Standard-model bundles on non-simply connected Calabi-Yau threefolds | Zendy

Ron Donagi | Zendy; Burt A. Ovrut | Zendy; Tony Pantev | Zendy; Daniel Waldram | Zendy

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Standard-model bundles on non-simply connected Calabi-Yau threefolds

Author(s) -

Ron Donagi,

Burt A. Ovrut,

Tony Pantev,

Daniel Waldram

Publication year - 2001

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 - 10.1088/1126-6708/2001/08/053

Subject(s) - heterotic string theory , fibered knot , calabi–yau manifold , f theory , holomorphic function , vector bundle , pure mathematics , anomaly (physics) , euler characteristic , mathematics , string (physics) , gauge group , physics , theoretical physics , mathematical physics , gauge theory , quantum mechanics

We give a proof of the existence of $G=SU(5)$, stable holomorphic vectorbundles on elliptically fibered Calabi--Yau threefolds with fundamental group$\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomalythat can be absorbed by M-theory five-branes. Such bundles provide the basisfor constructing the standard model in heterotic M-theory. They are alsoapplicable to vacua of the weakly coupled heterotic string. We explicitlypresent a class of three family models with gauge group $SU(3)_C\timesSU(2)_L\times U(1)_Y$.Comment: Reference to the work of C.Schoen adde

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