Extension bundles and the standard model | Zendy

Björn Andreas | Zendy; Gottfried Curio | Zendy

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Extension bundles and the standard model

Author(s) -

Björn Andreas,

Gottfried Curio

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/07/053

Subject(s) - fibration , vector bundle , heterotic string theory , pure mathematics , mathematics , fibered knot , tautological line bundle , line bundle , principal bundle , gauge group , rank (graph theory) , normal bundle , gauge theory , combinatorics , frame bundle , mathematical physics , homotopy

We construct a new class of stable vector bundles suitable for heteroticstring compactifications. Using these we describe a novel way to derive thefermionic matter content of the Standard Model from the heterotic string. Forthis we compactify on an elliptically fibered Calabi-Yau threefold X with twosections, the B-fibration, a variant of the ordinary Weierstrass fibration,which allows X to carry a free involution. We construct rank five vectorbundles, invariant under this involution, such that turning on a Wilson line weobtain the Standard Model gauge group and find various three generation models.This rank five bundle is derived from a stable rank four bundle that arises asan extension of bundles pulled-back from the base and twisted by suitable linebundles. We also give an account of various previous results and put thepresent construction into perspective.Comment: 31 pages, harvmac, references adde

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