Invariant bundles on B-fibered Calabi-Yau spaces and the Standard Model - INSPIRE

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Invariant bundles on B-fibered Calabi-Yau spaces and the Standard Model

Feb, 2006

22 pages

Published in:

Adv.Theor.Math.Phys. 12 (2008) 757-779

Published: Aug, 2008

e-Print:

hep-th/0602247 [hep-th]

DOI:

10.4310/ATMP.2008.v12.n4.a2

Report number:

ASC-LMU-08-06

View in:

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Abstract:

We derive the Standard model gauge group together with chiral fermion generations from the heterotic string by turning on a Wilson line on a non-simply connected Calabi-Yau threefold with an SU(5) gauge group. For this we construct stable

{\bf Z_2}

-invariant

SU(4)\times U(1)

bundles on an elliptically fibered cover Calabi-Yau threefold of special fibration type (the

B

-fibration). The construction makes use of a modified spectral cover approach giving just invariant bundles.

Note:

21 pages, description of embedding included: minor changes Report-no: ASC-LMU 08/06

string model: heterotic
gauge field theory: E(8) x E(8)
compactification
Wilson loop
fibre bundle
symmetry breaking
membrane model
particle: multiplet
group theory: representation

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Figures(0)

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