Resolved toroidal orbifolds and their orientifolds

Lüst, Dieter; Reffert, Susanne; Scheidegger, Emanuel; Stieberger, Stephan

doi:10.4310/atmp.2008.v12.n1.a2

Cited by 90 publications

(218 citation statements)

References 40 publications

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“…are hyperplanes not passing through a fixed point [4]. As opposed to the D iα they are allowed to move.…”

Section: Type Iib Orientifolds Of Z N -And Z N × Z M -Orbifoldsmentioning

confidence: 99%

“…These numbers are determined for the orientifolds of the resolved orbifolds (5.1) in Ref. [4] and are displayed in Table 4. In the previous section we have discussed the different stabilization mechanisms for these two kinds of Kähler moduli.…”

Section: Type Iib Orientifolds Of Z N -And Z N × Z M -Orbifoldsmentioning

confidence: 99%

“…We choose the orientifold action such that it gives rise to O3-planes and O7-planes. On the local C 3 /Γ patches, an involution, possibly involving the new coordinates associated to the exceptional divisors is chosen, see Section 5 of [4].…”

Section: Type Iib Orientifolds Of Z N -And Z N × Z M -Orbifoldsmentioning

confidence: 99%

“…|Λ AdS | ∼ O(1T eV ) 4 . This method has the advantage that supersymmetric AdS-vacua with stabilized moduli are much easier to be constructed than supersymmetric Minkowski vacua with stabilized moduli fields.…”

Section: Introductionmentioning

confidence: 99%

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Moduli stabilization in type IIB orientifolds (II)

et al. 2007

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We discuss general properties of moduli stablization in KKLT scenarios in type IIB orientifold compactifications X 6 . In particular, we find conditions for the Kähler potential to allow a KKLT scenario for a manifold X 6 without complex structure moduli, i.e. h (−) (2,1) (X 6 ) = 0. This way, a whole class of type IIB orientifolds with h (−) (2,1) (X 6 ) = 0 is ruled out. This excludes in particular all Z N -and Z N × Z M -orientifolds X 6 with h (2,1) (X 6 ) = 0 for a KKLT scenario. This concerns Z 3 , Z 7 , Z 3 × Z 3 , Z 4 × Z 4 , Z 6 × Z 6 and Z 2 × Z 6 ′ -both at the orbifold point and away from it. Furthermore, we propose a mechanism to stabilize the Kaehler moduli accociated to the odd cohomology H (1,1) − (X 6 ). In the second part of this work we discuss the moduli stabilization of resolved type IIB Z N -or Z N × Z M -orbifold/orientifold compactifications. As examples for the resolved Z 6 and Z 2 × Z 4 orbifolds we fix all moduli through a combination of fluxes and racetrack superpotential.

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“…are hyperplanes not passing through a fixed point [4]. As opposed to the D iα they are allowed to move.…”

Section: Type Iib Orientifolds Of Z N -And Z N × Z M -Orbifoldsmentioning

confidence: 99%

Section: Type Iib Orientifolds Of Z N -And Z N × Z M -Orbifoldsmentioning

confidence: 99%

Section: Type Iib Orientifolds Of Z N -And Z N × Z M -Orbifoldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Moduli stabilization in type IIB orientifolds (II)

et al. 2007

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“…[14][15][16][17][18][19]). The transition from an orbifold to a smooth compactification is achieved by giving VEVs to twisted states, stringy degrees of freedom residing at the orbifold singularities.…”

Section: Introductionmentioning

confidence: 99%

A Z2×Z2 standard model

et al. 2010

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We present a 2 × 2 orbifold compactification of the E 8 × E 8 heterotic string which gives rise to the exact chiral MSSM spectrum. The GUT breaking SU(5) → SU(3) C × SU(2) L × U(1) Y is realized by modding out a freely acting symmetry. This ensures precision gauge coupling unification. Further, it allows us to break the GUT group without switching on flux in hypercharge direction, such that the standard model gauge bosons can remain massless when the orbifold singularities are blown up. The model has vacuum configurations with matter parity, a large top Yukawa coupling and other phenomenologically appealing features.

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Local grand unification in the heterotic landscape

Schmidt

2009

Fortschritte der Physik

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We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in six dimensions is derived from an anisotropic orbifold compactification of the heterotic string. It is explicitly shown that all anomalies cancel in the model, though anomalous Abelian gauge symmetries are present locally at the boundary singularities. In the supersymmetric vacuum additional interactions arise from higher-dimensional operators. We develop methods that relate the couplings of the effective theory to the location of the vacuum, and find that unbroken discrete symmetries play an important role for the phenomenology of orbifold models. An efficient algorithm for the calculation of the superpotential to arbitrary order is developed, based on symmetry arguments. We furthermore present a correspondence between bulk fields of the orbifold model in six dimensions, and the moduli fields that arise from compactifying four internal dimensions on a manifold with non-trivial gauge background.arXiv:0906.5501v2 [hep-th]

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Resolved toroidal orbifolds and their orientifolds

Abstract: We discuss the resolution of toroidal orbifolds. For the resulting smooth Calabi-Yau manifolds, we calculate the intersection ring and determine the divisor topologies. In a next step, the orientifold quotients are constructed. e-print archive: http://lanl.arXiv.org/abs/hep-th/0609014

Cited by 90 publications

References 40 publications

Moduli stabilization in type IIB orientifolds (II)

Moduli stabilization in type IIB orientifolds (II)

A Z2×Z2 standard model

Local grand unification in the heterotic landscape

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