Loop-corrected compactifications of the heterotic string with line bundles

By Ralph Blumenhagen, G. Honecker, T. Weigand. 2005

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We consider the E 8 ? E 8 heterotic string theory compactified on Calabi-Yau manifolds with bundles containing abelian factors in their structure group. Generic low energy consequences such as the generalised Green-Schwarz mechanism for the multiple anomalous abelian gauge groups are studied. We also compute the holomorphic gauge couplings and induced Fayet-Iliopoulos terms up to one-loop order, where the latter are interpreted as stringy one-loop corrections to the Donaldson-Uhlenbeck-Yau condition. Such models generically have frozen combinations of K?hler and dilaton moduli. We study concrete bundles with structure group SU(N) ? U(1) M yielding quasi-realistic gauge groups with chiral matter given by certain bundle cohomology classes. We also provide a number of explicit tadpole free examples of bundles defined by exact sequences of sums of line bundles over complete intersection Calabi-Yau spaces. This includes one example with precisely the Standard Model gauge symmetry.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2f5fd1f67c3c9c8def1127f88a0749503793925d

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Citations in the corpus

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.”
Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds (2006, methodology): “In this respect we will extend the analysis of [21] to vacua including also heterotic five-branes.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “139) embedded in for instance the first of the two E8 factors [296] Z8 = 1 2πgs l(6)s ∫”
Anomalies, anomalous U(1)'s and generalized Chern-Simons terms (2006, background): “There have been recent discussions of heterotic compactifications in the supergravity limit, where the possibility of several anomalous U(1) factors was pointed out, [5].”
Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, background): “A very similar story is likewise expected in the context of E8×E8 heterotic compactifications with anomalous U(1) factors as they generically appear upon embedding line or U(N) vector bundles into E8 × E8 [3, 43].”
GUTs in Type IIB Orientifold Compactifications (2008, methodology): “As is familiar from the analogous embedding of U(1) bundles in heterotic compactifications [32] the number of massless states after GUT symmetry breaking is computed by dressing the bundles appearing in the cohomology groups by a factor of LqY .”
Testing string vacua in the lab: from a hidden CMB to dark forces in flux compactifications (2011, methodology): “theory in [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]) with the electromagnetic(12) U(1), L ⊃ −(1) 4 F (vis) μν F μν (vis) − 1 4 F (hid) μν F μν (hid) + χ 2 F (vis) μν F (hid)μν +m(2)γ′A (hid) μ A (hid)μ +A μ j , (1.”
Heterotic line bundle standard models (2012, background): “For most models, all additional U(1) symmetries are GreenSchwarz anomalous [2,43–48] and, hence, the associated gauge bosons are super-heavy.”
Model building with $F$-theory (2008, background): “The heterotic Green–Schwarz terms also give a loop correction to this expression of the form [77,78]”
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].”
New aspects of Heterotic–F-theory duality (2008, unknown): “This is an F-theory translation of a condition in [34].”