau 4-fold without a section to the fibration. To construct an elliptic Calabi-Yau 4-fold without a section, we introduce families of elliptic K3 surfaces which do not admit a section. A product K3 × K3, with one of the K3’s chosen from these families of elliptic K3 surfaces without a section, realises an elliptic Calabi-Yau 4-fold without a section. We then compactify F-theory on such K3 × K3’s. We determine the gauge groups and matter fields which arise on 7-branes for these models of F-theory compactifications without a section. Since each K3 × K3 constructed does not have a section, gauge groups arising on 7-branes for F-theory models on constructed K3 × K3’s do not have U(1)-part. Interestingly, exceptional gauge group E6 appears for some cases.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/210367/1/JHEP03%282016%29042.pdf

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