Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds

By Ralph Blumenhagen, Sebastian Moster, T. Weigand. 2006

179 citations recorded by the source corpus.

Abstract We consider four-dimensional supersymmetric compactifications of the E 8 × E 8 heterotic string on Calabi–Yau manifolds endowed with vector bundles with structure group SU ( N ) × U ( 1 ) and five-branes. After evaluating the Green–Schwarz mechanism and deriving the generalized Donaldson–Uhlenbeck–Yau condition including the five-brane moduli, we show that this construction can give rise to GUT models containing U ( 1 ) factors like flipped SU ( 5 ) or directly the Standard Model even on simply connected Calabi–Yau manifolds. Concrete realizations of three-generation models on elliptically fibered Calabi–Yau manifolds are presented. They exhibit the most attractive features of flipped SU ( 5 ) models such as doublet–triplet splitting and proton stability. In contrast to conventional GUT string models, the tree level relations among the Standard Model gauge couplings at the GUT scale are changed.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/693593a3d36711c5d6fb7dcf2b7606365878ab09

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In Nuclear and High Energy Physics

Citations in the corpus

Global F-theory GUTs (2009, methodology): “This construction was in fact worked out in the context of the heterotic string in [34, 35, 36] to incorporate the GUT breaking in exactly the manner that has come to fame in F-theory models since the appearance of [2, 4].”
GUTs and exceptional branes in F-theory — II. Experimental predictions (2008, background): “See [25, 30, 31] for further details on this approach.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “See [269, 299, 300, 297, 301] for more details on four-dimensional heterotic string models with U(N) bundles.”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “Realisations of hypercharge as a linear combination of a U(1) inside SU(5)GUT and additional U(1) factors can allow for the use of hypercharge flux in the heterotic string, though the canonical normalisation of the generator and therefore the prediction of gauge coupling unification is then lost [29”
Illuminating the hidden sector of string theory by shining light through a magnetic field (2006, background): “, [17]), the story is more subtle and more varied, but quite generally there are clear hints that string theory naturally leads to a generation of χ 6= 0 [11, 12, 13, 14, 16], and can naturally give values of the right order of magnitude.”
Breaking GUT groups in $F$-theory (2008, background): “One may still use the trick of getting a massless hypercharge as a linear combination of two different sectors, as studied in [24, 25, 26, 27], though at the cost of giving up unification.”
Kinetic Mixing of the Photon with Hidden U(1)s in String Phenomenology (2008, background): “[64, 65, 66]), but with a trivial but crucial difference: the group-theoretical prefactors”
Heterotic line bundle standard models (2012, methodology): “Previous model building attempts [6–18] have mostly focused on vector bundles V with a non-Abelian structure group.”
GUTs in Type IIB Orientifold Compactifications (2008, methodology): “In the heterotic context of [34], in order to maintain gauge coupling unification without relying on large threshold corrections it is necessary to consider the large gs limit of heterotic M-theory [36].”
Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds (2011, methodology): “Slope-stable bundles with SU(n) structure groups (for n = 3, 4, 5), unrelated to the tangent bundle, have been used in the attempt to build stringy standard models [2–12].”