Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds

By Ralph Blumenhagen, Sebastian Moster, Erik Plauschinn. 2007

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We investigate the general question of implementing a chiral MSSM like D-brane sector in Type IIB orientifold models with complete moduli stabilisation via F-terms induced by fluxes and space-time instantons, respectively gaugino condensates. The prototype examples are the KKLT and the so-called large volume compactifications. We show that the ansatz of first stabilising all moduli via F-terms and then introducing the Standard Model module is misleading, as a chiral sector notoriously influences the structure of non-perturbative effects and induces a D-term potential. Focusing for concreteness on the large volume scenario, we work out the geometry of the swiss-cheese type Calabi-Yau manifold P_[1,3,3,3,5][15]_(3,75) and analyse whether controllable and phenomenologically acceptable Kaehler moduli stabilisation can occur by the combination of F- and D-terms.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b9c4aea69aa45f50551bb184617f9339dd552aee

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Citations in the corpus

MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “tension between moduli stabilisation via non-perturbative effects and chirality (first pointed out in [100]), tension between moduli stabilisation via non-perturbative effects and the cancellation of Freed-Witten anomalies.”
D-brane Deconstructions in IIB Orientifolds (2008, background): “• Slow roll inflation can be accommodated, at least in fine tuned local models [10, 11, 12, 13].”
Towards universal axion inflation and reheating in string theory (2014, background): “For simplicity, we first assume that the D7-branes wrap the small cycle, even though this is against the instanton zero-mode arguments of [26].”
d-Brane Instantons in Type II Orientifolds (2009, background): “In particular the volume modulus associated with cycles wrapped by chirally intersecting D-branes cannot be stabilized in this manner [137].”
Testing string vacua in the lab: from a hidden CMB to dark forces in flux compactifications (2011, background): “(4.59) The supersymmetry requirement of having vanishing D-terms then forces the 2-cycle t3 to shrink to zero size: t3 → 0.”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “The matter field |C| would therefore have a vanishing VEV which could however become non-zero via RG running below the string scale. τvs would then develop a very small VEV compatible with the singular regime and one could obtain a viable QCD axion from the phase of a matter field analogous to the s”
GUTs in Type IIB Orientifold Compactifications (2008, background): “Moreover, also the coexistence of Euclidean D3-brane instanton contributions to the superpotential and the desired presence of a chiral GUT D7-brane sector implies additional constraints [60].”
Les Houches Lectures on Constructing String Vacua (2008, background): “A short recent overview with the relevant references, in particular for IIB appications, can be found in [89].”
Global F-theory GUTs (2009, background): “As pointed out in [72] and further elaborated on in [73], these two questions can actually not be considered independently, and the interplay of the closed and open sector is crucial to understand such pressing questions as the scale of supersymmetry breaking and its mediation in consistent models.”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “Furthermore, there is a well-known tension between moduli stabilisation of the SM cycle and the existence of chiral matter [19], which, together with D-term conditions, tend to stabilise some Kähler moduli towards a collapsing cycle and therefore having the SM brane at a singularity [20–22].”
SUSY breaking in local string/F-theory models (2009, background): “In [7], it was pointed out that instanton zero mode counting actually forbids such a scenario and that the D7-branes and instantonic D3-branes should better wrap distinct four-cycles in the underlying Calabi-Yau manifold.”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, background): “The situation is similar to the tension between moduli stabilisation by non-perturbative effects and chirality discussed in [27]; although in our case this results into a much weaker constraint as the open string fields belong to a hidden sector, and so can get non-zero VEVs.”